Current and Resistance - Revision history

Brachers at 15:47, 22 November 2024

2024-11-22T15:47:00Z

← Older revision		Revision as of 15:47, 22 November 2024
Line 40:		Line 40:

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

			= Textbook =
			[https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9]

			= Current and Resistance =
			== Theory ==

			=== Current and Current Density ===
			Electric current (<math>I</math>) is the flow of electric charge through a conductor, measured in amperes (<math>A</math>). The current density (<math>\vec{J}</math>) represents the current per unit cross-sectional area, expressed as:
			<math>\vec{J} = \frac{\vec{I}}{A} = \sigma \vec{E}</math>
			where <math>\sigma</math> is the conductivity, and <math>\vec{E}</math> is the electric field.

			<math>I = \int \vec{J} \cdot d\vec{A}</math>

			<youtube>FViTaHwLgxo</youtube>
			<youtube>1ahlvmI_0HU</youtube>

			=== Resistance, Resistivity, and Conductivity ===
			Resistance (<math>R</math>) quantifies the opposition to the flow of current in a conductor, measured in ohms (<math>\Omega</math>). Resistivity (<math>\rho</math>) is a material property that measures resistance per unit length and cross-sectional area. Conductivity (<math>\sigma</math>) is the reciprocal of resistivity.

			<math>R = \rho \frac{L}{A}, \quad \sigma = \frac{1}{\rho}</math>

			where <math>L</math> is the length of the conductor and <math>A</math> is its cross-sectional area.

			<youtube>FFHUoWFtab0</youtube>
			<youtube>IWTyLsvQmxE</youtube>

			=== Ohm's Law ===
			Ohm's Law relates the voltage (<math>V</math>), current (<math>I</math>), and resistance (<math>R</math>) in a circuit:
			<math>V = IR</math>

			It also applies at the microscopic level:
			<math>\vec{E} = \rho \vec{J}</math>

			<youtube>nmA7xmXwXqg</youtube>

			<br class="clear"/>
			==== Ohm's Law Simulation ====
			*[https://phet.colorado.edu/en/simulations/ohms-law Ohm's Law on PhET] <br>

			<br class="clear"/>
			Back to [[Electricity_and_Magnetism]]
			<br class="clear"/>
			Next: [[Notes on DC Circuits]]

Brachers at 15:45, 22 November 2024

2024-11-22T15:45:03Z

← Older revision		Revision as of 15:45, 22 November 2024
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	=== Resistance, Resistivity, and Conductivity ===		=== Resistance, Resistivity, and Conductivity ===
	Resistance (<math>R</math>) quantifies the opposition to the flow of current in a conductor, measured in ohms (<math>\Omega</math>). Resistivity (<math>\rho</math>) is a material property that measures resistance per unit length and cross-sectional area. Conductivity (<math>\sigma</math>) is the ~~reciprocal~~ of resistivity.		Resistance (<math>R</math>) quantifies the opposition to the flow of current in a conductor, measured in ohms (<math>\Omega</math>). Resistivity (<math>\rho</math>) is a material property that measures resistance per unit length and cross-sectional area. Conductivity (<math>\sigma</math>) is the inverse of resistivity.

	<math>R = \rho \frac{L}{A}, \quad \sigma = \frac{1}{\rho}</math>		<math>R = \rho \frac{L}{A}, \quad \sigma = \frac{1}{\rho}</math>

Brachers at 15:43, 22 November 2024

2024-11-22T15:43:47Z

← Older revision		Revision as of 15:43, 22 November 2024
Line 6:		Line 6:
	= Current and Resistance =		= Current and Resistance =
	== Theory ==		== Theory ==

	=== Current and Current Density ===		=== Current and Current Density ===
			Electric current (<math>I</math>) is the flow of electric charge through a conductor, measured in amperes (<math>A</math>). The current density (<math>\vec{J}</math>) represents the current per unit cross-sectional area, expressed as:
			<math>\vec{J} = \frac{\vec{I}}{A} = \sigma \vec{E}</math>
			where <math>\sigma</math> is the conductivity, and <math>\vec{E}</math> is the electric field.


	<youtube>FViTaHwLgxo</youtube>		<youtube>FViTaHwLgxo</youtube>
	<youtube>1ahlvmI_0HU</youtube>		<youtube>1ahlvmI_0HU</youtube>

	=== Resistance, Resistivity, and Conductivity===		=== Resistance, Resistivity, and Conductivity ===
			Resistance (<math>R</math>) quantifies the opposition to the flow of current in a conductor, measured in ohms (<math>\Omega</math>). Resistivity (<math>\rho</math>) is a material property that measures resistance per unit length and cross-sectional area. Conductivity (<math>\sigma</math>) is the reciprocal of resistivity.

			<math>R = \rho \frac{L}{A}, \quad \sigma = \frac{1}{\rho}</math>

			where <math>L</math> is the length of the conductor and <math>A</math> is its cross-sectional area.

	<youtube>FFHUoWFtab0</youtube>		<youtube>FFHUoWFtab0</youtube>
	<youtube>IWTyLsvQmxE</youtube>		<youtube>IWTyLsvQmxE</youtube>

	=== Ohm's Law ===		=== Ohm's Law ===
			Ohm's Law relates the voltage (<math>V</math>), current (<math>I</math>), and resistance (<math>R</math>) in a circuit:
			<math>V = IR</math>

			It also applies at the microscopic level:
			<math>\vec{E} = \rho \vec{J}</math>

	<youtube>nmA7xmXwXqg</youtube>		<youtube>nmA7xmXwXqg</youtube>

Brachers at 13:41, 27 September 2024

2024-09-27T13:41:11Z

← Older revision		Revision as of 13:41, 27 September 2024
Line 1:		Line 1:
			Back to [[Electricity_and_Magnetism]]

	= Textbook =		= Textbook =
	[https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9]		[https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9]
Line 18:		Line 20:
	==== Ohm's Law Simulation ====		==== Ohm's Law Simulation ====
	*[https://phet.colorado.edu/en/simulations/ohms-law Ohm's Law on PhET] <br>		*[https://phet.colorado.edu/en/simulations/ohms-law Ohm's Law on PhET] <br>

			Back to [[Electricity_and_Magnetism]]

Brachers at 13:40, 27 September 2024

2024-09-27T13:40:36Z

← Older revision		Revision as of 13:40, 27 September 2024
Line 1:		Line 1:
	~~[[File:Electronic_components_capacitor.jpg\|right\|400px]]~~

	= Textbook =		= Textbook =
	[https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9]		[https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9]

Brachers at 13:40, 27 September 2024

2024-09-27T13:40:16Z

← Older revision		Revision as of 13:40, 27 September 2024
Line 1:		Line 1:
			[[File:Electronic_components_capacitor.jpg\|right\|400px]]

	= Textbook =		= Textbook =
	[https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9]		[https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9]

Brachers: /* Ohm's Law */

2024-09-16T10:03:57Z

Ohm's Law

← Older revision		Revision as of 10:03, 16 September 2024
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	<br class="clear"/>		<br class="clear"/>
			==== Ohm's Law Simulation ====
			*[https://phet.colorado.edu/en/simulations/ohms-law Ohm's Law on PhET] <br>

Brachers: /* Theory */

2024-09-16T09:02:16Z

Theory

← Older revision		Revision as of 09:02, 16 September 2024
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	= Current and Resistance =		= Current and Resistance =
	== Theory ==		== Theory ==
			=== Current and Current Density ===
	<youtube>FViTaHwLgxo</youtube>		<youtube>FViTaHwLgxo</youtube>
			<youtube>1ahlvmI_0HU</youtube>

			=== Resistance, Resistivity, and Conductivity===
			<youtube>FFHUoWFtab0</youtube>
			<youtube>IWTyLsvQmxE</youtube>

			=== Ohm's Law ===
	<youtube>nmA7xmXwXqg</youtube>		<youtube>nmA7xmXwXqg</youtube>

	<br class="clear"/>		<br class="clear"/>

Brachers: Created page with "= Textbook = [https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9] = Current and Resistance = == Theory == FViTaHwLgxo nmA7xmXwXqg
"

2024-09-16T08:52:51Z

Created page with "= Textbook = [https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9] = Current and Resistance = == Theory == <youtube>FViTaHwLgxo</youtube> <youtube>nmA7xmXwXqg</youtube> <br class="clear"/>"

New page

= Textbook =
[https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9]

= Current and Resistance =
== Theory ==
<youtube>FViTaHwLgxo</youtube>
<youtube>nmA7xmXwXqg</youtube>
<br class="clear"/>

Current and Resistance - Revision history

Brachers at 15:47, 22 November 2024

Brachers at 15:45, 22 November 2024

Brachers at 15:43, 22 November 2024

Brachers at 13:41, 27 September 2024

Brachers at 13:40, 27 September 2024

Brachers at 13:40, 27 September 2024

Brachers: /* Ohm's Law */

Brachers: /* Theory */

Brachers: Created page with "= Textbook = [https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9] = Current and Resistance = == Theory == FViTaHwLgxo nmA7xmXwXqg "

Brachers: Created page with "= Textbook = [https://openstax.org/books/university-physics-volume-2/pages/9-introduction University Physics Volume 2: Chapter 9] = Current and Resistance = == Theory == FViTaHwLgxo nmA7xmXwXqg
"