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Q.

A square having side length 0.5m is made of thin metallic wire is lying in xy-plane and it is carrying a current 5A. In that region a magnetic field of induction B→=2i^+j^μT exists. Then the magnitude of work to be done by an external agent in rotating the square ring through an angle of 90o about edge BC is

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a

5.2 μJ

b

2.5 μJ

c

5 μJ

d

7.5 μJ

answer is B.

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Detailed Solution

Initial magnetic dipole moment of the square, M1→=5 x 0.52 k^ A-m2Final magnetic moment, M2→=5 x 0.52 i^ A-m2∴Ui=Initial potential energy =-M1→.B→=0and Uf=Final potential energy =-M2→.B→=-2 x 1.25μJ=-2.5 μJ∴W=Uf-Ui=2.5μJ
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