# Infinite parallel plates have the same electric field between no matter the distance?

I saw this in a lecture about gausses law in application to infinite charged planes:

How is it possible that the electric field above the top plane and below the bottom plane is always zero, given that the effect of each plane near its outside surface contributes to the electric field much more than the other plate according to Coulombs Law?

Also, how is it possible that the electric field stays constant between the two assuming they are infinite planes no matter the distance between them by the same principle?

(I assume this deals with the effectively infinite contribution in the +i and -i direction of each individual charged particle.)

Can someone give a more detailed explanation of this?

• You state "given that the effect of each plane near its outside surface contributes to the electric field much more than the other plate" but this is not a given. It may indeed surprise. Aug 6, 2019 at 23:29

$$V(r) = \frac{1}{4\pi\epsilon_0} \int_{plane}\frac{\sigma dA}{r}$$