Applying Magnetic Force to Currents - Revision history

Snotberg123 at 17:31, 7 December 2015

2015-12-07T17:31:46Z

← Older revision		Revision as of 13:31, 7 December 2015
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	The following diagram will be referenced and modeled:		The following diagram will be referenced and modeled:

	[[File:Physics22.jpg]]		[[File:Physics22.jpg\|950px\|thumb\|left\|alt text]]

	If it is first assumed that two wires have parallel currents running in the same direction. It can be observed that, due to the right hand rule, both wires cause a magnetic force toward each other. The bottom wire, I_2, causes a magnetic field, B_2, that exerts a downward force on the upper wire, I_1, and vice-versa.		If it is first assumed that two wires have parallel currents running in the same direction. It can be observed that, due to the right hand rule, both wires cause a magnetic force toward each other. The bottom wire, I_2, causes a magnetic field, B_2, that exerts a downward force on the upper wire, I_1, and vice-versa.

Snotberg123 at 17:29, 7 December 2015

2015-12-07T17:29:45Z

← Older revision		Revision as of 13:29, 7 December 2015
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	The following diagram will be referenced and modeled:		The following diagram will be referenced and modeled:

	[[File:Physics22.jpg~~\|200px\|thumb\|left\|alt text~~]]		[[File:Physics22.jpg]]

	If it is first assumed that two wires have parallel currents running in the same direction. It can be observed that, due to the right hand rule, both wires cause a magnetic force toward each other. The bottom wire, I_2, causes a magnetic field, B_2, that exerts a downward force on the upper wire, I_1, and vice-versa.		If it is first assumed that two wires have parallel currents running in the same direction. It can be observed that, due to the right hand rule, both wires cause a magnetic force toward each other. The bottom wire, I_2, causes a magnetic field, B_2, that exerts a downward force on the upper wire, I_1, and vice-versa.

Snotberg123 at 17:28, 7 December 2015

2015-12-07T17:28:25Z

← Older revision		Revision as of 13:28, 7 December 2015
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	Magnetic Force		Magnetic Force

	Magnetic Field of a Long-Straight Wire		Magnetic Field of a Long-Straight Wire

Snotberg123 at 17:27, 7 December 2015

2015-12-07T17:27:45Z

← Older revision		Revision as of 13:27, 7 December 2015
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	In deriving the exact equation relating magnetic force to current, current I can be related to moving charge q as it travels through a wire. By this logic, current can be equated to the amount of moving charge in a length of wire divided by the time the charge travels. This can be denoted by the following equations:		In deriving the exact equation relating magnetic force to current, current I can be related to moving charge q as it travels through a wire. By this logic, current can be equated to the amount of moving charge in a length of wire divided by the time the charge travels. This can be denoted by the following equations:

	<math> {q} = {Idt} = \frac {I\vec{l}} \vec{v} </math>		<math>{q = Idt = \frac{I\vec{l}}{\vec{v}}}</math>

	<math>{ {qv} = {Il} }</math>		<math>{ {qv} = {Il} }</math>

Snotberg123 at 17:25, 7 December 2015

2015-12-07T17:25:10Z

← Older revision		Revision as of 13:25, 7 December 2015
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	<math>{\vec{F} = I_1\vec{l}\times\vec{B_2}}</math>		<math>{\vec{F} = I_1\vec{l}\times\vec{B_2}}</math>

	<math>{\vec{F} = {I_1}{\vec{l}}\frac{\mu_0I}{2d\pi}} </math>		<math>{\vec{F} = {I_1}{\vec{l}}\frac{\mu_0I}{2d\pi}} </math>

Snotberg123 at 20:40, 6 December 2015

2015-12-06T20:40:00Z

← Older revision		Revision as of 16:40, 6 December 2015
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	We can assume that the wire will not experience any force if the current, or moving charge, is parallel to the magnetic field; however, if the magnetic field were perpendicular, or any orientation that were not parallel, a force on the wire or current may be expected. It is important to note that any current within the magnetic field may experience a force, but current outside the field may not.		We can assume that the wire will not experience any force if the current, or moving charge, is parallel to the magnetic field; however, if the magnetic field were perpendicular, or any orientation that were not parallel, a force on the wire or current may be expected. It is important to note that any current within the magnetic field may experience a force, but current outside the field may not.

	[[File:~~physics21~~.~~jpeg~~]]		[[File:Physics21.jpg\|200px\|thumb\|left\|alt text]]

	In deriving the exact equation relating magnetic force to current, current I can be related to moving charge q as it travels through a wire. By this logic, current can be equated to the amount of moving charge in a length of wire divided by the time the charge travels. This can be denoted by the following equations:		In deriving the exact equation relating magnetic force to current, current I can be related to moving charge q as it travels through a wire. By this logic, current can be equated to the amount of moving charge in a length of wire divided by the time the charge travels. This can be denoted by the following equations:
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	The following diagram will be referenced and modeled:		The following diagram will be referenced and modeled:
	[[File:~~physics22~~.jpg]]
			[[File:Physics22.jpg\|200px\|thumb\|left\|alt text]]

	If it is first assumed that two wires have parallel currents running in the same direction. It can be observed that, due to the right hand rule, both wires cause a magnetic force toward each other. The bottom wire, I_2, causes a magnetic field, B_2, that exerts a downward force on the upper wire, I_1, and vice-versa.		If it is first assumed that two wires have parallel currents running in the same direction. It can be observed that, due to the right hand rule, both wires cause a magnetic force toward each other. The bottom wire, I_2, causes a magnetic field, B_2, that exerts a downward force on the upper wire, I_1, and vice-versa.

Snotberg123 at 20:36, 6 December 2015

2015-12-06T20:36:50Z

← Older revision		Revision as of 16:36, 6 December 2015
Line 19:		Line 19:
	In deriving the exact equation relating magnetic force to current, current I can be related to moving charge q as it travels through a wire. By this logic, current can be equated to the amount of moving charge in a length of wire divided by the time the charge travels. This can be denoted by the following equations:		In deriving the exact equation relating magnetic force to current, current I can be related to moving charge q as it travels through a wire. By this logic, current can be equated to the amount of moving charge in a length of wire divided by the time the charge travels. This can be denoted by the following equations:

	<math>{q = {~~I} {dt~~} = \frac {I\vec{l}} \vec{v} }</math>		<math> {q} = {Idt} = \frac {I\vec{l}} \vec{v} </math>

	<math>{ {qv} = {Il} }</math>		<math>{ {qv} = {Il} }</math>
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	http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/forwir.html		http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/forwir.html

	http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcur.html		http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcur.html

	http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/forwir2.html		http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/forwir2.html

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	Physics for Scientists and Engineers, 3rd Ed. By Randall D. Knight		Physics for Scientists and Engineers, 3rd Ed. By Randall D. Knight

	[[Category:~~Which Category did you place this in?~~]]		[[Category:Magnetic Force]]

Snotberg123 at 20:33, 6 December 2015

2015-12-06T20:33:12Z

← Older revision		Revision as of 16:33, 6 December 2015
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	Now, we may consider two wires next to each which may create magnetic fields affecting both wires. To do so, we may assume wires with length l and distance d such that the following simplification for the magnetic field of a wire may be used:		Now, we may consider two wires next to each which may create magnetic fields affecting both wires. To do so, we may assume wires with length l and distance d such that the following simplification for the magnetic field of a wire may be used:

	<math> B = \frac{\~~mu_0\I~~}{2d\pi} </math>		<math> B = \frac{\mu_0I}{2d\pi} </math>

	The following diagram will be referenced and modeled:		The following diagram will be referenced and modeled:
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	We can use this logic to find the force the bottom wire exerts on the top wire, relating both currents and distance:		We can use this logic to find the force the bottom wire exerts on the top wire, relating both currents and distance:

	<math>{\vec{F} = I_1\vec{l}\times\vec{B_2}} <math>		<math>{\vec{F} = I_1\vec{l}\times\vec{B_2}}</math>
	<math>{\vec{F} = {I_1}{\vec{l}}\frac{\~~mu_0\I~~}{2d\pi}} <math>		<math>{\vec{F} = {I_1}{\vec{l}}\frac{\mu_0I}{2d\pi}} </math>

	It is important to note that this demonstrates only the force of one wire on another; total force between the two must be found by summing both forces from both currents.		It is important to note that this demonstrates only the force of one wire on another; total force between the two must be found by summing both forces from both currents.

Snotberg123 at 04:56, 6 December 2015

2015-12-06T04:56:23Z

← Older revision		Revision as of 00:56, 6 December 2015
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	<math>{\vec{F} = I_1\vec{l}\times\vec{B_2}} <math>		<math>{\vec{F} = I_1\vec{l}\times\vec{B_2}} <math>
	<math>{\vec{F} = I_1\vec{l}\frac{\mu_0\I}{2d\pi}} <math>		<math>{\vec{F} = {I_1}{\vec{l}}\frac{\mu_0\I}{2d\pi}} <math>

	It is important to note that this demonstrates only the force of one wire on another; total force between the two must be found by summing both forces from both currents.		It is important to note that this demonstrates only the force of one wire on another; total force between the two must be found by summing both forces from both currents.

Snotberg123 at 04:52, 6 December 2015

2015-12-06T04:52:36Z

← Older revision		Revision as of 00:52, 6 December 2015
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	Claimed by Adam Zhang		Claimed by Adam Zhang
	~~Short Description~~ of ~~Topic~~
			Magnetic forces are forces that are exerted by a magnetic field on a moving charge, relative to the observation point. Because of this, currents exhibit magnetic forces on each other as they propogate moving charges.

	==The Main Idea==		==The Main Idea==

	~~State~~, ~~in your own words~~, the ~~main idea~~ for ~~this topic~~		Given an understanding of the basics of how a magnetic field can exert a force on a moving charge, we can expand that to model how a magnetic field may affect a current as well as how multiple currents or moving charges may affect each other.

			===A Mathematical Model===

			First, we must determine the force exerted on a long, straight wire carrying current I by a uniform magnetic field. Given the equation for magnetic force, as per the following:

			<math>{\vec{F} = q\vec{v}\times\vec{B}}</math>

			We can assume that the wire will not experience any force if the current, or moving charge, is parallel to the magnetic field; however, if the magnetic field were perpendicular, or any orientation that were not parallel, a force on the wire or current may be expected. It is important to note that any current within the magnetic field may experience a force, but current outside the field may not.

			[[File:physics21.jpeg]]

			In deriving the exact equation relating magnetic force to current, current I can be related to moving charge q as it travels through a wire. By this logic, current can be equated to the amount of moving charge in a length of wire divided by the time the charge travels. This can be denoted by the following equations:

			<math>{q = {I} {dt} = \frac {I\vec{l}} \vec{v} }</math>

			<math>{ {qv} = {Il} }</math>

			Therefore, recalling the equation for magnetic force, we can derive the following:

			<math>{\vec{F} = I\vec{l}\times\vec{B}} = {IlB}{sin\alpha}</math>

			where <math>{\alpha}</math> is the angle between the magnetic field and the direction of the moving charges.

	~~===A Mathematical Model===~~

	~~What are the mathematical equations that allow us~~ to ~~model this topic~~. ~~For example <math>{\frac{~~d~~\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is~~ the ~~momentum~~ of ~~the system and '''F''' is the net force from the surroundings.~~		Now, we may consider two wires next to each which may create magnetic fields affecting both wires. To do so, we may assume wires with length l and distance d such that the following simplification for the magnetic field of a wire may be used:

	=~~==A Computational Model===~~		<math> B = \frac{\mu_0\I}{2d\pi} </math>

	~~How do we visualize or predict using this topic. Consider embedding some vpython code here~~ [~~https~~:~~//trinket~~.~~io/glowscript/31d0f9ad9e Teach hands-on with GlowScript~~]		The following diagram will be referenced and modeled:
			[[File:physics22.jpg]]

	~~==Examples==~~		If it is first assumed that two wires have parallel currents running in the same direction. It can be observed that, due to the right hand rule, both wires cause a magnetic force toward each other. The bottom wire, I_2, causes a magnetic field, B_2, that exerts a downward force on the upper wire, I_1, and vice-versa.

	~~Be sure~~ to ~~show all steps in your solution and include diagrams whenever possible~~		If it is assumed that the wires have currents running in the opposite direction, the same logic can be used to find that each wire exerts a force away from each other; the wires cause a magnetic field that affects the other wire.

	~~===Simple===~~		We can use this logic to find the force the bottom wire exerts on the top wire, relating both currents and distance:
	~~===Middling===~~
	~~===Difficult===~~

	==~~Connectedness==~~		<math>{\vec{F} = I_1\vec{l}\times\vec{B_2}} <math>
	~~#How is this topic connected to something that you are interested in?~~		<math>{\vec{F} = I_1\vec{l}\frac{\mu_0\I}{2d\pi}} <math>
	~~#How is it connected to your major?~~
	~~#Is there an interesting industrial application?~~

	~~==History==~~		It is important to note that this demonstrates only the force of one wire on another; total force between the two must be found by summing both forces from both currents.

	~~Put this idea in historical context~~. ~~Give~~ the ~~reader~~ the ~~Who~~, ~~What, When~~, ~~Where~~, ~~and Why~~.		Interesting notes can also be made regarding the magnetic field of the system. Observe that, when the currents run in the same direction, there is an effective net magnetic field of zero between the wires. This is because the wires, assuming equal magnitudes of current, cause equally opposing magnetic fields at that point.

	== See also ==		== See also ==

	~~Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?~~		Magnetic Force
			Magnetic Field of a Long-Straight Wire

	===Further reading===		===Further reading===

	~~Books, Articles or other print media on this topic~~		http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/forwir.html
			http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcur.html
			http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/forwir2.html

	===External links===		===External links===
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	==References==		==References==
			Physics for Scientists and Engineers, 3rd Ed. By Randall D. Knight
	~~This section contains the the references you used while writing this page~~

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