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10 April, 09:42

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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  1. 10 April, 13:40
    0
    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
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