Magnetic Fields - Revision history

Brachers at 15:52, 22 November 2024

2024-11-22T15:52:34Z

← Older revision		Revision as of 15:52, 22 November 2024
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	<!--* [http://www.phy.syr.edu/courses/java-suite/crosspro.html Cross product of two vectors-with expalnations]-->		<!--* [http://www.phy.syr.edu/courses/java-suite/crosspro.html Cross product of two vectors-with expalnations]-->

			<br class="clear"/>
	Back to [[Electricity_and_Magnetism]]		Back to [[Electricity_and_Magnetism]]
			<br class="clear"/>
			Next: [[Sources of Magnetic Fields - Biot Savart]]

Brachers: /* Magnetic Force on a Current-Carrying Wire */

2024-11-18T15:02:43Z

Magnetic Force on a Current-Carrying Wire

← Older revision		Revision as of 15:02, 18 November 2024
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	The force on a wire of length <math>L</math> carrying current <math>I</math> in a magnetic field <math>B</math> is:		The force on a wire of length <math>L</math> carrying current <math>I</math> in a magnetic field <math>B</math> is:
	* Formula: <math>\vec{F} = I \cdot (\vec{L} \times \vec{B})</math>		* Formula: <math>\vec{F} = I \cdot (\vec{L} \times \vec{B})</math>

			<youtube>GSIPBaaAYKc</youtube>
	<div style="clear:both;"></div>		<div style="clear:both;"></div>
	~~<youtube>GSIPBaaAYKc</youtube>~~

	= Torque on a Current Loop - the Electric Motor =		= Torque on a Current Loop - the Electric Motor =

Brachers: /* Magnetic Force on a Current-Carrying Wire */

2024-11-18T15:02:28Z

Magnetic Force on a Current-Carrying Wire

← Older revision		Revision as of 15:02, 18 November 2024
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	= Magnetic Force on a Current-Carrying Wire =		= Magnetic Force on a Current-Carrying Wire =
	[[File:RHR-wire.png\|thumb\|right\|400px\|Direction of the force on a wire RHR based on Cross-Product RHR]]		[[File:RHR-wire.png\|thumb\|right\|400px\|Direction of the force on a wire RHR based on Cross-Product RHR]]
	~~<youtube>GSIPBaaAYKc</youtube>~~
	The force on a wire of length <math>L</math> carrying current <math>I</math> in a magnetic field <math>B</math> is:		The force on a wire of length <math>L</math> carrying current <math>I</math> in a magnetic field <math>B</math> is:
	* Formula: <math>\vec{F} = I \cdot (\vec{L} \times \vec{B})</math>		* Formula: <math>\vec{F} = I \cdot (\vec{L} \times \vec{B})</math>
	<div style="clear:both;"></div>		<div style="clear:both;"></div>
			<youtube>GSIPBaaAYKc</youtube>

	= Torque on a Current Loop - the Electric Motor =		= Torque on a Current Loop - the Electric Motor =

Brachers at 15:01, 18 November 2024

2024-11-18T15:01:28Z

← Older revision		Revision as of 15:01, 18 November 2024
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	= Magnetic Force on a Current-Carrying Wire =		= Magnetic Force on a Current-Carrying Wire =
			[[File:RHR-wire.png\|thumb\|right\|400px\|Direction of the force on a wire RHR based on Cross-Product RHR]]
	<youtube>GSIPBaaAYKc</youtube>		<youtube>GSIPBaaAYKc</youtube>
	The force on a wire of length <math>L</math> carrying current <math>I</math> in a magnetic field <math>B</math> is:		The force on a wire of length <math>L</math> carrying current <math>I</math> in a magnetic field <math>B</math> is:
	* Formula: <math>\vec{F} = I \cdot (\vec{L} \times \vec{B})</math>		* Formula: <math>\vec{F} = I \cdot (\vec{L} \times \vec{B})</math>
			<div style="clear:both;"></div>
	= Torque on a Current Loop - the Electric Motor =		= Torque on a Current Loop - the Electric Motor =

Brachers at 14:57, 18 November 2024

2024-11-18T14:57:29Z

← Older revision		Revision as of 14:57, 18 November 2024
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	== Torque on a Magnetic Dipole in a Magnetic Field ==		== Torque on a Magnetic Dipole in a Magnetic Field ==
			[[File:RHR-dipole.png\|thumb\|right\|400px\|Direction of the torque on a dipole RHR based on Cross-Product RHR]]

	When a magnetic dipole is placed in an external magnetic field <math>\vec{B}</math>, it experiences a torque <math>\vec{\tau}</math>, which tends to align the dipole with the field:		When a magnetic dipole is placed in an external magnetic field <math>\vec{B}</math>, it experiences a torque <math>\vec{\tau}</math>, which tends to align the dipole with the field:
	* Formula: <math>\vec{\tau} = \vec{\mu} \times \vec{B}</math>		* Formula: <math>\vec{\tau} = \vec{\mu} \times \vec{B}</math>
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	* <math>\vec{\mu}</math> is the magnetic dipole moment,		* <math>\vec{\mu}</math> is the magnetic dipole moment,
	* <math>\vec{B}</math> is the magnetic field.		* <math>\vec{B}</math> is the magnetic field.

	Right-hand rule: Point your fingers in the direction of <math>\vec{\mu}</math> and curl them toward <math>\vec{B}</math>. Your thumb will point in the direction of the torque <math>\vec{\tau}</math>.

	== Potential Energy of a Magnetic Dipole ==		== Potential Energy of a Magnetic Dipole ==

Brachers: /* Force on a Moving Charge */

2024-11-18T14:31:11Z

Force on a Moving Charge

← Older revision		Revision as of 14:31, 18 November 2024
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	== Force on a Moving Charge ==		== Force on a Moving Charge ==
			[[File:RHR-lorentz.png\|thumb\|right\|400px\|Lorentz-Force Right-Hand-Rule for positive charges based on Cross-Product Right-Hand-Rule]]

	The force <math>\vec{F}</math> on a moving charge <math>q</math> in a magnetic field <math>\vec{B}</math> is given by the Lorentz force:		The force <math>\vec{F}</math> on a moving charge <math>q</math> in a magnetic field <math>\vec{B}</math> is given by the Lorentz force:
	* Formula: <math>\vec{F} = q \cdot (\vec{v} \times \vec{B})</math>		* Formula: <math>\vec{F} = q \cdot (\vec{v} \times \vec{B})</math>
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	* <math>\times</math> denotes the cross product.		* <math>\times</math> denotes the cross product.

			<div style="clear:both;"></div>
	<youtube>dFT7-_s0jh0</youtube>		<youtube>dFT7-_s0jh0</youtube>
	<youtube>7MBawzone30</youtube>		<youtube>7MBawzone30</youtube>
	<youtube>orsMYomjwIw</youtube>		<youtube>orsMYomjwIw</youtube>


	== Applications ==		== Applications ==

Brachers: /* Magnetic Dipole */

2024-10-16T12:40:29Z

Magnetic Dipole

← Older revision		Revision as of 12:40, 16 October 2024
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	== Magnetic Dipole ==		== Magnetic Dipole ==
	A magnetic dipole consists of a closed loop of electric current or a pair of opposite magnetic poles separated by a distance. The magnetic moment <math>\vec{\mu}</math> is a vector quantity that points perpendicular to the plane of the current loop and is proportional to the current and the area of the loop:		A magnetic dipole consists of a closed loop of electric current or a pair of opposite magnetic poles separated by a distance. The magnetic moment <math>\vec{\mu}</math> is a vector quantity that points perpendicular to the plane of the current loop and is proportional to the current and the area of the loop:
	* Formula: <math>\vec{\mu} = I \cdot A \cdot \hat{n}</math>		* Formula: <math>\vec{\mu} = N \cdot I \cdot A \cdot \hat{n}</math>
	Where:		Where:
	* <math>\vec{\mu}</math> is the magnetic dipole moment,		* <math>\vec{\mu}</math> is the magnetic dipole moment,
			* <math>N</math> is number of turns,
	* <math>I</math> is the current,		* <math>I</math> is the current,
	* <math>A</math> is the area of the loop,		* <math>A</math> is the area of the loop,

Brachers: /* Torque on a Current Loop - the Electric Motor */

2024-10-16T12:38:54Z

Torque on a Current Loop - the Electric Motor

@@ Line 96: / Line 96: @@
    * <math>B</math> is the magnetic field,
    * <math>\theta</math> is the angle between the magnetic field and the normal to the loop.
 <youtube>_saTdQ9AEnM</youtube>
 <youtube>Xi7o8cMPI0E</youtube>
 = Simulations =

Brachers: /* Crossed Fields */

2024-10-16T12:31:29Z

Crossed Fields

← Older revision		Revision as of 12:31, 16 October 2024
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	A type of particle accelerator that uses a perpendicular magnetic field to accelerate charged particles in a circular path.		A type of particle accelerator that uses a perpendicular magnetic field to accelerate charged particles in a circular path.

	= ~~Crossed~~ Fields =		= Combined Fields =

	== Force on a Moving Charge due to Electric and Magnetic Fields ==		== Force on a Moving Charge due to Electric and Magnetic Fields ==
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	== Hall Effect ==		== Hall Effect ==
	The creation of a voltage difference across an electrical conductor, transverse to the electric current and the applied magnetic field.		The creation of a voltage difference across an electrical conductor, transverse to the electric current and the applied magnetic field.

			<youtube>wpAA3qeOYiI</youtube>

	= Magnetic Force on a Current-Carrying Wire =		= Magnetic Force on a Current-Carrying Wire =

Brachers: /* Thomson Experiment (Discovery of the Electron) */

2024-10-16T12:27:12Z

Thomson Experiment (Discovery of the Electron)

← Older revision		Revision as of 12:27, 16 October 2024
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	== Thomson Experiment (Discovery of the Electron) ==		== Thomson Experiment (Discovery of the Electron) ==
	Used crossed electric and magnetic fields to determine the charge-to-mass ratio of the electron.		Used crossed electric and magnetic fields to determine the charge-to-mass ratio of the electron.

			<youtube>Rb6MguN0Uj4</youtube>

	== Hall Effect ==		== Hall Effect ==