Electromagnetic Induction - Revision history

Brachers: /* Applications */

2024-10-30T10:46:57Z

Applications

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	<youtube>VI1DXCL49H4</youtube>		<youtube>VI1DXCL49H4</youtube>

			== Magnetic Levitation of Superconductors ==
			<youtube>qz3grbwjn-c</youtube>


	Back to [[Electricity_and_Magnetism]]		Back to [[Electricity_and_Magnetism]]

Brachers at 10:45, 30 October 2024

2024-10-30T10:45:04Z

← Older revision		Revision as of 10:45, 30 October 2024
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	= Textbook =		= Textbook =
	*[https://openstax.org/books/university-physics-volume-2/pages/13-introduction University Physics Volume 2: Chapter 13 - Electromagnetic Induction]		*[https://openstax.org/books/university-physics-volume-2/pages/13-introduction University Physics Volume 2: Chapter 13 - Electromagnetic Induction]

			= Introduction =
			<youtube>pQp6bmJPU_0</youtube>

	= Magnetic Flux =		= Magnetic Flux =

Brachers: /* Back EMF of an Electric Motor */

2024-10-30T10:32:06Z

Back EMF of an Electric Motor

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	This reduces the effective voltage driving the motor as it speeds up, limiting its maximum current.		This reduces the effective voltage driving the motor as it speeds up, limiting its maximum current.

			<youtube>dHQiKzFUFEE</youtube>

	== Transformer ==		== Transformer ==

Brachers: /* Generator */

2024-10-30T10:30:56Z

Generator

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	* <math>A</math> is the area of the coil,		* <math>A</math> is the area of the coil,
	* <math>\omega</math> is the angular velocity of the coil’s rotation.		* <math>\omega</math> is the angular velocity of the coil’s rotation.

			<youtube>AWpOdWROBuI</youtube>

	== Back EMF of an Electric Motor ==		== Back EMF of an Electric Motor ==

Brachers: /* Transformer */

2024-10-30T10:26:22Z

Transformer

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	This relationship enables voltage step-up or step-down based on the ratio of turns.		This relationship enables voltage step-up or step-down based on the ratio of turns.

			<youtube>VI1DXCL49H4</youtube>


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Brachers: /* Faraday's and Lenz's Law */

2024-10-30T10:24:42Z

Faraday's and Lenz's Law

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	'''Lenz's Law:''' The direction of the induced EMF opposes the change in magnetic flux, which is represented by the negative sign in Faraday's Law.		'''Lenz's Law:''' The direction of the induced EMF opposes the change in magnetic flux, which is represented by the negative sign in Faraday's Law.

			<youtube>npls3sQP7xk</youtube>

	= Applications =		= Applications =

Brachers: /* Magnetic Flux */

2024-10-30T10:23:25Z

Magnetic Flux

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	The unit of magnetic flux is the Weber (Wb).		The unit of magnetic flux is the Weber (Wb).

			<youtube>6T7aG3Gd_38</youtube>

	= Faraday's and Lenz's Law =		= Faraday's and Lenz's Law =

Brachers: /* Eddy Currents - Magnetic Damping/Brakes */

2024-10-30T10:20:44Z

Eddy Currents - Magnetic Damping/Brakes

← Older revision		Revision as of 10:20, 30 October 2024
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	== Eddy Currents - Magnetic Damping/Brakes ==		== Eddy Currents - Magnetic Damping/Brakes ==

	Eddy currents are circulating currents induced in a conductor when it experiences a changing magnetic field. The induced currents produce a magnetic field that opposes the original change, creating a damping force.		Eddy currents are circulating currents induced in a conductor when it experiences a changing magnetic field. The induced currents produce a magnetic field that opposes the original change, creating a damping force.

			<youtube>KmNMuhW3Bq0</youtube>
			<youtube>MglUIiBy2lQ</youtube>

	== Generator ==		== Generator ==

Brachers: /* Faraday's and Lenz's Law */

2024-10-30T10:19:15Z

Faraday's and Lenz's Law

← Older revision		Revision as of 10:19, 30 October 2024
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	= Faraday's and Lenz's Law =		= Faraday's and Lenz's Law =

	'''Faraday's Law:''' The induced electromotive force (~~EMF~~) in a closed loop is equal to the negative rate of change of magnetic flux through the loop:		'''Faraday's Law:''' The induced electromotive force (<math>\mathcal{E}</math>) in a closed loop is equal to the negative rate of change of magnetic flux through the loop:

	<math>\mathcal{~~EMF~~} = -\frac{d\Phi}{dt}</math>		<math>\mathcal{E} = -\frac{d\Phi}{dt}</math>

	'''Lenz's Law:''' The direction of the induced EMF opposes the change in magnetic flux, which is represented by the negative sign in Faraday's Law.		'''Lenz's Law:''' The direction of the induced EMF opposes the change in magnetic flux, which is represented by the negative sign in Faraday's Law.

Brachers: Created page with "Back to Electricity_and_Magnetism TOC = Textbook = [https://openstax.org/books/university-physics-volume-2/pages/13-introduction University Physics Volume 2: Chapter 13 - Electromagnetic Induction] = Magnetic Flux = Magnetic flux $\Phi$ through a surface is the product of the magnetic field $B$ and the area $A$ perpendicular to the field: $\Phi = B \cdot A \cdot \cos \theta$ Where: $B$ is the magneti..."

2024-10-30T10:18:28Z

Created page with "Back to Electricity_and_Magnetism __TOC__ = Textbook = *[https://openstax.org/books/university-physics-volume-2/pages/13-introduction University Physics Volume 2: Chapter 13 - Electromagnetic Induction] = Magnetic Flux = Magnetic flux <math>\Phi</math> through a surface is the product of the magnetic field <math>B</math> and the area <math>A</math> perpendicular to the field: <math>\Phi = B \cdot A \cdot \cos \theta</math> Where: * <math>B</math> is the magneti..."

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__TOC__

= Textbook =
*[https://openstax.org/books/university-physics-volume-2/pages/13-introduction University Physics Volume 2: Chapter 13 - Electromagnetic Induction]

= Magnetic Flux =

Magnetic flux <math>\Phi</math> through a surface is the product of the magnetic field <math>B</math> and the area <math>A</math> perpendicular to the field:

<math>\Phi = B \cdot A \cdot \cos \theta</math>

Where:
* <math>B</math> is the magnetic field strength,
* <math>A</math> is the area through which the field passes,
* <math>\theta</math> is the angle between the magnetic field and the normal to the surface.

The unit of magnetic flux is the Weber (Wb).

= Faraday's and Lenz's Law =

'''Faraday's Law:''' The induced electromotive force (EMF) in a closed loop is equal to the negative rate of change of magnetic flux through the loop:

<math>\mathcal{EMF} = -\frac{d\Phi}{dt}</math>

'''Lenz's Law:''' The direction of the induced EMF opposes the change in magnetic flux, which is represented by the negative sign in Faraday's Law.

= Applications =

== Eddy Currents - Magnetic Damping/Brakes ==

Eddy currents are circulating currents induced in a conductor when it experiences a changing magnetic field. The induced currents produce a magnetic field that opposes the original change, creating a damping force.

== Generator ==

In an electrical generator, mechanical energy is converted to electrical energy by rotating a coil in a magnetic field. The EMF induced in the coil varies sinusoidally over time.:

<math>\mathcal{EMF} = N B A \omega \sin(\omega t)</math>

Where:
* <math>N</math> is the number of turns in the coil,
* <math>B</math> is the magnetic field strength,
* <math>A</math> is the area of the coil,
* <math>\omega</math> is the angular velocity of the coil’s rotation.

== Back EMF of an Electric Motor ==

When an electric motor operates, a “back EMF” is generated, opposing the input voltage. The back EMF <math>\mathcal{EMF}_{\text{back}}</math> is proportional to the speed of the motor’s rotation:

<math>\mathcal{EMF}_{\text{back}} = N B A \omega</math>

This reduces the effective voltage driving the motor as it speeds up, limiting its maximum current.

== Transformer ==

A transformer changes the voltage in an alternating current (AC) circuit by means of electromagnetic induction between two coils, called the primary and secondary. The relationship between the primary and secondary voltages and the number of turns is given by:

<math>\frac{V_s}{V_p} = \frac{N_s}{N_p}</math>

Where:
* <math>V_s</math> and <math>V_p</math> are the secondary and primary voltages, respectively,
* <math>N_s</math> and <math>N_p</math> are the number of turns in the secondary and primary coils, respectively.

This relationship enables voltage step-up or step-down based on the ratio of turns.

Back to [[Electricity_and_Magnetism]]