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Question

A hollow sphere of radius r=20 cm and mass m=1 kg has a charge of Q=1 C distributed uniformly over its surface. If the sphere is rotated about a diameter with an angular speed ω=30 rad/s then its magnetic moment is measured to be 10x Am2. Find x



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Solution

Magnetic moment of the uniformly distributed hollow sphere rotating about its diameter is given by μ=Qωr23 From the data given in the question,

μ=1×30×(0.2)23=0.4 Am2

Comparing with the data given in the question, 10x=0.4x=0.04

Accepted answer : 0.04

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