Question

A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30 with the direction of a uniform horizontal magnetic field of magnitude 0.80 T. What is the magnitude of torque experienced by the coil?

Answer 1

Length of a side of the square coil, l = 10 cm = 0.1 m
Current flowing in the coil, I = 12 A
Number of turns on the coil, n = 20
Angle made by the plane of the coil with magnetic field, θ = 30° Strength of magnetic field, B = 0.80 T Magnitude of the magnetic torque experienced by the coil in the magnetic field is given by the relation,

Where,
A = Area of the square coil
= l × l = 0.1 × 0.1 = 0.01 m2
So, τ = 20 × 0.8 × 12 × 0.01 × sin30°
= 0.96 N m

Hence, the magnitude of the torque experienced by the coil is 0.96 N m.