A conducting loop of radius 10/√π cm is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is:
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Question

A conducting loop of radius 10/√π cm is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is:

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G1 Physics · Accepted Answer

Radius r = 10/√π cm = 0.1/√π m, so area A = πr² = 0.01 m². The steady rate of field change is 0.5/0.5 = 1 T s⁻¹. Hence induced emf = A|dB/dt| = 0.01 V = 10 mV.