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.