A solid, conducting sphere of radius a carries an excess charge of +6 microC. This sphere is located at the center of a hollow conducting sphere with an inner radius of b and on outer radius of c. The hollow sphere, by itself, carries a total excess charge of +6 microC spread over its two surfaces.
a.) Determine the excess charge on the inner surface of the outer sphere (a distance b from the center of the system).
b.) Determine the excess charge on the outer surface of the outer sphere (a distane c from the center of the system).