Introduction to Magnetic Force - Revision history

Lduffy8: /* See Also */

2019-07-25T18:42:20Z

Lduffy8: /* See Also */

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Lduffy8: /* Hard */

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Hard

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	===Hard===		===Hard===
			[http://physicsbook.gatech.edu/Magnetic_Force#Middling See this problem under the Magnetic Force section on the Physics 2 page]

	==Connectedness==		==Connectedness==

Lduffy8: /* History */

2019-07-25T18:34:42Z

History

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	==History==		==History==
			Initially, electricity and magnetism were thought to be separate forces. When Maxwell published his ''A Treatise on Electricity and Magnetism'', however, it was realized that the two forces were interrelated. Later, in 1820, a Danish physicist realized that the magnetic field from a circuit could be turned on and off if the circuit was turned on and off. This was when it was realized that magnetic fields radiate from all sides of a wire carrying an electric current, providing proof that electricity and magnetism were definitely interrelated.

			These findings kickstarted a period of intensive research into attempting to find a mathematical representation of the relationship between electricity and magnetism, and the result would be one of the defining accomplishments of the 19th century in physics.

	==See Also==		==See Also==

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2019-07-25T18:29:40Z

Connectedness

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	==Connectedness==		==Connectedness==
			The magnetic force contributes heavily to specific phenomenon in astrophysics. Specifically, neutron stars have large magnetic fields, causing electrons to be accelerated and emit a type of radiation known as synchrotron radiation. Indeed, there are certain types of neutron stars known as [https://en.wikipedia.org/wiki/Magnetar magnetars] that have unusually high magnetic field strengths that then power the emission of X-rays and gamma rays (the highest energy type of electromagnetic radiation). Furthermore, there are also strong magnetic fields around black holes.

			As a physics major, understanding how magnetic fields affect the motion of particles and their behavior is fundamental.

			The magnetic force is connected directly to MRI's (magnetic resonance imaging). Using MRI's, doctors can learn a great deal about the current condition of the human body, including tracking cancerous tumors and diagnosing different injuries and diseases.

	==History==		==History==
	==See Also==		==See Also==

Lduffy8: /* Middling */

2019-07-01T22:02:31Z

Middling

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	===Middling===		===Middling===
	[[File:IntroBimage.png\|300px\|thumb\|right\|A diagram depicting the problem for the middling section. Here, the magnetic field is going out of the page.]]		[[File:IntroBimage.png\|300px\|thumb\|right\|A diagram depicting the problem for the middling section. Here, the magnetic field is going out of the page.]]
	''Suppose you have a wire with a current <math>I=6</math> amps. This wire is sitting in a constant magnetic field of magnitude 1 T. This wire has length 6 cm. What is the magnitude and the direction of the force acting upon the wire~~, according to the diagram~~? The magnetic field is pointing out of the page.''		''Suppose you have a wire with a current <math>I=6</math> amps. This wire is sitting in a constant magnetic field of magnitude 1 T. This wire has length 6 cm. What is the magnitude and the direction of the force acting upon the wire? The magnetic field is pointing out of the page (reference the diagram at right).''

	The easiest first step would be to determine the direction of the magnetic force. By using the [http://physicsed.buffalostate.edu/SeatExpts/resource/rhr/rhr.htm right hand rule], we can determine that when the current length, which is going up, is crossed with a vector pointing out of the page, the resulting vector would point towards the right, in the so-called positive x-direction.		The easiest first step would be to determine the direction of the magnetic force. By using the [http://physicsed.buffalostate.edu/SeatExpts/resource/rhr/rhr.htm right hand rule], we can determine that when the current length, which is going up, is crossed with a vector pointing out of the page, the resulting vector would point towards the right, in the so-called positive x-direction.

Lduffy8: /* Middling */

2019-07-01T22:01:51Z

Middling

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	===Middling===		===Middling===
	[[File:IntroBimage.png\|300px\|thumb\|right\|A diagram depicting the problem for the middling section. Here, the magnetic field is going out of the page.]]		[[File:IntroBimage.png\|300px\|thumb\|right\|A diagram depicting the problem for the middling section. Here, the magnetic field is going out of the page.]]
	''Suppose you have a wire with a current ''I=6'' amps. This wire is sitting in a constant magnetic field of magnitude 1 T. This wire has length 6 cm. What is the magnitude and the direction of the force acting upon the wire, according to the diagram? The magnetic field is pointing out of the page.''		''Suppose you have a wire with a current <math>I=6</math> amps. This wire is sitting in a constant magnetic field of magnitude 1 T. This wire has length 6 cm. What is the magnitude and the direction of the force acting upon the wire, according to the diagram? The magnetic field is pointing out of the page.''

	The easiest first step would be to determine the direction of the magnetic force. By using the [http://physicsed.buffalostate.edu/SeatExpts/resource/rhr/rhr.htm right hand rule], we can determine that when the current length, which is going up, is crossed with a vector pointing out of the page, the resulting vector would point towards the right, in the so-called positive x-direction.		The easiest first step would be to determine the direction of the magnetic force. By using the [http://physicsed.buffalostate.edu/SeatExpts/resource/rhr/rhr.htm right hand rule], we can determine that when the current length, which is going up, is crossed with a vector pointing out of the page, the resulting vector would point towards the right, in the so-called positive x-direction.

Lduffy8: /* Middling */

2019-07-01T22:01:22Z

Middling

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	===Middling===		===Middling===
	[[File:IntroBimage.png\|~~200px~~\|thumb\|right\|A diagram depicting the problem for the middling section. Here, the magnetic field is going out of the page.]]		[[File:IntroBimage.png\|300px\|thumb\|right\|A diagram depicting the problem for the middling section. Here, the magnetic field is going out of the page.]]
	''Suppose you have a wire with a current ''I=6'' amps. This wire is sitting in a constant magnetic field of magnitude 1 T. This wire has length 6 cm. What is the magnitude and the direction of the force acting upon the wire, according to the diagram? The magnetic field is pointing out of the page.''		''Suppose you have a wire with a current ''I=6'' amps. This wire is sitting in a constant magnetic field of magnitude 1 T. This wire has length 6 cm. What is the magnitude and the direction of the force acting upon the wire, according to the diagram? The magnetic field is pointing out of the page.''

			The easiest first step would be to determine the direction of the magnetic force. By using the [http://physicsed.buffalostate.edu/SeatExpts/resource/rhr/rhr.htm right hand rule], we can determine that when the current length, which is going up, is crossed with a vector pointing out of the page, the resulting vector would point towards the right, in the so-called positive x-direction.

			Next, we can determine the magnitude of the resultant force via the following relation. Because <math>\theta{}</math> here is equal to 90 degrees, <math>sin(\theta{})</math> is equal simply to one.
			::*<math>F_B=IlBsin(\theta{})</math>
			::*<math>F_B=(6A)(0.06m)(1T)=0.36N</math>
			Finally, as stated before, we know that this is solely in the positive x-direction due to the right hand rule.

	===Hard===		===Hard===

Lduffy8: /* Middling */

2019-07-01T21:56:34Z

Middling

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	===Middling===		===Middling===
			[[File:IntroBimage.png\|200px\|thumb\|right\|A diagram depicting the problem for the middling section. Here, the magnetic field is going out of the page.]]
			''Suppose you have a wire with a current ''I=6'' amps. This wire is sitting in a constant magnetic field of magnitude 1 T. This wire has length 6 cm. What is the magnitude and the direction of the force acting upon the wire, according to the diagram? The magnetic field is pointing out of the page.''

	===Hard===		===Hard===

Lduffy8: /* Examples */

2019-07-01T21:49:11Z

Examples

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	===Simple===		===Simple===
	''Say you have a 1 C charge moving at a rate of 3 m/s. This velocity makes an angle of 60 degrees with respect to a magnetic field with strength 2 Tesla. What is the magnitude of the force the charge experiences?''		''Say you have a 1 C charge moving at a rate of 3 m/s. This velocity makes an angle of 60 degrees with respect to a magnetic field with strength 2 Tesla. What is the magnitude of the force the charge experiences?''
	The units are all ~~correct~~, and so the numbers can just be plugged in to the following equation:
			The units given in the problem statement are all proper SI units, and so the numbers can just be plugged in to the following equation:
	::<math> F_B=qvBsin(\theta{})</math>		::<math> F_B=qvBsin(\theta{})</math>
	::<math>F_B=(1 C)(3 m/s)(2 T)(sin(60))=5.196 N</math>		::<math>F_B=(1 C)(3 m/s)(2 T)(sin(60))=5.196 N</math>
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	===Middling===		===Middling===
	===Hard===		===Hard===

	==Connectedness==		==Connectedness==
	==History==		==History==
	==See Also==		==See Also==

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	::*[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html Hyperphysics magnetic force page]		::*[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html Hyperphysics magnetic force page]
	::*[https://en.wikipedia.org/wiki/Magnetic_resonance_imaging MRI wikipedia page; if you're curious on how they work]		::*[https://en.wikipedia.org/wiki/Magnetic_resonance_imaging MRI wikipedia page; if you're curious on how they work]
			::*[https://phys.org/news/2018-11-magnetic-fields-deep-space-wiggle.html A fun article on magnetic fields in space!]

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	==See Also==		==See Also==
			::*[https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/a/what-is-magnetic-force An introductory article from Khan Academy]
			::*[http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html Hyperphysics magnetic force page]
			::*[https://en.wikipedia.org/wiki/Magnetic_resonance_imaging MRI wikipedia page; if you're curious on how they work]