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A total charge Q is distributed uniformly throughout a sphere of radius a. The sphere is...

A total charge Q is distributed uniformly throughout a sphere of radius a. The sphere is then rotated with constant angular speed w about a diameter. Assume the charge distribution is unaffected by the rotation, and find J(volume current density) everywhere within the sphere. (Express it in spherical coordinates with the polar axis coinciding with the axis of rotation.) Find the total current passing through a semicircle of radius a fixed in space with its base on the axis of rotation

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