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=niABcosθ [As M =niA]