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Question

A 100 coil shown in figure carries a current of 2 A in a magnetic field B=0.2wb/m2 The torque acting on coil is

1195976_b0e67a11feaf4f78b83595c9b70d5245.jpg

A
0.32 N-m tending to rotate the side AD out of the page
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B
0.32 N-m tending to rotate the side AD into the page
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C
0.0032 N-m tending to rotate the side AD out of the page
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D
0.0032 N-m tending to rotate the side AD into the page
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Solution

The correct option is A 0.32 N-m tending to rotate the side AD out of the page
Given:- Number of turns on the coil N=100
Current carried by coil, I=2A
Magnetic field, B=0.2Wb/m2


Solution:-
Side AB and side DC are along the magnetic field line, hence force on each side is zero

The force on each vertical wire is given by

τ=BINAsinθ

τ=0.2×2×100×(0.1×0.08)

τ=0.32Nm

rotate the side AD out of the page

Hence the correct option is A

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