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2 February, 05:33

A 115-turn circular coil of radius 2.71 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. During 0.133 s the magnetic field strength increases from 50.1 mT to 90.5 mT. Find the magnitude of the average EMF, in millivolts, that is induced in the coil during this time interval.

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  1. 2 February, 05:39
    0
    80.6 mV

    Explanation:

    Parameters given:

    Number of turns, N = 115

    Radius of coil, r = 2.71 cm = 0.0271m

    Time taken, t = 0.133s

    Initial magnetic field, Bin = 50.1 mT = 0.0501 T

    Final magnetic field, Bfin = 90.5 mT = 0.0905 T

    Induces EMF is given as:

    EMF = [ (Bfin - Bin) * N * A] / t

    EMF = [ (0.0905 - 0.0501) * 115 * pi * 0.0271²] / 0.133

    EMF = (0.0404 * 115 * 3.142 * 0.0007344) / 0.133

    EMF = 0.0806 V = 80.6 mV
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