Halliday, Resnick & Walker — Gauss' Law: Problem 55

55 Figure 23-50 is a section of a conducting rod of radius \(R_1 = 1.30 \text{ mm}\) and length \(L = 11.00 \text{ m}\) inside a thin-walled coaxial conducting cylindrical shell of radius \(R_2 = 10.0 R_1\) and the (same) length \(L\). The net charge on the rod is \(Q_1 = -5.22 \times 10^{-13} \text{ C}\); that on the shell is \(Q_2 = -2.00 Q_1\). What are the (a) magnitude \(E\) and (b) direction (radially inward or outward) of the electric field at radial distance \(r = 2.00 R_2\)? What are (c) \(E\) and (d) the direction at \(r = 5.00 R_1\)? What is the charge on the (e) interior and (f) exterior surface of the shell?