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19 August, 08:48

An ac generator consists of a coil with 40 turns of wire, each with an area of 0.06 m2. The coil rotates in a uniform magnetic field B = 0.4 T at a constant frequency of 55Hz. What is the maximum induced emf?

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  1. 19 August, 09:07
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    331.75 V

    Explanation:

    Given:

    Number of turns of the coil, N = 40 turns

    Area, A = 0.06 m²

    Magnetic Field, B = 0.4 T

    Frequency, f = 55 Hz

    Maximum induce emf, E₀ = NABω

    but ω = 2πf

    Maximum induce emf, E₀ = NAB (2πf₀)

    Maximum induce emf, E₀ = 2πNABf₀

    Where;

    N is number of turns of the coil

    A is area

    B is magnetic field

    ω is the angular velocity

    f is the frequency

    E₀ = 2 * π * 40 * 0.06 * 0.4 * 55

    E₀ = 342.81 V

    The maximum induced emf is 331.75 V
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