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A charged particle (charge q) is moving...

A charged particle (charge `q`) is moving in a circle of radius `R` with unifrom speed `v`. The associated magnetic moment `mu` is given by

A

`1/2 qvR`

B

qvR

C

`(qv)/(R )`

D

`qv^(2) R`

Text Solution

Verified by Experts

The correct Answer is:
A
When a charged particles moves in a circle of radius R with a speed v its period T is given by T =`I(2piR)/(V)`
A charge moving in a circle is equivalent to a current
`I=(q)/(T)=(q)/(2piR/(v))=(qv)/(2piR)`
The magnetic moment associated with a charged particle is givne by M=iA =`ipiR^(2)=(qv)/(2piR)xxpiR^(2)`
`therefore M=1/2 qvR`
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