Halliday, Resnick & Walker — Electric Potential: Problem 48

48 Two isolated, concentric, conducting spherical shells have radii \(R_1 = 0.500 \text{ m}\) and \(R_2 = 1.00 \text{ m}\), uniform charges \(q_1 = +3.00 \text{ \mu C}\) and \(q_2 = +1.00 \text{ \mu C}\), and negligible thicknesses. What is the magnitude of the electric field \(E\) at radial distance (a) \(r = 4.00 \text{ m}\), (b) \(r = 0.700 \text{ m}\), and (c) \(r = 0.200 \text{ m}\)? With \(V = 0\) at infinity, what is \(V\) at (d) \(r = 4.00 \text{ m}\), (e) \(r = 1.00 \text{ m}\), (f) \(r = 0.700 \text{ m}\), (g) \(r = 0.500 \text{ m}\), (h) \(r = 0.200 \text{ m}\), and (i) \(r = 0\)? (j) Sketch \(E(r)\) and \(V(r)\).