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A Spinning Ball: What is the magnetic field inside and outside a uniformly charged solid ball...

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.

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