A solid conducting sphere of radius R1 has a total net charge –Q (negative Q). A conducting spherical shell of inner radius R2 and outer radius R3 is concentric with the solid sphere and has a net charge of +Q. Let r be the distance from the center of the sphere, and choose electric potential V = 0 at r → ∞ .

(1) Find the distribution of the charges on ALL the surfaces.

(2) Find the electric field distribution E (r) in space at

(a)r < R1,

(b) R1 < r < R2,

(c) R2 < r < R3,

(d)r > R3.

(3) Find the electric potential distribution V (r) in space at

(d)r > R3.

(e) r < R1