Walker, Halliday & Resnick — Gauss' Law: Problem 29

29 In Fig. 23-36, a solid sphere of radius \(a = 2.00 \text{ cm}\) is concentric with a spherical conducting shell of inner radius \(b = 2.00a\) and outer radius \(c = 2.40a\). The sphere has a net uniform charge \(q_1 = +2.00 \text{ fC}\); the shell has a net charge \(q_2 = -q_1\). What is the magnitude of the electric field at radial distances (a) \(r = 0\), (b) \(r = a/2.00\), (c) \(r = a\), (d) \(r = 1.50a\), (e) \(r = 2.30a\), and (f) \(r = 3.50a\)? What is the net charge on the (g) inner and (h) outer surface of the shell?