Physics Book - User contributions [en]

Magnetic Fields

2015-11-30T14:17:55Z

Lukeqin90: /* Connectedness */

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Why It Matters==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had an obsession for electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U. The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

*[[Magnetic Field]]
*[[Ampere-Maxwell Law]]

===Further reading===

*[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

*[http://hsfs2.ortn.edu/myschool/mperkins/09_magnetism/notes/09%20-%20magnetism%20-%20magnetic%20flux.pdf Intro to Magnetic Flux]
*[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/fluxmg.html Basics of Magnetic Flux]

==References==

* [http://www.maxwells-equations.com maxwells-equations.com] — An intuitive tutorial of Maxwell's equations.
* Mathematical aspects of Maxwell's equation are discussed on the [http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].

[[Category:Maxwell's Equations]]

Magnetic Fields

2015-11-30T14:16:22Z

Lukeqin90: /* Practice Problems */

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Connectedness==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had an obsession for electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U. The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

*[[Magnetic Field]]
*[[Ampere-Maxwell Law]]

===Further reading===

*[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

*[http://hsfs2.ortn.edu/myschool/mperkins/09_magnetism/notes/09%20-%20magnetism%20-%20magnetic%20flux.pdf Intro to Magnetic Flux]
*[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/fluxmg.html Basics of Magnetic Flux]

==References==

* [http://www.maxwells-equations.com maxwells-equations.com] — An intuitive tutorial of Maxwell's equations.
* Mathematical aspects of Maxwell's equation are discussed on the [http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].

[[Category:Maxwell's Equations]]

Magnetic Fields

2015-11-30T14:14:58Z

Lukeqin90: /* History */

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Connectedness==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had an obsession for electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U). The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

*[[Magnetic Field]]
*[[Ampere-Maxwell Law]]

===Further reading===

*[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

*[http://hsfs2.ortn.edu/myschool/mperkins/09_magnetism/notes/09%20-%20magnetism%20-%20magnetic%20flux.pdf Intro to Magnetic Flux]
*[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/fluxmg.html Basics of Magnetic Flux]

==References==

* [http://www.maxwells-equations.com maxwells-equations.com] — An intuitive tutorial of Maxwell's equations.
* Mathematical aspects of Maxwell's equation are discussed on the [http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].

[[Category:Maxwell's Equations]]

Magnetic Fields

2015-11-25T19:44:22Z

Lukeqin90: /* See also */

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Connectedness==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had been a fan of electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U). The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

*[[Magnetic Field]]
*[[Ampere-Maxwell Law]]

===Further reading===

*[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

*[http://hsfs2.ortn.edu/myschool/mperkins/09_magnetism/notes/09%20-%20magnetism%20-%20magnetic%20flux.pdf Intro to Magnetic Flux]
*[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/fluxmg.html Basics of Magnetic Flux]

==References==

* [http://www.maxwells-equations.com maxwells-equations.com] — An intuitive tutorial of Maxwell's equations.
* Mathematical aspects of Maxwell's equation are discussed on the [http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].

[[Category:Maxwell's Equations]]

Magnetic Fields

2015-11-25T19:44:09Z

Lukeqin90: /* External links */

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Connectedness==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had been a fan of electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U). The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

[[Magnetic Field]]
[[Ampere-Maxwell Law]]

===Further reading===

[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

*[http://hsfs2.ortn.edu/myschool/mperkins/09_magnetism/notes/09%20-%20magnetism%20-%20magnetic%20flux.pdf Intro to Magnetic Flux]
*[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/fluxmg.html Basics of Magnetic Flux]

==References==

* [http://www.maxwells-equations.com maxwells-equations.com] — An intuitive tutorial of Maxwell's equations.
* Mathematical aspects of Maxwell's equation are discussed on the [http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].

[[Category:Maxwell's Equations]]

Magnetic Fields

2015-11-25T19:43:53Z

Lukeqin90: /* External links */

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Connectedness==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had been a fan of electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U). The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

[[Magnetic Field]]
[[Ampere-Maxwell Law]]

===Further reading===

[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

[http://hsfs2.ortn.edu/myschool/mperkins/09_magnetism/notes/09%20-%20magnetism%20-%20magnetic%20flux.pdf Intro to Magnetic Flux]

[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/fluxmg.html Basics of Magnetic Flux]

==References==

* [http://www.maxwells-equations.com maxwells-equations.com] — An intuitive tutorial of Maxwell's equations.
* Mathematical aspects of Maxwell's equation are discussed on the [http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].

[[Category:Maxwell's Equations]]

Magnetic Fields

2015-11-25T19:43:09Z

Lukeqin90: /* References */

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Connectedness==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had been a fan of electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U). The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

[[Magnetic Field]]
[[Ampere-Maxwell Law]]

===Further reading===

[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

[http://hsfs2.ortn.edu/myschool/mperkins/09_magnetism/notes/09%20-%20magnetism%20-%20magnetic%20flux.pdf Intro to Magnetic Flux]
[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/fluxmg.html Basics of Magnetic Flux]

==References==

* [http://www.maxwells-equations.com maxwells-equations.com] — An intuitive tutorial of Maxwell's equations.
* Mathematical aspects of Maxwell's equation are discussed on the [http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].

[[Category:Maxwell's Equations]]

Magnetic Fields

2015-11-25T19:42:58Z

Lukeqin90:

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Connectedness==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had been a fan of electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U). The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

[[Magnetic Field]]
[[Ampere-Maxwell Law]]

===Further reading===

[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

[http://hsfs2.ortn.edu/myschool/mperkins/09_magnetism/notes/09%20-%20magnetism%20-%20magnetic%20flux.pdf Intro to Magnetic Flux]
[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/fluxmg.html Basics of Magnetic Flux]

==References==

* {{springer|title=Maxwell equations|id=p/m063140}}
* [http://www.maxwells-equations.com maxwells-equations.com] — An intuitive tutorial of Maxwell's equations.
* Mathematical aspects of Maxwell's equation are discussed on the [http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].

[[Category:Maxwell's Equations]]

Magnetic Fields

2015-11-25T19:30:56Z

Lukeqin90:

This page has been claimed by Tyrone (Luke) Qin.

For the practice problems below, consult your professor for the solution.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Connectedness==
Magnetic flux is interesting because it's always zero through a closed surface because magnetic fields come from dipoles not monopoles where a particle just produces a one-sided magnetic field going in one direction, unlike point charges that generate an electric field going in one direction from every side of the particle. As you read further into this wiki book, you'll find out that the most important factor concerning the production of electricity is magnetic flux. The change of magnetic flux is what creates an electric motor force (voltage) and causes current to flow. The greater the magnetic flux and the faster it changes across a wire or a coil, the more influential it will be in determining the output.

==History==
Near the end of his career, Michael Faraday proposed that electromagnetic forces can be applied to the empty space around a conductor. This idea was rejected by his fellow scientists, and Faraday did not live to see the day when is proposition was eventually accepted by the scientific community. Faraday's concept of lines of flux generated from charged bodies and magnets provided a way to display electric and magnetic fields in a new way; that conceptual model was crucial for the successful development of 19th century technology.

Mathematician, James Maxwell had been a fan of electricity and magnetism since Faraday's lines of force was read to the Cambridge Philosophical Society in 1855. The paper presented a simplified model of Faraday's ideas and how electricity and magnetism were related. Maxwell took all of that along with what he already knew and developed a linked set of differential equations with 20 equations in 20 variables which will eventually be concatenated into the four equations known as Maxwell's Equations one of which describes magnetic flux as written in the equation displayed above.

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable?

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U). The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

== See also ==

[[Magnetic Field]]
[[Ampere-Maxwell Law]]

===Further reading===

[http://www.nature.com/nnano/journal/v9/n5/pdf/nnano.2014.52.pdf Observation of the magnetic ﬂux and threedimensional structure of skyrmion lattices by electron holography]

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Magnetic Fields

2015-11-25T18:52:14Z

Lukeqin90:

Main Page

2015-11-25T18:51:17Z

Lukeqin90: /* Maxwell's Equations */

__NOTOC__
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!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

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.

== Source Material ==
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).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* 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]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Categories ==
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.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Kinds of Matter]]
*[[Detecting Interactions]]
*[[Fundamental Interactions]]
*[[System & Surroundings]]
*[[Newton's First Law of Motion]]
*[[Newton's Second Law of Motion]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Theory===
<div class="mw-collapsible-content">
*[[Einstein's Theory of Special Relativity]]
*[[Quantum Theory]]
*[[General Relativity]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Notable Scientists===
<div class="mw-collapsible-content">
*[[Albert Einstein]]
*[[Ernest Rutherford]]
*[[Joseph Henry]]
*[[Michael Faraday]]
*[[James Maxwell]]
*[[Robert Hooke]]
*[[Marie Curie]]
*[[Carl Friedrich Gauss]]
*[[Nikola Tesla]]
*[[Andre Marie Ampere]]
*[[Sir Isaac Newton]]
*[[J. Robert Oppenheimer]]
*[[Oliver Heaviside]]
*[[Rosalind Franklin]]
*[[Erwin Schrödinger]]
*[[Enrico Fermi]]
*[[Robert J. Van de Graaff]]
*[[Charles de Coulomb]]
*[[Hans Christian Ørsted]]
*[[Philo Farnsworth]]
*[[Niels Bohr]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Velocity]]
*[[Density]]
*[[Charge]]
*[[Spin]]
*[[SI Units]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Contact Interactions===
<div class="mw-collapsible-content">
* [[Young's Modulus]]
* [[Friction]]
* [[Tension]]
* [[Hooke's Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* [[Vectors]]
* [[Kinematics]]
* [[Predicting Change in one dimension]]
* [[Predicting Change in multiple dimensions]]
* [[Momentum Principle]]
* [[Curving Motion]]
* [[Multi-particle Analysis of Momentum]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Angular Momentum===
<div class="mw-collapsible-content">
* [[The Moments of Inertia]]
* [[Rotation]]
* [[Torque]]
* [[Right Hand Rule]]
* [[Angular Velocity]]
* [[Predicting a Change in Rotation]]
* [[Conservation of Angular Momentum]]
*[[Total Angular Momentum]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Energy===
<div class="mw-collapsible-content">
*[[Predicting Change]]
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*[[Potential Energy]]
*[[Work]]
*[[Thermal Energy]]
*[[Conservation of Energy]]
*[[Electric Potential]]
*[[Energy Transfer due to a Temperature Difference]]
*[[Gravitational Potential Energy]]
*[[Point Particle Systems]]
*[[Real Systems]]
*[[Spring Potential Energy]]
*[[Internal Energy]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Collisions===
<div class="mw-collapsible-content">
*[[Collisions]]
*[[Maximally Inelastic Collision]]
*[[Elastic Collisions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Capacitor]]
** [[Charged Rod]]
** [[Charged Ring]]
** [[Charged Disk]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
**[[Potential Difference of point charge in a non-Uniform Field]]
**[[Sign of Potential Difference]]
*[[Electric Force]]
*[[Polarization]]
*[[Magnetic Field]]
**[[Right-Hand Rule]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
**[[Magnetic Force]]
**[[Hall Effect]]
**[[Lorentz Force]]
**[[Biot-Savart Law]]
**[[Integration Techniques for Magnetic Field]]
**[[Sparks in Air]]
**[[Motional Emf]]
**[[Detecting a Magnetic Field]]
**[[Moving Point Charge]]
**[[Non-Coulomb Electric Field]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*[[Steady State]]
*[[Non Steady State]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Power in a circuit]]
*[[Ammeters,Voltmeters,Ohmmeters]]
*[[Current]]
*[[Ohm's Law]]
*[[RC]]
*[[Circular Loop of Wire]]
*[[RL Circuit]]
*[[LC Circuit]]
*[[Surface Charge Distributions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**[[Electric Fields]]
**[[Magnetic Fields]]
*[[Faraday's Law]]
**[[Inductance]]
**[[Lenz's Law]]
***[[Lenz Effect and the Jumping Ring]]
*[[Ampere-Maxwell Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
*[[Producing a Radiative Electric Field]]
*[[Sinusoidal Electromagnetic Radiaton]]
*[[Lenses]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Sound===
<div class="mw-collapsible-content">
*[[Doppler Effect]]
</div>
</div>
*[[blahb]]
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]

Magnetic Flux

2015-11-25T18:50:46Z

Lukeqin90: Created page with "This page has been claimed by Tyrone (Luke) Qin. Information is in progress. ==The Main Idea== Recall that according to Gauss' law, the electric flux through any closed surfa..."

This page has been claimed by Tyrone (Luke) Qin. Information is in progress.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and its center is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk in terms of the given variable? (Consult with your professor for the solution).

2) Referring back to the previous problem, the disk is now tilted so that the angle between the yz plane and the surface is 30 degrees. Find the new magnetic flux in terms of the given variables.

3) A square with side length T is directly facing the xy plane 3 meters away from a current carrying 1 meter wire (from a portion of a nearby circuit powered by a battery with an emf of U). The wire is aligned with the y axis. The magnetic flux going through the square is G. Find the resistance of the wire.

Main Page

2015-11-25T18:50:33Z

Lukeqin90: /* Maxwell's Equations */

__NOTOC__
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!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

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.

== Source Material ==
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).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* 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]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Categories ==
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.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Kinds of Matter]]
*[[Detecting Interactions]]
*[[Fundamental Interactions]]
*[[System & Surroundings]]
*[[Newton's First Law of Motion]]
*[[Newton's Second Law of Motion]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Theory===
<div class="mw-collapsible-content">
*[[Einstein's Theory of Special Relativity]]
*[[Quantum Theory]]
*[[General Relativity]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Notable Scientists===
<div class="mw-collapsible-content">
*[[Albert Einstein]]
*[[Ernest Rutherford]]
*[[Joseph Henry]]
*[[Michael Faraday]]
*[[James Maxwell]]
*[[Robert Hooke]]
*[[Marie Curie]]
*[[Carl Friedrich Gauss]]
*[[Nikola Tesla]]
*[[Andre Marie Ampere]]
*[[Sir Isaac Newton]]
*[[J. Robert Oppenheimer]]
*[[Oliver Heaviside]]
*[[Rosalind Franklin]]
*[[Erwin Schrödinger]]
*[[Enrico Fermi]]
*[[Robert J. Van de Graaff]]
*[[Charles de Coulomb]]
*[[Hans Christian Ørsted]]
*[[Philo Farnsworth]]
*[[Niels Bohr]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Velocity]]
*[[Density]]
*[[Charge]]
*[[Spin]]
*[[SI Units]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Contact Interactions===
<div class="mw-collapsible-content">
* [[Young's Modulus]]
* [[Friction]]
* [[Tension]]
* [[Hooke's Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* [[Vectors]]
* [[Kinematics]]
* [[Predicting Change in one dimension]]
* [[Predicting Change in multiple dimensions]]
* [[Momentum Principle]]
* [[Curving Motion]]
* [[Multi-particle Analysis of Momentum]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Angular Momentum===
<div class="mw-collapsible-content">
* [[The Moments of Inertia]]
* [[Rotation]]
* [[Torque]]
* [[Right Hand Rule]]
* [[Angular Velocity]]
* [[Predicting a Change in Rotation]]
* [[Conservation of Angular Momentum]]
*[[Total Angular Momentum]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Energy===
<div class="mw-collapsible-content">
*[[Predicting Change]]
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*[[Potential Energy]]
*[[Work]]
*[[Thermal Energy]]
*[[Conservation of Energy]]
*[[Electric Potential]]
*[[Energy Transfer due to a Temperature Difference]]
*[[Gravitational Potential Energy]]
*[[Point Particle Systems]]
*[[Real Systems]]
*[[Spring Potential Energy]]
*[[Internal Energy]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Collisions===
<div class="mw-collapsible-content">
*[[Collisions]]
*[[Maximally Inelastic Collision]]
*[[Elastic Collisions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Capacitor]]
** [[Charged Rod]]
** [[Charged Ring]]
** [[Charged Disk]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
**[[Potential Difference of point charge in a non-Uniform Field]]
**[[Sign of Potential Difference]]
*[[Electric Force]]
*[[Polarization]]
*[[Magnetic Field]]
**[[Right-Hand Rule]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
**[[Magnetic Force]]
**[[Hall Effect]]
**[[Lorentz Force]]
**[[Biot-Savart Law]]
**[[Integration Techniques for Magnetic Field]]
**[[Sparks in Air]]
**[[Motional Emf]]
**[[Detecting a Magnetic Field]]
**[[Moving Point Charge]]
**[[Non-Coulomb Electric Field]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*[[Steady State]]
*[[Non Steady State]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Power in a circuit]]
*[[Ammeters,Voltmeters,Ohmmeters]]
*[[Current]]
*[[Ohm's Law]]
*[[RC]]
*[[Circular Loop of Wire]]
*[[RL Circuit]]
*[[LC Circuit]]
*[[Surface Charge Distributions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**[[Electric Fields]]
**[[Magnetic Flux]]
*[[Faraday's Law]]
**[[Inductance]]
**[[Lenz's Law]]
***[[Lenz Effect and the Jumping Ring]]
*[[Ampere-Maxwell Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
*[[Producing a Radiative Electric Field]]
*[[Sinusoidal Electromagnetic Radiaton]]
*[[Lenses]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Sound===
<div class="mw-collapsible-content">
*[[Doppler Effect]]
</div>
</div>
*[[blahb]]
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]

Magnetic Fields

2015-11-25T18:49:57Z

Lukeqin90: /* Practice Problems */

Magnetic Fields

2015-11-25T18:37:04Z

Lukeqin90: /* Practice Problems */

This page has been claimed by Tyrone (Luke) Qin. Information is in progress.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole D located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk?

Magnetic Fields

2015-11-25T18:36:35Z

Lukeqin90: /* Practice Problems */

This page has been claimed by Tyrone (Luke) Qin. Information is in progress.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Practice Problems==

1) <math> There_is a small bar magnet with a magnetic dipole \mu located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk? </math>

Magnetic Fields

2015-11-25T18:36:22Z

Lukeqin90: /* Practice Problems */

This page has been claimed by Tyrone (Luke) Qin. Information is in progress.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Practice Problems==

1) <math> There is a small bar magnet with a magnetic dipole \mu located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of R facing perpendicular to the yz plane and is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk? </math>

Magnetic Fields

2015-11-25T18:35:29Z

Lukeqin90: /* Practice Problems */

This page has been claimed by Tyrone (Luke) Qin. Information is in progress.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole <math>\mu</math> located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of <math>R</math> facing perpendicular to the yz plane and is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk?

Magnetic Fields

2015-11-25T18:34:58Z

Lukeqin90:

This page has been claimed by Tyrone (Luke) Qin. Information is in progress.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.

[[File:MagFlux.gif]]

==Practice Problems==

1) There is a small bar magnet with a magnetic dipole <math>\Mu</math> located at the origin (0,0,0). It's aligned with the y-axis. There is a circular disk with a radius of <math>R</math> facing perpendicular to the yz plane and is 4 meters away on the +x axis from the bar magnet. What is the magnetic flux going through the disk?

Main Page

2015-11-25T18:34:07Z

Lukeqin90: /* Maxwell's Equations */

__NOTOC__
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!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

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.

== Source Material ==
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).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* 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]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Categories ==
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.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Kinds of Matter]]
*[[Detecting Interactions]]
*[[Fundamental Interactions]]
*[[System & Surroundings]]
*[[Newton's First Law of Motion]]
*[[Newton's Second Law of Motion]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Theory===
<div class="mw-collapsible-content">
*[[Einstein's Theory of Special Relativity]]
*[[Quantum Theory]]
*[[General Relativity]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Notable Scientists===
<div class="mw-collapsible-content">
*[[Albert Einstein]]
*[[Ernest Rutherford]]
*[[Joseph Henry]]
*[[Michael Faraday]]
*[[James Maxwell]]
*[[Robert Hooke]]
*[[Marie Curie]]
*[[Carl Friedrich Gauss]]
*[[Nikola Tesla]]
*[[Andre Marie Ampere]]
*[[Sir Isaac Newton]]
*[[J. Robert Oppenheimer]]
*[[Oliver Heaviside]]
*[[Rosalind Franklin]]
*[[Erwin Schrödinger]]
*[[Enrico Fermi]]
*[[Robert J. Van de Graaff]]
*[[Charles de Coulomb]]
*[[Hans Christian Ørsted]]
*[[Philo Farnsworth]]
*[[Niels Bohr]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Velocity]]
*[[Density]]
*[[Charge]]
*[[Spin]]
*[[SI Units]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Contact Interactions===
<div class="mw-collapsible-content">
* [[Young's Modulus]]
* [[Friction]]
* [[Tension]]
* [[Hooke's Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* [[Vectors]]
* [[Kinematics]]
* [[Predicting Change in one dimension]]
* [[Predicting Change in multiple dimensions]]
* [[Momentum Principle]]
* [[Curving Motion]]
* [[Multi-particle Analysis of Momentum]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Angular Momentum===
<div class="mw-collapsible-content">
* [[The Moments of Inertia]]
* [[Rotation]]
* [[Torque]]
* [[Right Hand Rule]]
* [[Angular Velocity]]
* [[Predicting a Change in Rotation]]
* [[Conservation of Angular Momentum]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Energy===
<div class="mw-collapsible-content">
*[[Predicting Change]]
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*[[Potential Energy]]
*[[Work]]
*[[Thermal Energy]]
*[[Conservation of Energy]]
*[[Electric Potential]]
*[[Energy Transfer due to a Temperature Difference]]
*[[Gravitational Potential Energy]]
*[[Point Particle Systems]]
*[[Real Systems]]
*[[Spring Potential Energy]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Collisions===
<div class="mw-collapsible-content">
*[[Collisions]]
*[[Maximally Inelastic Collision]]
*[[Elastic Collisions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Capacitor]]
** [[Charged Rod]]
** [[Charged Ring]]
** [[Charged Disk]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
**[[Potential Difference of point charge in a non-Uniform Field]]
**[[Sign of Potential Difference]]
*[[Electric Force]]
*[[Polarization]]
*[[Magnetic Field]]
**[[Right-Hand Rule]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
**[[Magnetic Force]]
**[[Hall Effect]]
**[[Lorentz Force]]
**[[Biot-Savart Law]]
**[[Integration Techniques for Magnetic Field]]
**[[Sparks in Air]]
**[[Motional Emf]]
**[[Detecting a Magnetic Field]]
**[[Moving Point Charge]]
**[[Non-Coulomb Electric Field]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*[[Steady State]]
*[[Non Steady State]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Power in a circuit]]
*[[Ammeters,Voltmeters,Ohmmeters]]
*[[Current]]
*[[Ohm's Law]]
*[[RC]]
*[[Circular Loop of Wire]]
*[[RL Circuit]]
*[[LC Circuit]]
*[[Surface Charge Distributions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**[[Electric Fields]]
**[[Magnetic Fields]]
*[[Faraday's Law]]
**[[Inductance]]
**[[Lenz's Law]]
***[[Lenz Effect and the Jumping Ring]]
*[[Ampere-Maxwell Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
*[[Producing a Radiative Electric Field]]
*[[Sinusoidal Electromagnetic Radiaton]]
*[[Lenses]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Sound===
<div class="mw-collapsible-content">
*[[Doppler Effect]]
</div>
</div>
*[[blahb]]
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]

Main Page

2015-11-25T18:33:44Z

Lukeqin90: /* Maxwell's Equations */

__NOTOC__
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!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

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.

== Source Material ==
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).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* 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]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Categories ==
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.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Kinds of Matter]]
*[[Detecting Interactions]]
*[[Fundamental Interactions]]
*[[System & Surroundings]]
*[[Newton's First Law of Motion]]
*[[Newton's Second Law of Motion]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Theory===
<div class="mw-collapsible-content">
*[[Einstein's Theory of Special Relativity]]
*[[Quantum Theory]]
*[[General Relativity]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Notable Scientists===
<div class="mw-collapsible-content">
*[[Albert Einstein]]
*[[Ernest Rutherford]]
*[[Joseph Henry]]
*[[Michael Faraday]]
*[[James Maxwell]]
*[[Robert Hooke]]
*[[Marie Curie]]
*[[Carl Friedrich Gauss]]
*[[Nikola Tesla]]
*[[Andre Marie Ampere]]
*[[Sir Isaac Newton]]
*[[J. Robert Oppenheimer]]
*[[Oliver Heaviside]]
*[[Rosalind Franklin]]
*[[Erwin Schrödinger]]
*[[Enrico Fermi]]
*[[Robert J. Van de Graaff]]
*[[Charles de Coulomb]]
*[[Hans Christian Ørsted]]
*[[Philo Farnsworth]]
*[[Niels Bohr]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Velocity]]
*[[Density]]
*[[Charge]]
*[[Spin]]
*[[SI Units]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Contact Interactions===
<div class="mw-collapsible-content">
* [[Young's Modulus]]
* [[Friction]]
* [[Tension]]
* [[Hooke's Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* [[Vectors]]
* [[Kinematics]]
* [[Predicting Change in one dimension]]
* [[Predicting Change in multiple dimensions]]
* [[Momentum Principle]]
* [[Curving Motion]]
* [[Multi-particle Analysis of Momentum]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Angular Momentum===
<div class="mw-collapsible-content">
* [[The Moments of Inertia]]
* [[Rotation]]
* [[Torque]]
* [[Right Hand Rule]]
* [[Angular Velocity]]
* [[Predicting a Change in Rotation]]
* [[Conservation of Angular Momentum]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Energy===
<div class="mw-collapsible-content">
*[[Predicting Change]]
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*[[Potential Energy]]
*[[Work]]
*[[Thermal Energy]]
*[[Conservation of Energy]]
*[[Electric Potential]]
*[[Energy Transfer due to a Temperature Difference]]
*[[Gravitational Potential Energy]]
*[[Point Particle Systems]]
*[[Real Systems]]
*[[Spring Potential Energy]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Collisions===
<div class="mw-collapsible-content">
*[[Collisions]]
*[[Maximally Inelastic Collision]]
*[[Elastic Collisions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Capacitor]]
** [[Charged Rod]]
** [[Charged Ring]]
** [[Charged Disk]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
**[[Potential Difference of point charge in a non-Uniform Field]]
**[[Sign of Potential Difference]]
*[[Electric Force]]
*[[Polarization]]
*[[Magnetic Field]]
**[[Right-Hand Rule]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
**[[Magnetic Force]]
**[[Hall Effect]]
**[[Lorentz Force]]
**[[Biot-Savart Law]]
**[[Integration Techniques for Magnetic Field]]
**[[Sparks in Air]]
**[[Motional Emf]]
**[[Detecting a Magnetic Field]]
**[[Moving Point Charge]]
**[[Non-Coulomb Electric Field]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*[[Steady State]]
*[[Non Steady State]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Power in a circuit]]
*[[Ammeters,Voltmeters,Ohmmeters]]
*[[Current]]
*[[Ohm's Law]]
*[[RC]]
*[[Circular Loop of Wire]]
*[[RL Circuit]]
*[[LC Circuit]]
*[[Surface Charge Distributions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**[[Electric Flux]]
**[[Magnetic Flux]]
*[[Faraday's Law]]
**[[Inductance]]
**[[Lenz's Law]]
***[[Lenz Effect and the Jumping Ring]]
*[[Ampere-Maxwell Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
*[[Producing a Radiative Electric Field]]
*[[Sinusoidal Electromagnetic Radiaton]]
*[[Lenses]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Sound===
<div class="mw-collapsible-content">
*[[Doppler Effect]]
</div>
</div>
*[[blahb]]
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]

Magnetic Fields

2015-11-25T18:20:50Z

Lukeqin90:

Magnetic Fields

2015-11-25T18:20:37Z

Lukeqin90: /* Further Description */

File:MagFlux.gif

2015-11-25T18:20:19Z

Lukeqin90:

Magnetic Fields

2015-11-25T18:11:57Z

Lukeqin90: /* Further Description */

This page has been claimed by Tyrone (Luke) Qin. Information is in progress.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.
[[http://img.sparknotes.com/content/testprep/bookimgs/sat2/physics/0007/flux.gif]]

[[http://img.sparknotes.com/content/testprep/bookimgs/sat2/physics/0007/flux.gif|thumb|left|alt=A cartoon centipede reads books and types on a laptop.|The Wikipede edits ''[[Myriapoda]]''.]]

==Practice Problems==

Magnetic Fields

2015-11-25T17:14:23Z

Lukeqin90: /* Further Description */

This page has been claimed by Tyrone (Luke) Qin. Information is in progress.

==The Main Idea==
Recall that according to Gauss' law, the electric flux through any closed surface is directly proportional to the net electric charge enclosed by that surface. Given the very direct analogy which exists between an electric charge and a magnetic 'monopoles', we would expect to be able to formulate a second law which states that the magnetic flux through any closed surface is directly proportional to the number of magnetic monopoles enclosed by that surface. But the problem is that magnetic monopoles don't exist. It follows that the equivalent of Gauss' law for magnetic fields reduces to:

<math>\Phi_B = \oint B \cdot dA = 0</math>

Realistically, the magnetic flux though any CLOSED surface is zero. The magnetic flux through an area will be its own individual value. This rule is useful when solving for a an unknown magnetic field that's coming from a side of a surface when the other fields from the other sides are known.

==Further Description==

Gauss's Law for magnetism tells us that magnetic monopoles do not exist. If magnetic monopoles existed, they would be sources and sinks of the magnetic field, and therefore the right-hand side could differ from zero. Gauss's Law for magnetism is one of the four Maxwell's equations, which form the foundation for the entire theory of classical electrodynamics.

The magnitude of the magnetic flux depends on the strength of the magnetic field, the size of the surface area, and the angle between the direction in which the surface area points and the direction of the magnetic field.
[[File:http://img.sparknotes.com/content/testprep/bookimgs/sat2/physics/0007/flux.gif]]

[[File:http://img.sparknotes.com/content/testprep/bookimgs/sat2/physics/0007/flux.gif|thumb|left|alt=A cartoon centipede reads books and types on a laptop.|The Wikipede edits ''[[Myriapoda]]''.]]

==Practice Problems==

Magnetic Fields

2015-11-25T17:12:50Z

Lukeqin90: /* Further Description */

Magnetic Fields

2015-11-25T17:11:42Z