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Question

A coil of area A, turns N and carrying current i is placed with its face parallel to the lines of magnetic induction B. The work done in rotating the coil through an angle of 1800 is

A
iNAB
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B
2iNAB
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C
iNAB2
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D
Zero
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Solution

The correct option is A 2iNAB
The potential energy of a system of magnetic moment M placed in magnetic field B is U=M.B
Hence the total work done in rotating the coil by 180 is
U2U1=(MB)(MB)
=2MB=2iNAB

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