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.

Options

A. `(2q)/(3)R^(2) omega`
B. `(q)/(3)R^(2) omega`
C. `(2q)/(5)R^(2) omega`
D. `(q)/(5)R^(2) omega`

Answer

D

Explanation

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