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Electric potential energy | Electrostatics | Electrical engineering | Khan Academy

Published: 2008/05/23

Channel: Khan Academy

Physics 12.4.1a - Electric Potential and Potential Difference

Published: 2009/04/06

Channel: Derek Owens

Physics - Electrical Potential and Electrical Potential Energy (1 of 6)

Published: 2013/02/24

Channel: Michel van Biezen

Finally, a Useful Explanation of Electric Potential with Analogy to Gravity | Doc Physics

Published: 2013/01/08

Channel: Doc Schuster

Electric Potential: Visualizing Voltage with 3D animations

Published: 2015/06/03

Channel: Physics Videos by Eugene Khutoryansky

Potential, Potential Difference, and Voltage

Published: 2010/01/04

Channel: lasseviren1

Point Charges: Electric Potential An Explanation

Published: 2014/05/02

Channel: Step-by-Step Science

Electric Potential, Current, and Resistance

Published: 2017/04/12

Channel: Professor Dave Explains

Voltage, Electric Energy, and Capacitors: Crash Course Physics #27

Published: 2016/10/14

Channel: CrashCourse

Electric potential at a point in space | Physics | Khan Academy

Published: 2014/08/08

Channel: khanacademymedicine

Electric Potential

Published: 2010/09/10

Channel: Brightstorm

8.02x - Lect 4 - Electrostatic Potential, Electric Energy, Equipotential Surfaces

Published: 2015/02/13

Channel: Lectures by Walter Lewin. They will make you ♥ Physics.

Hewitt-Drew-it! PHYSICS 90. Electric Potential

Published: 2013/08/02

Channel: mellenstei

18. Electric Potential (Hindi)

Published: 2017/02/02

Channel: Ignited Minds

Electric Potential

Published: 2012/08/23

Channel: tone22310

Electric Potential and Potential Energy | for Class 12 in HINDI

Published: 2017/05/27

Channel: EduPoint

XII-1-12. Electric Potential (2015) Pradeep Kshetrapal Physics

Published: 2015/04/25

Channel: Pradeep Kshetrapal

Electric Potential

Published: 2014/07/19

Channel: Matt Anderson

Electric Potential Equations | Doc Physics

Published: 2013/01/07

Channel: Doc Schuster

Electric Potential Difference Point Charge - Voltage, Work, Force, Kinetic Potential Energy Physics

Published: 2016/09/24

Channel: The Organic Chemistry Tutor

ELECTRIC POTENTIAL

Published: 2017/01/16

Channel: 7activestudio

Electric Field and Electric Potential

Published: 2013/11/22

Channel: AK LECTURES

Electric Potential explained in Urdu

Published: 2016/09/25

Channel: Sabaq Foundation

Physics - E&M: Electric Potential (12 of 22) Potential In-, On, & Outside a Spherical Conductor

Published: 2014/10/10

Channel: Michel van Biezen

Electric Potential Energy - Charges on a Triangle

Published: 2013/06/04

Channel: Cyrus Vandrevala

Class 10 Science - Physics - What is electric potential ?

Published: 2016/07/21

Channel: Avanti Gurukul

Electric potential and potential difference

Published: 2014/06/14

Channel: smartschoolonline

|ELECTRIC POTENTIAL.| |POTENTIAL DIFFERENCE| (HINDI)

Published: 2017/05/08

Channel: knowledge world

Electric Potential

Published: 2014/04/05

Channel: sardanatutorials

Electricity - Potential Difference : Class 10 X Science (Physics)

Published: 2014/08/23

Channel: Dronstudy.com

Point Charges: Electric Potential Difference

Published: 2014/05/03

Channel: Step-by-Step Science

Physics - Electrical Potential and Electrical Potential Energy (6 of 6)

Published: 2013/02/24

Channel: Michel van Biezen

Electric Potential Energy and Potential Part 1 - IIT JEE Main and Advanced Physics Video Lecture

Published: 2014/06/28

Channel: Rao IIT Academy

How to get electric field from electric potential

Published: 2016/10/09

Channel: Matt Anderson

Electric potential energy of charges | Physics | Khan Academy

Published: 2016/07/29

Channel: Khan Academy Physics

5. The Electric Potential and Conservation of Energy

Published: 2011/03/22

Channel: YaleCourses

Electric Potential of a point | video in HINDI | हिंदी

Published: 2016/04/16

Channel: EduPoint

Electric Potential Energy of a Charge at a Point | video in HINDI | हिंदी | EduPoint

Published: 2016/04/14

Channel: EduPoint

Physics part II chapter 12 Electric potential

Published: 2016/11/12

Channel: PGC Lectures

XII_8.Elect.Potential-1.mp4

Published: 2012/04/11

Channel: Pradeep Kshetrapal

ELECTRIC POTENTIAL AND POTENTIAL DIFFERENCE

Published: 2016/04/02

Channel: 7activestudio

Electric potential due to a point charge(Electrostatic potential Lec: 6)

Published: 2017/05/20

Channel: Anshu Kapoor

Electric Potential Difference

Published: 2013/11/21

Channel: AK LECTURES

JEE Main Physics- Basic Problems On Electric Field And Electric Potential

Published: 2014/04/04

Channel: sardanatutorials

AP Physics C - Electrical Potential

Published: 2013/01/15

Channel: Dan Fullerton

Electric potential energy (part 2-- involves calculus) | Physics | Khan Academy

Published: 2008/05/23

Channel: Khan Academy

Electric Potential Energy in a Uniform Electric Field, Physics Problems

Published: 2017/02/06

Channel: The Organic Chemistry Tutor

Physics - Electrical Potential and Electrical Potential Energy (2 of 6)

Published: 2013/02/24

Channel: Michel van Biezen

IB Physics: Electric Potential

Published: 2015/02/04

Channel: Chris Doner

XII_6.Potential difference, Intro(2013)

Published: 2013/04/07

Channel: Pradeep Kshetrapal

This article includes a list of references, but its sources remain unclear because it has insufficient inline citations. (April 2008) (Learn how and when to remove this template message) |

An **electric potential** (also called the *electric field potential* or the *electrostatic potential*) is the amount of work needed to move a unit positive charge from a reference point to a specific point inside the field without producing any acceleration. Typically, the reference point is *Earth* or a point at *Infinity*, although any point beyond the influence of the electric field charge can be used.

According to classical electrostatics, electric potential is a scalar quantity denoted by *V*, equal to the electric potential energy of any charged particle at any location (measured in joules) divided by the charge of that particle (measured in coulombs). By dividing out the charge on the particle a remainder is obtained that is a property of the electric field itself.

This value can be calculated in either a static (time-invariant) or a dynamic (varying with time) electric field at a specific time in units of joules per coulomb (J C^{−1}), or volts (V). The electric potential at infinity is assumed to be zero.

A generalized electric scalar potential is also used in electrodynamics when time-varying electromagnetic fields are present, but this can not be so simply calculated. The electric potential and the magnetic vector potential together form a four vector, so that the two kinds of potential are mixed under Lorentz transformations.

Classical mechanics explores concepts such as force, energy, potential etc. Force and potential energy are directly related. A net force acting on any object will cause it to accelerate. As an object moves in the direction in which the force accelerates it, its potential energy decreases: the gravitational potential energy of a cannonball at the top of a hill is greater than at the base of the hill. As it rolls downhill its potential energy decreases, being translated to motion, inertial (kinetic) energy.

It is possible to define the potential of certain force fields so that the potential energy of an object in that field depends only on the position of the object with respect to the field. Two such force fields are the gravitational field and an electric field (in the absence of time-varying magnetic fields). Such fields must affect objects due to the intrinsic properties of the object (e.g., mass or charge) and the position of the object.

Objects may possess a property known as electric charge and an electric field exerts a force on charged objects. If the charged object has a positive charge the force will be in the direction of the electric field vector at that point while if the charge is negative the force will be in the opposite direction. The magnitude of the force is given by the quantity of the charge multiplied by the magnitude of the electric field vector.

The electric potential at a point **r** in a static electric field **E** is given by the line integral

where *C* is an arbitrary path connecting the point with zero potential to **r**. When the curl **∇** × **E** is zero, the line integral above does not depend on the specific path *C* chosen but only on its endpoints. In this case, the electric field is conservative and determined by the gradient of the potential:

Then, by Gauss's law, the potential satisfies Poisson's equation:

where *ρ* is the total charge density (including bound charge) and **∇**· denotes the divergence.

The concept of electric potential is closely linked with potential energy. A test charge *q* has an electric potential energy *U*_{E} given by

The potential energy and hence also the electric potential is only defined up to an additive constant: one must arbitrarily choose a position where the potential energy and the electric potential are zero.

These equations cannot be used if the curl **∇** × **E** ≠ 0, i.e., in the case of a *nonconservative electric field* (caused by a changing magnetic field; see Maxwell's equations). The generalization of electric potential to this case is described below.

The electric potential created by a point charge *Q*, at a distance *r* from the charge (relative to the potential at infinity), can be shown to be

where *ε*_{0} is the dielectric constant (permittivity of vacuum). This is known as the Coulomb potential.

The electric potential due to a system of point charges is equal to the sum of the point charges' individual potentials. This fact simplifies calculations significantly, since addition of potential (scalar) fields is much easier than addition of the electric (vector) fields.

The equation given above for the electric potential (and all the equations used here) are in the forms required by SI units. In some other (less common) systems of units, such as CGS-Gaussian, many of these equations would be altered.

When time-varying magnetic fields are present (which is true whenever there are time-varying electric fields and vice versa), it is not possible to describe the electric field simply in terms of a scalar potential *V* because the electric field is no longer conservative: is path-dependent because (Faraday's law of induction).

Instead, one can still define a scalar potential by also including the magnetic vector potential **A**. In particular, **A** is defined to satisfy:

where **B** is the magnetic field. Because the divergence of the magnetic field is always zero due to the absence of magnetic monopoles, such an **A** can always be found. Given this, the quantity

*is* a conservative field by Faraday's law and one can therefore write

where *V* is the scalar potential defined by the conservative field **F**.

The electrostatic potential is simply the special case of this definition where **A** is time-invariant. On the other hand, for time-varying fields,

unlike electrostatics.

The SI derived unit of electric potential is the volt (in honor of Alessandro Volta), which is why a difference in electric potential between two points is known as voltage. Older units are rarely used today. Variants of the centimeter gram second system of units included a number of different units for electric potential, including the abvolt and the statvolt.

Inside metals (and other solids and liquids), the energy of an electron is affected not only by the electric potential, but also by the specific atomic environment that it is in. When a voltmeter is connected between two different types of metal, it measures not the electric potential difference, but instead the potential difference corrected for the different atomic environments.^{[1]} The quantity measured by a voltmeter is called electrochemical potential or fermi level, while the pure unadjusted electric potential is sometimes called Galvani potential. The terms "voltage" and "electric potential" are a bit ambiguous in that, in practice, they can refer to *either* of these in different contexts.

- Absolute electrode potential
- Electrochemical potential
- Electrode potential
- Gluon field
- Liénard–Wiechert potential
- Mathematical descriptions of the electromagnetic field
- Voltage, or (electric) potential difference

**^**Bagotskii VS (2006).*Fundamentals of electrochemistry*. p. 22. ISBN 978-0-471-70058-6.

- Politzer P, Truhlar DG (1981).
*Chemical Applications of Atomic and Molecular Electrostatic Potentials: Reactivity, Structure, Scattering, and Energetics of Organic, Inorganic, and Biological Systems*. Boston, MA: Springer US. ISBN 978-1-4757-9634-6. - Sen K, Murray JS (1996).
*Molecular Electrostatic Potentials: Concepts and Applications*. Amsterdam: Elsevier. ISBN 978-0-444-82353-3. - Griffiths DJ (1998).
*Introduction to Electrodynamics*(3rd. ed.). Prentice Hall. ISBN 0-13-805326-X. - Jackson JD (1999).
*Classical Electrodynamics*(3rd. ed.). USA: John Wiley & Sons, Inc. ISBN 978-0-471-30932-1. - Wangsness RK (1986).
*Electromagnetic Fields*(2nd., Revised, illustrated ed.). Wiley. ISBN 978-0-471-81186-2.

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