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25 July, 13:36

What is the minimum frequency with which a 200-turn, flat coil of cross sectional area 300 cm2 can be rotated in a uniform 30-mT magnetic field if the maximum value of the induced emf is to equal 8.0 V

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  1. 25 July, 14:25
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    The minimum frequency of the coil is 7.1 Hz

    Explanation:

    Given;

    number of turns, N = 200 turns

    cross sectional area, A = 300 cm² = 300 x 10⁻⁴ m²

    magnitude of magnetic field strength, B = 30 x 10⁻³ T

    maximum value of the induced emf, E = 8 V

    Maximum induced emf is given as;

    E = NBAω

    where

    ω is angular velocity (ω = 2πf)

    E = NBA2πf

    where;

    f is the minimum frequency, measured in hertz (Hz)

    f = E / (NBA2π)

    f = 8 / (200 x 30 x 10⁻³ x 300 x 10⁻⁴ x 2 x 3.142)

    f = 7.073 Hz

    f = 7.1 Hz

    Therefore, the minimum frequency of the coil is 7.1 Hz
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