A square loop having length of side 1 m is liying in the xy plane. A uniform magnetic field B→=2i^−3j^+k^T exists in that region of space. If the loop carries a current of 2A, the magnitude of torque experienced by the loop is,
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a
4 N−m
b
7 N−m
c
52 N−m
d
8 N−m
answer is C.
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Detailed Solution
magnetic dipole moment of the loop M→=2×12k^ N−m=2 k^ N−m∴τ→=M→×B→=2k^×2i^−3j^+k^ N−m=4j^+6i^N−m∴τ→=42+62 N−m=52 N−m