Question #d9695

Mar 24, 2017

The difference in values of electric potential between any two points is called the potential difference between the two points.

Explanation:

Owing to it's irrotational nature (i.e. $\nabla X \vec{E} = 0$), the Electrostatic field can be expressed as a gradient of a scalar potential function.

Thus, $\vec{E} = - \nabla V$ where $V$ is the potential function and the - sign is introduced for convenience and consistency.

Thus, the potential function can have various values in various points in space.

If ${V}_{A}$ and ${V}_{B}$ be values of the potential at A and B respectively, the potential difference would be,

${V}_{A} - {V}_{B}$