The area of a rectangular loop of wire is 3.6 * 10-3 m2. The loop is placed in a magnetic field that changes from 0.20 T to 1.4 T in 1.6 s. The plane of the loop is perpendicular to the direction of the magnetic field. What is the magnitude of the induced emf in that loop?

Question

Physics

Molly

14 March, 17:40

The area of a rectangular loop of wire is 3.6 * 10-3 m2. The loop is placed in a magnetic field that changes from 0.20 T to 1.4 T in 1.6 s. The plane of the loop is perpendicular to the direction of the magnetic field. What is the magnitude of the induced emf in that loop?

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Casey Garcia · Answer 1

2.7 mV

Explanation:

A = 3.6 x 10^-3 m^2

B1 = 0.20 T, B2 = 1.4 T, t = 1.6 s

According to the Faraday's law of electromagnetic induction

e = - rate of change of magnetic flux

e = - dФ / dt

where, negative sign shows the direction of induced emf.

Ф = B x A

dФ / dt = A x dB / dt

e = A x dB / dt = 3.6 x 10^-3 x (1.4 - 0.2) / 1.6

e = 2.7 x 10^-3 V = 2.7 mV