http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Jjoyce32 2026-05-05T20:37:58Z User contributions MediaWiki 1.42.7 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11200 2015-12-04T02:25:36Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> __TOC__<br /> <br /> <br /> <br /> == '''The Main Idea''' ==<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> == '''A Mathematical Model''' ==<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> == '''A Computational Model''' ==<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|The curly magnetic field of a bar magnet.]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> == '''Examples''' ==<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> == '''Connectedness''' ==<br /> ----<br /> [[File:Series L0.JPG|thumb|left|An experimental MAGLEV train created by Japanese engineers.]]<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> <br /> <br /> <br /> <br /> == '''History''' ==<br /> ----<br /> [[File:James Clerk Maxwell.png|thumb|right|James Clerk Maxwell]]<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> == '''External links''' ==<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> == '''References''' ==<br /> ----<br /> # http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> # https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> # http://www.howmagnetswork.com/history.html<br /> # https://en.wikipedia.org/wiki/Maglev#/media/File:Series_L0.JPG<br /> # https://en.wikipedia.org/wiki/James_Clerk_Maxwell#/media/File:James_Clerk_Maxwell.png<br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11198 2015-12-04T02:24:51Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> __TOC__<br /> <br /> <br /> <br /> == '''The Main Idea''' ==<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> == '''A Mathematical Model''' ==<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> == '''A Computational Model''' ==<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|The curly magnetic field of a bar magnet.]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> == '''Examples''' ==<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> == '''Connectedness''' ==<br /> ----<br /> [[File:Series L0.JPG|thumb|left|An experimental MAGLEV train created by Japanese engineers.]]<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> == '''History''' ==<br /> ----<br /> [[File:James Clerk Maxwell.png|thumb|right|James Clerk Maxwell]]<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> == '''External links''' ==<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> == '''References''' ==<br /> ----<br /> # http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> # https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> # http://www.howmagnetswork.com/history.html<br /> # https://en.wikipedia.org/wiki/Maglev#/media/File:Series_L0.JPG<br /> # https://en.wikipedia.org/wiki/James_Clerk_Maxwell#/media/File:James_Clerk_Maxwell.png<br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11194 2015-12-04T02:21:30Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> __TOC__<br /> <br /> <br /> <br /> == '''The Main Idea''' ==<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> == '''A Mathematical Model''' ==<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> == '''A Computational Model''' ==<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|The curly magnetic field of a bar magnet.]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> == '''Examples''' ==<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> == '''Connectedness''' ==<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> == '''History''' ==<br /> ----<br /> [[File:James Clerk Maxwell.png|thumb|right|James Clerk Maxwell]]<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> == '''External links''' ==<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> == '''References''' ==<br /> ----<br /> # http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> # https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> # http://www.howmagnetswork.com/history.html<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11193 2015-12-04T02:20:47Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> __TOC__<br /> <br /> <br /> <br /> == '''The Main Idea''' ==<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> == '''A Mathematical Model''' ==<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> == '''A Computational Model''' ==<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> == '''Examples''' ==<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> == '''Connectedness''' ==<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> == '''History''' ==<br /> ----<br /> [[File:James Clerk Maxwell.png|thumb|right|James Clerk Maxwell]]<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> == '''External links''' ==<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> == '''References''' ==<br /> ----<br /> # http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> # https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> # http://www.howmagnetswork.com/history.html<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11190 2015-12-04T02:18:16Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> __TOC__<br /> <br /> <br /> <br /> == '''The Main Idea''' ==<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> == '''A Mathematical Model''' ==<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> == '''A Computational Model''' ==<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> == '''Examples''' ==<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> == '''Connectedness''' ==<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> == '''History''' ==<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> == '''External links''' ==<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> == '''References''' ==<br /> ----<br /> # http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> # https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> # http://www.howmagnetswork.com/history.html<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11189 2015-12-04T02:17:06Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> __TOC__<br /> <br /> <br /> <br /> == '''The Main Idea''' ==<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> == '''A Mathematical Model''' ==<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> == '''A Computational Model''' ==<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> == '''Examples''' ==<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> == '''Connectedness''' ==<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> == '''History''' ==<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> == '''External links''' ==<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> == '''References''' ==<br /> ----<br /> http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11186 2015-12-04T02:13:08Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> __TOC__<br /> Contents [hide] <br /> 1 The Main Idea <br /> 1.1 A Mathematical Model <br /> 1.2 A Computational Model<br /> 2 Examples <br /> 3 Connectedness<br /> 4 History<br /> 5 External links <br /> 6 References<br /> <br /> <br /> '''The Main Idea'''<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> '''A Mathematical Model'''<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> '''A Computational Model'''<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> '''Examples'''<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> '''History'''<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> '''External links'''<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> '''References'''<br /> ----<br /> http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11184 2015-12-04T02:12:50Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> __TOC__<br /> Contents [hide] <br /> 1 The Main Idea <br /> 1.1 A Mathematical Model <br /> 1.2 A Computational Model<br /> 2 Examples <br /> 3 Connectedness<br /> 4 History<br /> 5 External links <br /> 6 References<br /> <br /> <br /> '''The Main Idea'''<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> '''A Mathematical Model'''<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> '''A Computational Model'''<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> '''Examples'''<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> '''History'''<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> '''External links'''<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> '''References'''<br /> ----<br /> http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11177 2015-12-04T02:11:33Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea [1]<br /> 1.1 A Mathematical Model [1.1]<br /> 1.2 A Computational Model [1.2]<br /> 2 Examples [2]<br /> 3 Connectedness [3]<br /> 4 History [4]<br /> 5 External links [5]<br /> 6 References [6]<br /> '''The Main Idea'''<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> '''A Mathematical Model'''<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> '''A Computational Model'''<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> '''Examples'''<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> '''History'''<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> '''External links'''<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> '''References'''<br /> ----<br /> http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11175 2015-12-04T02:11:06Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea [1]<br /> 1.1 A Mathematical Model [1.1]<br /> 1.2 A Computational Model [1.2]<br /> 2 Examples [2]<br /> 3 Connectedness [3]<br /> 4 History [4]<br /> 5 External links [5]<br /> 6 References [6]<br /> '''The Main Idea'''<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> '''A Mathematical Model'''<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> '''A Computational Model'''<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> '''Examples'''<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> '''History'''<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> '''External links'''<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> '''References'''<br /> ----<br /> http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11168 2015-12-04T02:08:43Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> '''The Main Idea'''<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> '''A Mathematical Model'''<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> '''A Computational Model'''<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> <br /> '''Examples'''<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> '''History'''<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> '''External links'''<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> '''References'''<br /> ----<br /> http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''<br /> <br /> __FORCETOC__</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11166 2015-12-04T02:07:31Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> '''The Main Idea'''<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> '''A Mathematical Model'''<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> '''A Computational Model'''<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> '''Examples'''<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> '''History'''<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> '''External links'''<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> '''References'''<br /> ----<br /> http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11164 2015-12-04T02:04:57Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''[edit]<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> '''History'''[edit]<br /> ----<br /> The first magnets were not invented, but rather discovered. The ancient Greeks and ancient Chinese peoples stumbled upon a naturally occurring material, called magnetite, by mistake. People were so astounded by it that tales were told of magical islands where magnetic nature was everywhere. The Chinese actually developed a compass around 4500 years using this magnetite!<br /> <br /> Despite not being the first people to study magnetism, Hans Christian Oersted did prove that electricity and magnetism were related by bringing a current carrying wire close to a compass needle. However, it wasn't until Maxwell published his findings in 1862 that led to the relationships between electricity and magnetism (Maxwell's Equations; see other Wikipedia page). <br /> <br /> <br /> '''External links'''[edit]<br /> ----<br /> # MAGLEV Trains: http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html<br /> # More information on Bar Magnets: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> <br /> <br /> <br /> '''References'''[edit]<br /> ----<br /> http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/elemag.html<br /> https://en.wikipedia.org/wiki/Magnet#/media/File:VFPt_cylindrical_magnet_thumb.svg<br /> <br /> Category: '''Fields'''<br /> <br /> '''Created by: John Joyce'''</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11157 2015-12-04T01:55:26Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''[edit]<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> # MAGLEV Trains: &lt;link&gt;http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html&lt;/link&gt;<br /> <br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11155 2015-12-04T01:53:17Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''[edit]<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> # [[http://www.scienceclarified.com/everyday/Real-Life-Physics-Vol-3-Biology-Vol-1/Magnetism-Real-life-applications.html|MAGLEV Trains]]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11154 2015-12-04T01:51:58Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''[edit]<br /> ----<br /> One very interesting applications of magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of magnets where the magnets on the bottom of the train repel the magnets on the tracks below it. Sending an electric current through the coils on the bottom of the track allows the train to levitate a few inches off the ground, and propelling the current through the guided coils on the bottom of the track propels the train forward at unbelievable speeds (up to 250 MPH!).<br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> <br /> <br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11152 2015-12-04T01:48:15Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> <br /> '''Connectedness'''[edit]<br /> ----<br /> One very interesting applications of bar magnets is their ability to levitate objects. This is the main driving force in the case of MAGLEV trains. Magnetic levitation, or MAGLEV trains, hover above a long series of bar magnets where the magnets on the bottom of the train are close to the same pole on the tracks below it. For example, if a MAGLEV train has all of its magnets with the north pole facing the tracks, the tracks would have its magnets with the north pole facing upward, so that they can repel each other, and thus, make the train levitate. <br /> <br /> Making the train levitate is a useful tool because it reduces the amount of friction between the wheels and the track, and it allows for less fossil fuels to be used in order to make the train propel forwards. <br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11144 2015-12-04T01:40:45Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Rearranging to solve this equation for N, we get: &lt;math&gt; N = \frac{\mu (z^{2}+R^{2})^{3/2}}{I\pi R^{2} d^{3}} &lt;/math&gt;<br /> <br /> Plugging in .58 the magnetic dipole moment (mu), .096 meters for z, .035 meters for R, .96 Amps for I, and .23 meters for d, we get that the number of loops in the coil is '''14.'''<br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11134 2015-12-04T01:33:14Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A:''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> '''Part B:''' Because the field created by the coil equals the field created by the magnet, we can set their two fields equal to each other:<br /> &lt;math&gt; \frac{\mu _{0}}{4 \pi } \cdot \frac{2\mu }{r^{3}} = \frac{\mu _{0}}{4 \pi } \cdot \frac{2NI\pi R^{2}}{(z^{2}+R^{2})^{3/2}} &lt;/math&gt;<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=11068 2015-12-04T00:53:18Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> '''Example 1''': If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> '''Example 2:''' A bar magnet with magnetic dipole moment 0.58 lies on the negative x axis, as shown in the figure below. A compass is located at the origin. Magnetic north is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 3.5 cm, connected to batteries not shown. The distance from the center of the coil to the center of the compass is 9.6 cm. The distance from the center of the bar magnet to the center of the compass is 23.0 cm. A steady current of 0.96 A runs through the coil. Conventional current runs clockwise in the coil when viewed from the location of the compass. Despite the presence of the magnet and coil the compass still points north. <br /> <br /> '''(a)''' Which end of the bar magnet is closest to the compass? <br /> '''(b)''' How many turns of wire are in the coil?<br /> <br /> '''Part A''' Because the conventional current runs clockwise in the coil, you can use right hand rule to determine what direction the magnetic field is due to the coil. This tells us that the magnetic field due to the coil is in the -X direction. In order for the compass to stay still, the magnet needs to directly oppose the magnetic field of the coil, meaning its magnetic field has to point in the +X direction, meaning the '''NORTH end''' would have to be nearest the compass (because the field flows out of the north end into the positive end). <br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10890 2015-12-03T22:19:15Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> Example 1: If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: above, below, to the left, to the right, and in a plane that is above the magnet?<br /> <br /> Well, we already know that the field of a bar magnet flows out of the north end and into the south end in a curling fashion. So, using the diagram above, it is easy to see that to the right of the magnet, the direction of the magnetic field points in the +X direction. At a position to the left of the magnet, the field is flowing back into the south end of the magnet, so the direction of the magnetic field at this location is ALSO in the +X direction.<br /> <br /> The field above and below the magnet is flowing from the right to the left at both locations, so the direction of the magnetic field above and below the magnet is in the -X direction. <br /> <br /> At a different plane (z doesn't = 0), there is no magnetic field, because we can assume that bar magnet acts as a 2-D dipole. <br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10882 2015-12-03T22:12:47Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> ----<br /> Example 1: If a bar magnet is located at the origin aligned with its North end aligned with the positive X-axis, what are the directions of the magnetic field at the following observation locations: (3, 0, 0), (-3, 0, 0), (0, 3, 0), (0, -3, 0), and (0, 0, 3)?<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10876 2015-12-03T22:09:05Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. Like a bar magnet, the Earth itself can also be represented by the computational model of a bar magnet, however, there are a few misconceptions about this. For starters, the magnetic North Pole is actually located at the geographic South Pole, and the magnetic South Pole is located at the geographic North Pole. Furthermore, the magnetic poles are off axis, meaning the are not directly at the top and bottom of the Earth. There is a difference of almost 1.5 degrees! <br /> It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10862 2015-12-03T21:59:17Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> ----<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. However, the 'poles' are merely just conventions. They do not represent anything, and are terms just assigned to each end, but it is true that the magnetic field will always flow out of the 'north end'. It is also interesting to note that just because this illustration depicts the bar magnet as having two distinct ends, if you were to cut the magnet down the middle, you would assume that you would end up with a south end and a north end. However, this is not the case. If a magnet were to be cut in half, it would polarize in such a way that you would end up with two bar magnets, not a single south pole and a single north pole. <br /> <br /> <br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10852 2015-12-03T21:53:09Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> <br /> As you can see in this picture, the magnetic field of a bar magnet takes the exact same form as an electric field of a dipole. The magnetic lines flow out of the north pole to the magnet, and into the south pole of the magnet, in a curling fashion. <br /> <br /> <br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10850 2015-12-03T21:51:12Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> [[File:VFPt cylindrical magnet thumb.svg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10848 2015-12-03T21:49:46Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> [[File:magnet.jpg|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=File:Magnetic_fields.gif&diff=10845 2015-12-03T21:48:07Z

<p>Jjoyce32: </p> <hr /> <div></div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10844 2015-12-03T21:47:29Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> [[File:magnetic_fields.gif|thumb|left|alt=The curly magnetic field of a bar magnet.|]]<br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10836 2015-12-03T21:41:33Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10833 2015-12-03T21:41:07Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> If the observation location is not on the axis of the bar magnet, and assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we conclude that: <br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10828 2015-12-03T21:39:40Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> {{math|''B'' {{=}} {{sfrac| &amp;mu; &lt;sub&gt;0&lt;/sub&gt;|4 &amp;pi;}}}}<br /> &lt;math&gt; B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}&lt;/math&gt;<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10816 2015-12-03T21:36:49Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> {{math|''B'' {{=}} {{sfrac| &amp;mu; &lt;sub&gt;0&lt;/sub&gt;|4 &amp;pi;}}}}<br /> B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10812 2015-12-03T21:35:55Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> {{math|''B'' {{=}} {{sfrac| &amp;mu; &lt;sub&gt;0&lt;/sub&gt;|4 &amp;pi;}}}}<br /> B = \frac{\mu _{0}}{4\pi }\cdot \frac{2\mu }{r^{3}}<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10749 2015-12-03T21:14:52Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> == The Main Idea == [edit]<br /> ----<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> ----<br /> Due to the fact that an observation location can either be on the axis of the magnet, or off the axis of the magnet, we have to different equations. For an observation location that is on the same axis as the magnet, assuming that the distance from the observation location to the magnet is much greater than the the separation distance of the two poles we find that: <br /> \sqrt{1-e^2}<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10728 2015-12-03T21:01:22Z

<p>Jjoyce32: </p> <hr /> <div>A bar magnet creates a magnetic field, just like many other devices (i.e. a current carrying wire), however, it has a different pattern of magnetic field which we will explore. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> The main idea for this topic is to explore how a bar magnet works and the effects that it has on its surroundings. <br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10710 2015-12-03T20:55:16Z

<p>Jjoyce32: </p> <hr /> <div>Path Independence<br /> (Redirected from Template)<br /> PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.<br /> <br /> Short Description of Topic<br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic Electric Field of Capacitor<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> [1]<br /> <br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page<br /> <br /> Category: Which Category did you place this in?</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=10703 2015-12-03T20:51:45Z

<p>Jjoyce32: </p> <hr /> <div>This page is a work in progress by John Joyce. <br /> <br /> Contents <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> <br /> The Main Idea [edit]<br /> The main idea for this topic is to explore the magnetic field created by a bar magnet, and what effects it may have on its surrounding environment. <br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> Internet resources on this topic<br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Bar_Magnet&diff=253 2015-10-27T02:34:15Z

<p>Jjoyce32: Created page with &quot;This page is a work in progress by John Joyce. Contents [hide] 1 The Main Idea 1.1 A Mathematical Model 1.2 A Computational Model 2 Examples 2.1 Simple 2.2 Middling 2.3 Dif...&quot;</p> <hr /> <div>This page is a work in progress by John Joyce. <br /> <br /> Contents [hide] <br /> 1 The Main Idea<br /> 1.1 A Mathematical Model<br /> 1.2 A Computational Model<br /> 2 Examples<br /> 2.1 Simple<br /> 2.2 Middling<br /> 2.3 Difficult<br /> 3 Connectedness<br /> 4 History<br /> 5 See also<br /> 5.1 Further reading<br /> 5.2 External links<br /> 6 References<br /> The Main Idea[edit]<br /> State, in your own words, the main idea for this topic<br /> <br /> A Mathematical Model[edit]<br /> What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br /> <br /> A Computational Model[edit]<br /> How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br /> <br /> Examples[edit]<br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> Simple[edit]<br /> Middling[edit]<br /> Difficult[edit]<br /> Connectedness[edit]<br /> How is this topic connected to something that you are interested in?<br /> How is it connected to your major?<br /> Is there an interesting industrial application?<br /> History[edit]<br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> See also[edit]<br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> Further reading[edit]<br /> Books, Articles or other print media on this topic<br /> <br /> External links[edit]<br /> Internet resources on this topic<br /> <br /> References[edit]<br /> This section contains the the references you used while writing this page</div>

Jjoyce32 http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=252 2015-10-27T02:32:34Z

<p>Jjoyce32: /* Fields */</p> <hr /> <div>__NOTOC__<br /> Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!<br /> <br /> Looking to make a contribution?<br /> #Pick a specific topic from intro physics<br /> #Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.<br /> #Copy and paste the default [[Template]] into your new page and start editing.<br /> <br /> Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.<br /> <br /> == Source Material ==<br /> All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).<br /> * A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]<br /> * A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]<br /> * The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]<br /> * An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]<br /> * Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]<br /> * OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]<br /> * The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]<br /> * A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]<br /> <br /> == Organizing Catagories ==<br /> These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ===Interactions===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Fundamental Interactions]]<br /> <br /> *[[System &amp; Surroundings]] <br /> <br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Properties of Matter===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Mass]]<br /> *[[Charge]]<br /> *[[Spin]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Momentum===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * Vectors<br /> * Kinematics<br /> * Predicting Change in one dimension<br /> * Predicting Change in multiple dimensions<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ===Angular Momentum===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * The Moments of Inertia<br /> * Rotation<br /> * Torque<br /> * Predicting a Change in Rotation<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ===Energy===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *Predicting Change<br /> *[[Rest Mass Energy]]<br /> *[[Kinetic Energy]]<br /> *Potential Energy<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Fields===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[Electric Field]] of a<br /> ** [[Point Charge]]<br /> ** [[Electric Dipole]]<br /> ** [[Charged Rod]]<br /> ** [[Charged Loop]]<br /> ** [[Charged Spherical Shell]]<br /> *[[Electric Potential]] <br /> **[[Potential Difference in a Uniform Field]]<br /> *[[Magnetic Field]]<br /> **[[Direction of Magnetic Field]]<br /> **[[Bar Magnet]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Simple Circuits===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Components]]<br /> *Steady State<br /> *Non Steady State<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Maxwell's Equations===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Gauss's Flux Theorem]]<br /> **Electric Fields<br /> **Magnetic Fields<br /> *Faraday's Law <br /> *Ampere-Maxwell Law<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Radiation===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> == Resources ==<br /> * Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]<br /> * A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]<br /> * A page to keep track of all the physics [[Constants]]<br /> * An overview of [[VPython]]</div>

Jjoyce32