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A thin circular disk of radius R is unif...

A thin circular disk of radius R is uniformly charged with density `sigmagt0` per unit area. The disk rotates about its axis with a uniform angular speed . The magnetic moment of the disk is :

A

`piR^(4)sigmaomega`

B

`(piR^(4))/2sigmaomega`

C

`(piR^(4))/4sigmaomega`

D

`2piR^(4)sigmaomega`

Text Solution

Verified by Experts

The correct Answer is:
3
`q/(2M)"Magnetic dipole moment "/"Angular momentum"`
`therefore "Magnetic dipole moment"(M)`
`M=q/(2M)=((MR^(2))/2)omega=1/4sigma.piR^(4)omega`
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