Halliday, Resnick & Walker — Gauss' Law: Problem 54

54 Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure 23-49a shows a cross section. Figure 23-49b gives the net flux \(\Phi\) through a Gaussian sphere centered on the particle, as a function of the radius \(r\) of the sphere. The scale of the vertical axis is set by \(\Phi_s = 10 \times 10^5 \text{ N}\cdot\text{m}^2/\text{C}\). (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B?