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25 April, 04:53

The alternator in a car consists of a rectangular coil, with 250 turns of wire and area 0.01 m^2, rotating in a 0.1 T magnetic field. (The field is produced by a direct-current electromagnet.) If the rotation rate is 10^3 rpm, what is the peak output voltage?

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  1. 25 April, 05:22
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    26.17 V

    Explanation:

    In a alternator, an ac voltage is produced whose magnitude of voltage varies sinusoidally.

    Maximum voltage induced = nBAω

    where n is no of turns, B is magnetic field, A is area of the coil and ω is angular velocity.

    Rate of rotation n = 1000rpm = 1000/60 rps = 16.67 rps

    angular velocity ω = 2π n = 2π x 16.67 = 104.68 rad / s

    Putting all values in the given equation above

    Max voltage = 250 x. 1 x. 01 x 104.68

    = 26.17 V
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