Electric Field due to Capacitor Plates

[Keano16]

Homework Statement

A capacitor consists of two plane parallel plates, separated by a distance d. The space in between is filled with a uniform charge density J. Find the electric field at a point x away from the positive plate when a potential difference V is applied.

Homework Equations

The Attempt at a Solution

I am finding it difficult to locate this point in the setup -- as in, whether it is located outside to plates or inside. I am assuming that it is the latter. I know that the field produced by an infinite plate is (charge density)/2*epsilon_o, but none of my calculations give me something that matches the answer, which happens to be:

V/d - J*(d-2x)/(2*epsilon_o)


Any help would be great.

 

[Gear300]

There is a uniform charge distribution (which probably means the distribution is not a conductor) between the capacitor plates. Thus, the net electric field between the plates is E = E₀ - E_ind. E₀ would be the electric field without the charge distribution in between (which probably correlates to the V/d in the expression) and E_ind is the electric field induced by the charge distribution.