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2 December, 07:19

A square, single-turn coil 0.132 m on a side is placed with its plane perpendicular to a constant magnetic field. An emf of 27.1 mV is induced in the winding while the area of the coil decreases at a rate of 0.0785 m2 / s. What is the magnitude of the magnetic field? Answer in units of T.

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  1. 2 December, 10:34
    0
    0.35 T

    Explanation:

    Side, a = 0.132 m, e = 27.1 mV = 0.0271 V, dA / dt = 0.0785 m^2 / s

    Use the Faraday's law of electromagnetic induction

    e = rate of change of magnetic flux

    Let b be the strength of magnetic field.

    e = dФ / dt

    e = d (B A) / dt

    e = B x dA / dt

    0.0271 = B x 0.0785

    B = 0.35 T
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