W9_parallel_resonance.eps

Week 2: Continuous Charge and Gauss’s Law 97

Problem 5.

a

b

ρ 0

A thick, nonconducting spherical shell of inner radiusaand outer radiusbhas a uniform volume
charge densityρ(r) =ρ 0.

a) Find the total charge of the shell.

b) Find the electric field everywhere.

Problem 6.

An infinitely long nonconducting cylindricalshellof inner radiusaand outer radiusbcarries a
uniform volume charge densityρ(r) =ρ 0.

a) Find the electric field everywhere.

b) Leta= 0. Find the electric field (now that of a uniform cylinder of charge) everywhere.