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30 July, 18:39

The coil in an AC generator consists of 21 turns of wire, each of area A = 0.12 m2, and the total resistance of the wire is 24 Ohms. The coil rotates in a 0.5 Tesla magnetic field at a constant frequency of 135 Hz. Find the maximum induced emf in the coil (in Volts).

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  1. 30 July, 20:17
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    1068.23 V

    Explanation:

    number of turn, N = 21

    Area, A = 0.12 m^2

    Resistance, R = 24 ohm

    Magnetic field, B = 0.5 Tesla

    Frequency, f = 135 Hz

    The maximum induced emf is given by

    e = N x B x A x ω

    e = N x B x A x 2 x π x f

    e = 21 x 0.5 x 0.12 x 2 x 3.14 x 135

    e = 1068.23 V

    Thus, the induced emf is 1068.23 V.
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