Classical Electrodynamics · Problem 5.13

Maxwell Equations, Macroscopic Electromagnetism, Conservation Laws — John David Jackson

Physics — E&M · rotating-charged-sphere-vector-potential

Problem

A sphere of radius

a

carries a uniform surface-charge distribution

\sigma

. The sphere is rotated about a diameter with constant angular velocity

\omega

. Find the vector potential and magnetic-flux density both inside and outside the sphere.