Chapter 22 Problem 30

Problem

Non-conducting sphere with a charge inside

A nonconducting sphere has a spherical cavity of radius $r_{1}$ centered at the sphere’s center. Assuming the charge $Q$ is distributed uniformly in the “shell” (between $r=r_{1}$ and $r=r_{0}$ ), determine the electric field as a function of $r$ for

(a) $0<r<r_{1}$

(b) $r_{1}<r<r_{0}$

(c) $r>r_{0}$