Electric Potential - Revision history

Brachers at 15:32, 22 November 2024

2024-11-22T15:32:14Z

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	Back to [[Electricity_and_Magnetism]]		Back to [[Electricity_and_Magnetism]]
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			Next: [[Capacitors]]

Brachers: /* Projectile Motion */

2024-11-05T12:01:25Z

Projectile Motion

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	== Example Problems ==		== Example Problems ==
	=== Projectile Motion ===		=== Projectile Motion ===
	~~Projectile~~ motion problems ~~involve analyzing~~ the ~~effects~~ of ~~gravity and may also consider electric forces in certain cases where~~ charged particles ~~move~~ in an electric field.		Similar to projectile motion problems where gravity is the only force acting on an object, we can analyze the projectile motion of charged particles moving in an electric field, where they experience an electric force instead of gravitational force.

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	= Electric Potential Simulations =		= Electric Potential Simulations =

Brachers: /* Electric Potential, Current and Power */

2024-11-05T11:59:31Z

Electric Potential, Current and Power

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	Electric potential difference, or voltage, causes current to flow in a conductor.		Electric potential difference, or voltage, causes current to flow in a conductor.

	'''Current'''<math> I </math> is defined as the rate at which electric charge flows through a conductor:		'''Current''' <math> I </math> is defined as the rate at which electric charge flows through a conductor:
	<math> I = \frac{Q}{t} </math>		<math> I = \frac{Q}{t} </math>
	where <math> Q </math> is the charge in coulombs and <math> t </math> is time in seconds.		where <math> Q </math> is the charge in coulombs and <math> t </math> is time in seconds.

Brachers: /* Electric Potential, Current and Power */

2024-11-05T11:59:19Z

Electric Potential, Current and Power

← Older revision		Revision as of 11:59, 5 November 2024
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	Electric potential difference, or voltage, causes current to flow in a conductor.		Electric potential difference, or voltage, causes current to flow in a conductor.

	Current <math> I </math> is defined as the rate at which electric charge flows through a conductor:		'''Current'''<math> I </math> is defined as the rate at which electric charge flows through a conductor:
	<math> I = \frac{Q}{t} </math>		<math> I = \frac{Q}{t} </math>
	where <math> Q </math> is the charge in coulombs and <math> t </math> is time in seconds.		where <math> Q </math> is the charge in coulombs and <math> t </math> is time in seconds.

	Power <math> P </math> is the rate of doing work, or work done per unit time. In an electric circuit, power represents the rate at which electrical energy is transferred or converted:		'''Power''' <math> P </math> is the rate of doing work, or work done per unit time. In an electric circuit, power represents the rate at which electrical energy is transferred or converted:
	<math> P = \frac{W}{t} </math>		<math> P = \frac{W}{t} </math>
	where <math> W </math> is the work done in joules and <math> t </math> is the time in seconds.		where <math> W </math> is the work done in joules and <math> t </math> is the time in seconds.

Brachers: /* Electric Potential, Current and Power */

2024-11-05T11:58:49Z

Electric Potential, Current and Power

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	== Electric Potential, Current and Power ==		== Electric Potential, Current and Power ==
	Electric potential difference, or voltage, causes current to flow in a conductor. The power <math> P </math> delivered by an electric current <math> I </math> due to a potential difference <math> V </math> is:		Electric potential difference, or voltage, causes current to flow in a conductor.

			Current <math> I </math> is defined as the rate at which electric charge flows through a conductor:
			<math> I = \frac{Q}{t} </math>
			where <math> Q </math> is the charge in coulombs and <math> t </math> is time in seconds.

			Power <math> P </math> is the rate of doing work, or work done per unit time. In an electric circuit, power represents the rate at which electrical energy is transferred or converted:
			<math> P = \frac{W}{t} </math>
			where <math> W </math> is the work done in joules and <math> t </math> is the time in seconds.

			The power <math> P </math> delivered by an electric current <math> I </math> due to a potential difference <math> V </math> can be expressed as:

	<math> P = V \cdot I </math>		<math> P = V \cdot I </math>

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Brachers: /* Electric Potential and Electric Potential Energy */

2024-11-05T11:56:01Z

Electric Potential and Electric Potential Energy

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	Electric potential, also known as voltage, is measured in joules per coulomb (J/C).		Electric potential, also known as voltage, is measured in joules per coulomb (J/C).
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	== Electric Potential due to a Point Charge at Rest ==		== Electric Potential due to a Point Charge at Rest ==

Brachers at 11:55, 5 November 2024

2024-11-05T11:55:06Z

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	== ~~Introduction to~~ Electric Potential and Energy ==		== Electric Potential and Electric Potential Energy ==
	Electric potential energy is the energy stored in a system of charges due to their positions in an electric field. This is similar to gravitational potential energy, where the position of an object in a gravitational field determines its potential energy.		=== Electric Potential Energy ===
			'''Electric potential energy''' is the energy stored in a system of charges due to their positions in an electric field. This is similar to gravitational potential energy, where the position of an object in a gravitational field determines its potential energy.

			=== Electric Potential (Voltage) ===
			The '''electric potential''' <math> V </math> at a point is defined as the electric potential energy per charge:

	~~The electric potential~~ <math> V </math> ~~at a point~~ is ~~defined as the electric potential energy~~ per ~~charge:~~		<math> V = \frac{U}{q} </math>

			Electric potential, also known as voltage, is measured in joules per coulomb (J/C).
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	~~<math> V = \frac{U}{q} </math>~~

			=== Finding the Electric Potential Energy from the Electric Potential ===
	If the electric potential <math> V </math> at a point is known, the electric potential energy <math> U </math> of a charge <math> q </math> placed at that point can be calculated as:		If the electric potential <math> V </math> at a point is known, the electric potential energy <math> U </math> of a charge <math> q </math> placed at that point can be calculated as:

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	~~== Electric Potential Energy ==~~
	~~Electric potential energy between two point charges <math> q_1 </math> and <math> q_2 </math> separated by a distance <math> r </math> is given by:~~
	~~<math> U = k_e \frac{q_1 q_2}{r} </math>~~
	~~where <math> k_e </math> is the electrostatic constant.~~
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	~~== Electric Potential - Joules per Coulomb - Voltage ==~~
	~~Electric potential, also known as voltage, is measured in joules per coulomb (J/C). It represents the potential energy per unit charge at a point in an electric field.~~
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	== Electric Potential due to a Point Charge at Rest ==		== Electric Potential due to a Point Charge at Rest ==

Brachers: /* Introduction to Electric Potential and Energy */

2024-11-05T11:49:44Z

Introduction to Electric Potential and Energy

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	== Introduction to Electric Potential and Energy ==		== Introduction to Electric Potential and Energy ==
	Electric potential energy is the energy stored in a system of charges due to their positions in an electric field. The electric potential <math> V </math> at a point is defined as the electric potential energy per ~~unit~~ charge:		Electric potential energy is the energy stored in a system of charges due to their positions in an electric field. This is similar to gravitational potential energy, where the position of an object in a gravitational field determines its potential energy.


			The electric potential <math> V </math> at a point is defined as the electric potential energy per charge:

	<math> V = \frac{U}{q} </math>		<math> V = \frac{U}{q} </math>
	~~where~~ <math> U </math> is the electric potential energy ~~and~~ <math> q </math> ~~is the charge.~~
			If the electric potential <math> V </math> at a point is known, the electric potential energy <math> U </math> of a charge <math> q </math> placed at that point can be calculated as:

			<math> U = q \cdot V </math>

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Brachers: /* Background: The Electric Force is a Conservative Force */

2024-11-05T11:46:10Z

Background: The Electric Force is a Conservative Force

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	== Background: The Electric Force is a Conservative Force ==		== Background: The Electric Force is a Conservative Force ==
	The electric force is ~~classified as~~ a conservative force, meaning that the work done by or against the electric force depends only on the initial and final positions, not on the path taken. This ~~property~~ allows us to define the electric potential energy in an electric field as the negative of the work done by the electric force.		The electric force is a conservative force, meaning that the work done by or against the electric force depends only on the initial and final positions, not on the path taken. This allows us to define the electric potential energy <math> U </math> in an electric field as the negative of the work <math> W </math> done by the electric force:

			<math> U = -W </math>

			where <math> W </math> is the work done by the electric force to move a charge within the field.

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Brachers at 11:44, 5 November 2024

2024-11-05T11:44:33Z

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	[https://openstax.org/books/university-physics-volume-2/pages/7-introduction University Physics Volume 2: Chapter 7]		[https://openstax.org/books/university-physics-volume-2/pages/7-introduction University Physics Volume 2: Chapter 7]

	= ~~Electric Potential Videos~~ =		= Theory =
	~~== Theory ==~~
	=== Background: The Electric Force is a Conservative Force ===		== Background: The Electric Force is a Conservative Force ==
			The electric force is classified as a conservative force, meaning that the work done by or against the electric force depends only on the initial and final positions, not on the path taken. This property allows us to define the electric potential energy in an electric field as the negative of the work done by the electric force.
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			== Introduction to Electric Potential and Energy ==
	=== Introduction to Electric Potential and Energy ===		Electric potential energy is the energy stored in a system of charges due to their positions in an electric field. The electric potential <math> V </math> at a point is defined as the electric potential energy per unit charge:
			<math> V = \frac{U}{q} </math>
			where <math> U </math> is the electric potential energy and <math> q </math> is the charge.
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	=== Electric Potential Energy ===		== Electric Potential Energy ==
			Electric potential energy between two point charges <math> q_1 </math> and <math> q_2 </math> separated by a distance <math> r </math> is given by:
			<math> U = k_e \frac{q_1 q_2}{r} </math>
			where <math> k_e </math> is the electrostatic constant.
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	=== Electric Potential - Joules per Coulomb - Voltage ===		== Electric Potential - Joules per Coulomb - Voltage ==
			Electric potential, also known as voltage, is measured in joules per coulomb (J/C). It represents the potential energy per unit charge at a point in an electric field.
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	=== Electric Potential due to a point charge ===		== Electric Potential due to a Point Charge at Rest ==
			The electric potential <math> V </math> at a distance <math> r </math> from a point charge <math> Q </math> is given by:
			<math> V = k_e \frac{Q}{r} </math>
			where <math> k_e </math> is the electrostatic constant.
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	=== Electric Potential and the Electric Field - Equipotential Lines ===		== Potential Energy of a System of Charged Particles ==
			The total electric potential energy of a system of charges is the sum of the potential energies between all pairs of charges in the system. For example, for three charges, <math> q_1, q_2, </math> and <math> q_3 </math>, the potential energy is:
			<math> U = k_e \left( \frac{q_1 q_2}{r_{12}} + \frac{q_1 q_3}{r_{13}} + \frac{q_2 q_3}{r_{23}} \right) </math>

			== Electric Potential and the Electric Field - Equipotential Lines ==
			Equipotential lines represent points of equal electric potential in an electric field. They are always perpendicular to electric field lines. Moving along an equipotential line requires no work, as the electric potential remains constant.
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			== Electric Potential, Current and Power ==
			Electric potential difference, or voltage, causes current to flow in a conductor. The power <math> P </math> delivered by an electric current <math> I </math> due to a potential difference <math> V </math> is:
			<math> P = V \cdot I </math>
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	~~=== Electric Potential, Current and Power ===~~
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	== Example Problems ==		== Example Problems ==
			=== Projectile Motion ===
			Projectile motion problems involve analyzing the effects of gravity and may also consider electric forces in certain cases where charged particles move in an electric field.
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