NCERT Class XII Chapter
Moving Charges and Magnetism
Questions With Solutions

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Question : 13
Total: 28
(a) A circular coil of 30 turns and radius 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of 60° with the normal of the coil. Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning.
(b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area? [All other particulars are also unaltered].
Solution:  

(a) The given coil is circular and is suspended such that field lines makes angle 60° with normal of the coil.
Torque on the coil, t = NIBA sinθ t = 30 × 6 × 1 × π × (8×102)2 × sin 60° = 3.13 N m
A similar torque is required to prevent the coil from turning.
(b) As long as the area of the planar coil remains same, the torque on the coil is also same, irrespective of the shape.
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