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NEET2009PhysicsMagnetic Effects of CurrentActual

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

Options

  1. Aq v R 2
  2. Bq v R^2
  3. Cq R^2 2
  4. Dq v R

Correct answer

A. q v R 2

Step-by-step solution

As revolving charge is equivalent to a current, so aligned & I=q f=q 2 But & = v R aligned where R is radius of circle and v is uniform speed of charged particle. Therefore, I= q v 2 R Now, magnetic moment associated with charged particle is given by or aligned & =I A=I R^2 or & = q v 2 R R^2 & = 1 2 q v R aligned

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