A spherical insulator, of radius a, has a total charge of -4q distributed evenly throughout its volume. A conducting shell, inner radius b and outer radius c, surrounds the spherical insulator. This conducting shell has a charge of +q on its outer surface. A larger insulating shell, inner radius d and outer radius e, has a uniform charge density -a throughout its volume.
a. Determine the total charge of the conducting shell.
b. Determine the total charge of the insulating shell.
c. Determine the electric field everywhere (at all points in space).