If a thin spherical shell of radius r and charge q is kept inside a thick spherical shell of inner radius 2r, outer radius 3r, and total charge 2q. (a) Find the charge distribution on each surface. (b) Find the self-energy of each charge distribution. (c) Find the total electrostatic energy stored in the system.

Explanation

(a) `0, q, -q, 3q,` (b) `0, (kq^2)/(2 R) , (kq^2)/( 4 R), ( 3kq^2)/(2 R),` (c ) `(7q^2)/(16 pi epsilon_(0) R)`