Question

A region of space has constant charge density, p. Assume that the region is infinite in the x-y plane and of height d. Given that d is negligible, use Coulomb's law to find the electric field above and below the z-axis.

Answer 1

Above:

$$\vec{E}=\frac{\rho}{\epsilon_0}\vec{a_z}$$

Below:

$$\vec{E}=-\frac{\rho}{\epsilon_0}\vec{a_z}$$