# Magnetic field due to a dielectric sphere

There is a nice example in Griffiths where he calculated magnetic field of a spherical shell/sphere for uniform surface charge $$\sigma$$.

The argument was, since the surface current is $$K= \sigma r \omega$$, the rotation of the sphere/shell will give the surface current density. That surface current density will give the vector potential and eventually the magnetic field we want.

My question is, what if the the sphere is not conducting, like it's a dielectric how would we approach this problem?

Related post : Vector Potential of a rotating Spherical Shell