A circular loop of wire of radius 12.1 cm is placed in a magnetic field directed

Question

A circular loop of wire of radius 12.1 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 0.590 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 12.1 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 0.590 T/s in some time interval, what is the magnitude of the emf induced in the loop during this interval?

Explanation / Answer

Induced EMF = change in flux per time

e = d (BA sin90) / dt

e = A * dB /dt

and dB/dt = 0.590 T/s    ( Given)

and r = 12.1 cm = 0.121m

so A = pi r^2 = 0.046 m^2

e = 0.046 x 0.590 = 0.0271 V or 27.1 mV

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