Question

Find the magnetic field inside a uniformly charged sphere of total charge q and radius r that is rotating at a constant angular velocity

Answer 1

Deriving the answer to this question can get involved. I am giving the formula only and am assuming you are looking for the magnetic field B at the center point of the sphere. If the sphere rotates with angular velocity along, say, z axis, then the formula for B is as follows:

`\vec B_0=(2)/(3)\mu r q \vec \omega`

(with mu the magnetic permeability)