Answer to Question #269866 in Field Theory for Felix

Question

Prove that electric field and electric potential are connected by the formula E=V/r

Answer 1

The potential of an electric field of a point charge is given by

$$V=k\frac{q}{r}$$

The strength of an electric field of a point charge is given by

$$E=k\frac{q}{r^2}$$

Hence

$$E=\frac{V}{r}$$