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1)

A loop carrying current / 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

9112021824_k21.PNG


A) a2Ik

B) (π2+1)a2Ik

C) (π2+1)a2Ik

D) (2π+1)a2Ik

Answer:

Option B

Explanation:

Area of the given loop is

 A=(area of two circles of radius a2  and area ofa square of side a )

  =2π(a2)2+a2

 =(π2+1)a2

|M|=IA=(π2+1)a2I

From screw law direction of M is outwards or in positive z-direction

   M=(π2+1)a2Ik