Q. 53

# A rectangular coil of 100 turns has length 5 cm and width 4 cm. It is placed with its plane parallel to a uniform magnetic field and a current of 2A is sent through the coil. Find the magnitude of the magnetic field B, if the torque acting on the coil is 0.2 N m–1.

Given-
No. of turns in the coil, n = 100

Area of the coil, A = 5 × 4 cm2 = 20 × 10−4 m2

Magnitude of current = 2 A

Torque acting on the coil, τ = 0.2 N m−1

We know that torque acting on a rectangular coil having n turns is given by

Where

B= applied magnetic field

A= area of rectangular loop

I = current flowing through coil

n = number of turns

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