In: Physics
A Spinning Ball: What is the magnetic field inside and outside a uniformly charged solid ball (total charge ?, radius ?) spinning about its axis with angular velocity ? ̂?? Do this three ways:
(a) Set up a Biot-Savart-style integral to determine the field at any location. (Do not solve this integral, but make all quantities explicit.)
(b) Simplify your integral using a location along the axis of rotation: ? = ? ̂? or ? = 0. Solve for ? inside and outside.
(c) Use your result to determine where along the ? axis the magnetic field is the strongest.