Question

If the electric potential at a point is zero should the electric intensity also be zero?

Answer 1

Electric potential:

The relation between the electric field intensity and the electric potential is given as:

$E=-\frac{dV}{dr}$

Where E is the electric field, V is the electric potential and r is the location of the point.

$$\begin{gathered} V=0 \\ E=\frac{-d\left(0\right)}{dr} \\ E=0 \\ V=\int -E.dr \end{gathered}$$

Thus we see that if $V=0\Rightarrow E=0$.

It is the electric field's integral (line) = electric potential.

Therefore, if the electric potential at a point is zero, the electric intensity is also zero.