At what frequency should a 200-turn, flat coil of cross sectional area of 300 cm2 be rotated in a uniform 30-mT magnetic field to have a max

Question

At what frequency should a 200-turn, flat coil of cross sectional area of 300 cm2 be rotated in a uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 8.0 V

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Khải Quang 4 years 2021-08-05T16:53:26+00:00 1 Answers 110 views 0

Answers ( )

  1. thnahdat
    0
    2021-08-05T16:54:43+00:00
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    Answer:

    The frequency of the coil is 7.07 Hz

    Explanation:

    Given;

    number of turn of the coil, N = 200 turn

    area of the coil, A = 300 cm² = 0.03 m²

    magnitude of magnetic field, B = 30 mT = 0.03 T

    maximum value of induced emf, E = 8 V

    The maximum induced emf in the coil is given by;

    E = NBAω

    E = NBA(2πf)

    f = \frac{E_{max}}{2\pi*NBA}

    where;

    f is the frequency of the coil

    f = \frac{E_{max}}{2\pi*NBA}\\\\f = \frac{8}{2\pi(200)(0.03)(0.03)} \\\\f = 7.07 \ Hz

    Therefore, the frequency of the coil is 7.07 Hz

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