A conducting circular loop is placed in a uniform magnetic field of 0.4 T with its plane perpendicular to the field. Somehow, the radius of the loop starts expanding at a constant rate of 1 mm s^-1.…

Question

A conducting circular loop is placed in a uniform magnetic field of 0.4 T with its plane perpendicular to the field. Somehow, the radius of the loop starts expanding at a constant rate of 1 mm s^-1. The magnitude of induced emf in the loop at an instant when the radius of the loop is 2 cm will be_______ V.

Accepted Answer

Correct answer: 50. (50) The data given is B = 0.4T R = 2 x 10-2m It is given that dR dt = 10-3 m s^-1 Area of the loop is A = R2 So, dA dt=2 πR dR dt The flux is, =2 πR dR dt B So, the magnitude of emf is =2 227 2 10^-2 10^-3 0.4 = 5.028 x 10-5 V =5.028 10^-5V=50.28 μV ≈50 V

Solution

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