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
- Aq v R 2
- Bq v R^2
- Cq R^2 2
- 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