Halliday, Resnick & Walker — Gauss' Law: Problem 50

50 Flux and conducting shells. A charged particle is held at the center of two concentric conducting spherical shells. Figure 23-48a shows a cross section. Figure 23-48b 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 \(\Phi_s = 10 \times 10^5 \text{ N}\cdot\text{m}^2/\text{C}\). What are (a) the charge of the central particle and the net charges of (b) shell A and (c) shell B?