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

here,

induced emf is defiend as the rate of change of magnetic flux

in mathematical form,

induced emf e = NAdB/dt or NABW

where W is angular velocity

where A = area

N = no. of tunrs

dB/dt = rate of change of magnetic field

so emf e = 1 * 3.14 * 0.118* 0.118 * 0.0530

emf e = 2.31 mV (ANSWER)

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