Given the surface charge density, s = 2C/m 2 , existing in the region < 0.2 m, z = 0, find E at

Given the surface charge density, ρ_s = 2μC/m², existing in the region ρ < 0.2 m, z = 0, find E at

(a) P_A(ρ = 0, z = 0.5);

(b) P_B(ρ = 0, z = − 0.5). Show that

(c) The field along the z axis reduces to that of an infinite sheet charge at small values of z;

(d) The z axis field reduces to that of a point charge at large values of z.