Question

A circular coil of radius 2.0 cm has 500 turns and carries a current of 1.0 A. Its axis makes an angle of 30° with the uniform magnetic field of magnitude 0.40 T that exists in the space. Find the torque acting on the coil.

Answer 1

Explanation:

Coil has 500 turns, n = 500

Intensity of magnetic field, B =  4 $\times$ 10−1 T

Coil radius, r  = 2 $\times$ 10−2 m

Current’s magnitude, i = 1 A

Angle between the magnetic field and the area vector, θ = 30°

Torque acting on the coil,

τ = niABsinθ

Here, A is the coil’s area.

τ = 0.1256 = 0.13 N-m

So, the torque acting on the coil is 0.13 N-m.