A circular loop of wire of radius 11.8 cm is placed in a magnetic field directed

Question

A circular loop of wire of radius 11.8 cm is placed in a magnetic field directed perpendicular to the plane of the loop, as shown in the figure below. If the field decreases at the rate of 0.0530 T/s in some time interval, what is the magnitude of the emf induced in the loop during this interval?

______mV

A circular loop of wire of radius 11.8 cm is placed in a magnetic field directed perpendicular to the plane of the loop, as shown in the figure below. If the field decreases at the rate of 0.0530 T/s in some time interval, what is the magnitude of the emf induced in the loop during this interval? mV

Explanation / Answer

given

r = 11.8 cm = 0.118 m

dB/dt = 0.053 T/s

we know, induced emf in the loop = A*dB/dt

= pi*r^2*dB/dt

= pi*0.118^2*0.053

= 2.3*10^-3 Volts

= 2.3 mV

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