Chapter 22, Problem 22.58P

A very long, solid insulating cylinder has radius R; bored along its entire length is a cylindrical hole with radius a. The axis of the hole is a distance b from the axis of the cylinder, where a < b < R (Fig. P22.58). The solid material of the cylinder has a uniform volume charge density ρ. Find the magnitude and direction of the electric field $\stackrel{\to }{\text{E}}$ inside the hole, and show that $\stackrel{\to }{\text{E}}$ is uniform over the entire hole. (Hint: See Problem 22.57.)

Figure P22.58