The Electric Field - Revision history

Fuchs at 16:15, 31 January 2025

2025-01-31T16:15:43Z

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	[https://iwant2study.org/lookangejss/05electricitynmagnetism_11efield/ejss_model_electricfieldwee/electricfieldwee_Simulation.xhtml Electric Field vectors]<br>		[https://iwant2study.org/lookangejss/05electricitynmagnetism_11efield/ejss_model_electricfieldwee/electricfieldwee_Simulation.xhtml Electric Field vectors]<br>

	~~[http://hsilomedus.me/wp-content/uploads/d3electricField/electricField.html The Electric Field ]~~

	[https://www.falstad.com/vector3de/ The Electric Field-3D]		[https://www.falstad.com/vector3de/ The Electric Field-3D]

Brachers at 15:31, 22 November 2024

2024-11-22T15:31:00Z

← Older revision		Revision as of 15:31, 22 November 2024
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	Back to [[Electricity_and_Magnetism]]		Back to [[Electricity_and_Magnetism]]
			<br class="clear"/>
			Next: [[Electric Potential]]

Brachers: /* The Electric Field of a charged particle at rest (Point Charge) */

2024-11-05T11:36:36Z

The Electric Field of a charged particle at rest (Point Charge)

← Older revision		Revision as of 11:36, 5 November 2024
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	In the same way that <math> \vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.		In the same way that <math> \vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.

	=== The Electric Field of a ~~charged particle~~ at rest (Point Charge) ===		=== The Electric Field of a Charged Particle at rest (Point Charge) ===

	The electric field <math> \vec{E} </math> caused by a point (source) charge <math> Q_s </math> at a distance <math> r </math> from the position is given by:		The electric field <math> \vec{E} </math> caused by a point (source) charge <math> Q_s </math> at a distance <math> r </math> from the position is given by:

Brachers: /* The Electric Field of a Point Charge */

2024-11-05T11:36:03Z

The Electric Field of a Point Charge

← Older revision		Revision as of 11:36, 5 November 2024
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	In the same way that <math> \vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.		In the same way that <math> \vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.

	=== The Electric Field of a Point Charge ===		=== The Electric Field of a charged particle at rest (Point Charge) ===

	The electric field <math> \vec{E} </math> caused by a point (source) charge <math> Q_s </math> at a distance <math> r </math> from the position is given by:		The electric field <math> \vec{E} </math> caused by a point (source) charge <math> Q_s </math> at a distance <math> r </math> from the position is given by:

Brachers: /* Electric Field Lines */

2024-11-05T11:34:39Z

Electric Field Lines

← Older revision		Revision as of 11:34, 5 November 2024
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	'''Electric field lines''' visually represent the direction and strength of an electric field around charges. They point in the direction the electric force would have on a positive test charge.		'''Electric field lines''' visually represent the direction and strength of an electric field around charges. They point in the direction the electric force would have on a positive test charge.

	~~* ~~Direction**: Field lines point '''away''' from positive charges and '''toward''' negative charges.		* Direction: Field lines point '''away''' from positive charges and '''toward''' negative charges.
	~~* ~~Density**: The closer the lines, the stronger the electric field in that area.		* Density: The closer the lines, the stronger the electric field in that area.

	=== Rules for Drawing Electric Field Lines ===		=== Rules for Drawing Electric Field Lines ===

Brachers: /* Electric Field Lines */

2024-11-05T11:34:12Z

Electric Field Lines

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 == Electric Field Lines ==
 <youtube>pbrI1JEBAQU</youtube>
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Brachers: /* Electric Field */

2024-11-05T11:31:34Z

Electric Field

← Older revision		Revision as of 11:31, 5 November 2024
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	In the same way that <math> \vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.		In the same way that <math> \vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.

			=== The Electric Field of a Point Charge ===

			The electric field <math> \vec{E} </math> caused by a point (source) charge <math> Q_s </math> at a distance <math> r </math> from the position is given by:

			<math> \vec{E} = k_e \frac{Q_s}{r^2} \hat{r} </math>

			where:
			* <math> k_e </math> is the electrostatic constant, approximately <math> 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 </math>.
			* <math> Q_s </math> is the point charge creating the electric field (the source charge).
			* <math> r </math> is the distance from the charge to the point where the field is being calculated.
			* <math> \hat{r} </math> is a unit vector pointing from the charge to the point of interest.

			Note that combined with <math> \vec{F} = q_t \cdot \vec{E} </math>, this simply gives you Coulomb's Law.

	<youtube>qMnQQudvaE4</youtube>		<youtube>qMnQQudvaE4</youtube>

Brachers: /* Electric Field */

2024-11-05T11:27:58Z

Electric Field

← Older revision		Revision as of 11:27, 5 November 2024
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	<math> \vec{F} = q_t \cdot \vec{E} </math>		<math> \vec{F} = q_t \cdot \vec{E} </math>

	In the same way that <math> vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.		In the same way that <math> \vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.

Brachers at 11:27, 5 November 2024

2024-11-05T11:27:21Z

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	= Electric Fields Videos =		= Electric Fields Videos =

	== Theory ==		= Theory =
	=== Electric Field ===		== Electric Field ==
			The electric field acts as a shortcut for calculating the electric force <math> \vec{F} </math> on a test charge <math> q </math>, similar to how the gravitational field <math> g </math> simplifies calculations for gravitational force. Instead of recalculating the force based on Coulomb's Law (and adding the forces of multiple source charges), we can use the electric field, where:

			<math> \vec{F} = q_t \cdot \vec{E} </math>

			In the same way that <math> vec{g} </math> gives the gravitational force per kilogram, <math> \vec{E} </math> gives the electric force per coulomb.


	<youtube>qMnQQudvaE4</youtube>		<youtube>qMnQQudvaE4</youtube>
	<youtube>pB-Fjrs1m94</youtube>		<youtube>pB-Fjrs1m94</youtube>
	<br class="clear"/>		<br class="clear"/>

	=== Electric Field Lines ===		== Electric Field Lines ==
	<youtube>pbrI1JEBAQU</youtube>		<youtube>pbrI1JEBAQU</youtube>
	<br class="clear"/>		<br class="clear"/>

	=== Typical Problems with the Electric Field ===		== Typical Problems with the Electric Field ==
	<youtube>8GzJOKjp_jA</youtube>		<youtube>8GzJOKjp_jA</youtube>
	<br class="clear"/>		<br class="clear"/>

	=== Other Videos ===		== Other Videos ==
	[https://youtu.be/WqvImbn9GG4 MIT Physics Demo -- Faraday's Cage]<br>		[https://youtu.be/WqvImbn9GG4 MIT Physics Demo -- Faraday's Cage]<br>
	<youtube>M1XHjl_6HtM</youtube><br>		<youtube>M1XHjl_6HtM</youtube><br>

Brachers at 13:39, 27 September 2024

2024-09-27T13:39:16Z

← Older revision		Revision as of 13:39, 27 September 2024
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			Back to [[Electricity_and_Magnetism]]

	= Textbook =		= Textbook =
	[https://openstax.org/books/university-physics-volume-2/pages/5-4-electric-field University Physics Volume 2: Chapter 5.4]		[https://openstax.org/books/university-physics-volume-2/pages/5-4-electric-field University Physics Volume 2: Chapter 5.4]