Electrostatic potential

Electric potential of point charges

The electric potential due to a point charge is given by

and for a collection of point charges

Derivation

Since by convention, we define the zero of an Electrostatic potential field to be the point infinitely far away in which there is no electrostatic force, we can derive a scalar field for the potential at each point due to a point charge.

This is sometimes called the Coulomb potential


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