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Q.

A rectangular coil ABCD carrying a current of 2A is placed in a uniform magnetic field of induction magnetic field of induction B = 2 T in a gravity free space. Length Ab = CD = 4 m and length BC = Ad = 3 m. Then tensions induced in the sides AB and BC are respectively.

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a

8 N, 16 N

b

12 N, 16 N

c

8 N, 4 N

d

6 N, 8 N

answer is D.

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Detailed Solution

TAB = TCD =12i   (BC).B =12×2×3×2  N  = 6 NTBC=12. i(AB).B=12×2×4×2  N = 8 N
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A rectangular coil ABCD carrying a current of 2A is placed in a uniform magnetic field of induction magnetic field of induction B = 2 T in a gravity free space. Length Ab = CD = 4 m and length BC = Ad = 3 m. Then tensions induced in the sides AB and BC are respectively.