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JEE Advanced2012PhysicsMagnetic Effects of CurrentActual

A loop carrying current I lies in the x-y plane as shown in the figure. The unit vector k is coming out of the plane of the paper. The magnetic moment of the current loop is

Options

  1. Aa² I k
  2. B( 2 +1 ) a² I k
  3. C- ( 2 +1 ) a² I k
  4. D(2 +1) a² I k

Correct answer

B. ( 2 +1 ) a² I k

Step-by-step solution

Magnetic moment of a current carrying loop M =N I A Here N=1, A=a²+2 ( a 2 )²=a² [1+ 2 ] From Screw law, direction of m is outward or in +ve z-direction. M =I a² [1+ 2 ] k

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