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Question

A particle with charge q is moving along a circle of radius R with uniform speed V. The associated magnetic moment is given by:
  1. 12V2R
  2. 14qVR
  3. 12qVR
  4. 12q2VR

A
12V2R
B
14qVR
C
12qVR
D
12q2VR
Solution
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Current flowing through the loop I=qV2πR
Area of the circular loop A=πR2
Magnetic moment μ=IA
μ=qV2πR×πR2=12qVR

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