Question

Is electric potential zero when an electric field is zero?

Answer 1

Explanation:

1. From equation, $E=\frac{-dV}{dr}$,
2. About the equation: $E=-V$ which is particularly true in electrostatics because $V$ is a scalar field, it functions to give each point in space a scalar value.
3. Every point in space is given a vector by the vector field $E$.
4. Therefore, position affects both the electric field and the potential. More concrete examples of this include: $E\left(r\right)=-V\left(r\right)$, where $r$ is a vector of position, $E$ is electric force and $V$ is potenta ial difference.
5. The gradient must be zero everywhere if $V\left(r\right)=0$ for every $r$, and the electric field must also be zero everywhere if this is the case.

Hence, the electric potential is not zero when the electric field Is zero.