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Q.

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

(π2+1)a2Ik^

b

(π2+1)a2Ik^

c

(2π+1)a2Ik^

d

a2Ik^

answer is B.

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Detailed Solution

 Area  =a2+4×π(a2)22=a2+πa22
 A=(1+π2)a2k^
Magnetic dipole moment  μ=iλ=i(1+π2)a2k^

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