A compact insulating sphere of radial a has a constant load density and a total load Q .

A compact insulating sphere of radial a has a constant load density ρ and a total load Q. The sphere is encompassed by a concentric uncharged, conductive hollow spherical surface, with inner radius b and outer c. (a) Find the intensity of the electric field in the areas r <α, α <r <b, b <r <c and r> c. (b) Determine the inductive surface load on the inner and outer surface of the hollow sphere.