An infinite plane of uniform dielectric with permittivity a is uniformly charged with extraneous charge of space density ρ. The thickness of the plate is equal to 2d. Find:
(a) the magnitude of the electric field strength and the potential as functions of distance l from the middle point of the plane (where the potential is assumed to be equal to zero); having chosen the x coordinate axis perpendicular to the plate, draw the approximate plots of the projection Ex(x) of the vector E and the potential φ (x);
(b) the surface and space densities of the bound charge.
