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Question: A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associate ...

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associate magnetic moment µ is given by-

A

qvR2

B

qvR2/2

C

qvRQ

D

qvR/2

Answer

qvR/2

Explanation

Solution

i = qf = qv2πR\frac { \mathrm { qv } } { 2 \pi \mathrm { R } }

\ M = iA = qv2πR\frac { \mathrm { qv } } { 2 \pi \mathrm { R } } × pR2

\ M = qvR2\frac { q v R } { 2 }