13. (20 points) A solid non-conducting sphere of radius R, is uniformly charged with volume charge density p. It is surrounded by a spherical metal shell of inner radius R and outer radius R, which has total electric charge Q. If the centers of the two spheres are displaced from each other by a distance d, where d < (R - R). R, R R a) What is the total electric charge 4, on the non-conducting sphere? b) What is the electric charge q, on the inner surface of the metal shell? c) What is the surface charge density o on the outer surface of the metal shell? d) What is the total charge q, on the outer surface of the metal shell? e) What is the electric field inside the bulk of the metal shell, i.e. at points with radius between R and R,? f) What is the electric field outside the metal shell?