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}.

Answer :

Given-

No. of turns in the coil, n = 100

Area of the coil, *A =* 5 × 4 cm^{2} = 20 × 10^{−4} m^{2}

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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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}.

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