A Spinning Ball: What is the magnetic field inside and outside auniformly charged solid ball (total charge ?, radius ?) spinningabout its axis with angular velocity ? Ì‚?? Do this three ways:
(a) Set up a Biot-Savart-style integral to determine the fieldat any location. (Do not solve this integral, but make allquantities explicit.)
(b) Simplify your integral using a location along the axis ofrotation: ? = ? Ì‚? or ? = 0. Solve for ? inside and outside.
(c) Use your result to determine where along the ? axis themagnetic field is the strongest.
