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A sphere of radius R has a uniform voume...

A sphere of radius R has a uniform voume charge density. Determine the magnetic dipole moment of the sphere when it rotates as a rigid body with angular speed `omega` about an axis through its centre. The total charge of the sphere is q.

A

`(2q)/(3)R^(2) omega`

B

`(q)/(3)R^(2) omega`

C

`(2q)/(5)R^(2) omega`

D

`(q)/(5)R^(2) omega`

Text Solution

Verified by Experts

The correct Answer is:
D
If the sphere has a uniform mass density (total mass m), then `(mu)/(L) = (q)/(2 m)`, where `L = (2)/(5)mR^(2) omega`
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