Consider a solid sphere of radius \( r \) and mass \( m \) which has a charge \( q \) distribute...

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Consider a solid sphere of radius \( r \) and mass \( m \) which has a charge \( q \) distributed uniformly over its volume. The sphere is rotated about a diameter with an angular speed \( \omega \). Show that the magnetic moment \( \mu \) and the angular momentum \( l \) of the sphere are related as \( \mu=\frac{q}{2 m} l \).
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