Magnetic Effects Of Current Question 216

Question: A current i flows in a circular coil of radius r. If the coil is placed in a uniform magnetic field B with its plane parallel to the field, magnitude of the torque that acts on the coil is [MP PET 2001]

Options:

A) Zero

B) $ 2\pi ,r,i,B $

C) $ \pi ,r^{2},i,B $

D) $ 2\pi ,r^{2},i,B $

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Answer:

Correct Answer: C

Solution:

As shown in the following figure, the given situation is similar to a bar magnet placed in a uniform magnetic field perpendicularly. Hence torque on it $ \tau =MB\sin 90{}^\circ =(i\pi r^{2})B $