Answer to Question #174835 in Electricity and Magnetism for Hallie allen

Question

Consider a region without charges, where the electric field lines inside this region are all continuous and parallel. Is it possible to find two points with different electric field intensity E? Use fundamental properties of electric fields to make your argument.

Answer 1

It is not possible to find two points where the electric field is different because if the electric field varies as the electric field lines density varies, but here the electric field line densities are constant at every point, it means electric field at every points remains constant.