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## Homework Statement

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 the diameter with an angular speed ω. Show that magnetic moment μ and the angular momentum l of the sphere is related as,

μ=ql/2m

## Homework Equations

## The Attempt at a Solution

I know that μ=ql/2m is a general result and q/2m is gyromagnetic ratio and is same for every body of given charge distribution, mass and angular speed and is independent of the shape.

But how to derive it for solid sphere ?

Angular momentum=l=Iω=2mr

^{2}ω/5

Now to find magnetic moment:

μ=i

_{eq}A

How to proceed after this ??

Please help !!

Thanks in advanced... :)