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Q.

The figure below shows the north and south poles of a permanent magnet in which n turn coil of area of cross-section A is resting, such that for a current i passed through the coil, the plane of the coil makes an angle θ with respect to the direction of magnetic field B. The couple acting on the coil is

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a

τ=niABcosθ

b

τ=niABsinθ

c

τ=niAB

d

None of the above, since the magnetic field is radial

answer is A.

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Detailed Solution

Plane of coil is having angle θ with the magnetic field.∴τ=MBsin⁡(90−θ) or τ=niABcos⁡θ [As M =niA]
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