Sign In

24.1 : Electric Potential Energy

When an electric field accelerates a free positive charge q, it is given kinetic energy. The process is analogous to an object accelerated by a gravitational field as if the charge were going down an electrical hill where its electric potential energy is converted into kinetic energy. Of course, the sources of the forces are very different. The work done on a charge q by the electric field in this process helps to develop a definition of electric potential energy.

The electrostatic or Coulomb force is conservative, which means that the work done on q is independent of the path taken. This is exactly analogous to the gravitational force. When a force is conservative, it is possible to define the potential energy associated with the force. It is usually easier to work with the potential energy because it depends only on position than to calculate the work directly.

When a conservative force does negative work, the system gains potential energy. But when a conservative force does positive work, the system loses potential energy. For conservative forces, the change in potential energy is compensated by the change in the kinetic energy such that the total energy of the system remains constant.

For the system of like charges, the potential energy of the system decreases when charges move away from each other. On the other hand, for the system of opposite charges, the potential energy of the system decreases when charges move toward each other.

Tags
Electric Potential EnergyElectric FieldPositive ChargeKinetic EnergyGravitational ForceConservative ForceCoulomb ForceWork DonePotential Energy ChangeSystem Energy ConservationLike ChargesOpposite Charges

From Chapter 24:

article

Now Playing

24.1 : Electric Potential Energy

Electric Potential

4.7K Views

article

24.2 : Electric Potential Energy in a Uniform Electric Field

Electric Potential

3.9K Views

article

24.3 : Electric Potential Energy of Two Point Charges

Electric Potential

3.9K Views

article

24.4 : Electric Potential and Potential Difference

Electric Potential

3.8K Views

article

24.5 : Finding Electric Potential From Electric Field

Electric Potential

3.6K Views

article

24.6 : Calculations of Electric Potential I

Electric Potential

1.6K Views

article

24.7 : Calculations of Electric Potential II

Electric Potential

1.4K Views

article

24.8 : Equipotential Surfaces and Field Lines

Electric Potential

3.3K Views

article

24.9 : Equipotential Surfaces and Conductors

Electric Potential

3.1K Views

article

24.10 : Determining Electric Field From Electric Potential

Electric Potential

4.2K Views

article

24.11 : Poisson's And Laplace's Equation

Electric Potential

2.3K Views

article

24.12 : Van de Graaff Generator

Electric Potential

1.5K Views

article

24.13 : Energy Associated With a Charge Distribution

Electric Potential

1.3K Views

article

24.14 : Electrostatic Boundary Conditions

Electric Potential

285 Views

article

24.15 : Second Uniqueness Theorem

Electric Potential

811 Views

JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved