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A charge q is circulating with consta...

A charge q is circulating with constant speed v in a semicular loop of wire of radius R the magnetic moment of this loop is

A

`M prop n^(2)`

B

`Mprop (1)/(n)`

C

`M prop (1)/(n^(2))`

D

`M prop n`

Text Solution

Verified by Experts

The correct Answer is:
B
`Time(t)=("Distance travelled")/("velocity")`
`=(2R +piR)/("velocity")("v")=(R (pi+2))/(v)`

`I=(q)/(t)=(qv)/(R(pi+2))`

`therefore M=IxxA=(qv)/(R(pi+2))xx(piR^(2))/(2)=(pi Rqv)/(2(pi+2))`
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