There is a very large horizontal conducting plate in the x−y plane (consider it infinitely large). Its thickness is h. The charge densities on the upper and the lower surfaces are both equal to +σ.

Question

What is the magnitude of the electric field? Express your answer in terms of, if necessary, σ, h and the constant ϵ0.

(b) Consider now a point 3h below the lower surface. What is the direction of the electric field?

(c) Consider now a point h/4 below the top surface.
What is the magnitude of the electric field? Express your answer in terms of, if necessary, σ, h and the constant ϵ0.

Answer 1

a-sigma/epsilon_0
b-sigma/epsilon_0
c-0.