Question

An infinitely long cylindrical insulating shell of inner radius a and outer radius b has a uniform volume charge density ρ. A line of uniform linear charge density λ is placed along the axis of the shell. Determine the electric field intensity everywhere. (Use epsilon_0 for ε0, lambda for λ, rho for ρ, a, b, and r as necessary.)

Answer 1

Use the fact that the problem has a cylindrical symmetry together with Gauss's law for the electrostatic field to determine E as a function of distance from the axis.