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29 July, 12:17

An AC generator has 80 rectangular loops on its armature. Each loop is 12 cm long and 8 cm wide. The armature rotates at 1200 rpm about an axis parallel to the long side. If the loop rotates in a uniform magnetic field of 0.30 T, which is perpendicular tothe axis of rotation, what will be the maximum output voltage of this generator?

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  1. 29 July, 12:19
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    Answer: 28.96 V

    Explanation:

    Given

    No of loops on the armature, N = 80

    Length of the loop, l = 12 cm = 0.12 m

    Width of the loop, b = 8 cm = 0.08 m

    Speed of the armature, 1200 rpm

    Magnetic field of the loop, B = 0.30 T

    To solve this, we use the formula

    V (max) = NBAω

    Where,

    A = area of loop

    A = l*b = 0.12 * 0.08

    A = 0.0096 m²

    ω = 1200 rpm = 1200 * 2π/60 rad/s

    ω = (1200 * 2 * 3.142) / 60

    ω = 7540.8 / 60

    ω = 125.68 rad/s

    Substituting the values into the formula

    V (max) = NBAω

    V (max) = 80 * 0.30 * 0.0096 * 125.68

    V (max) = 80 * 0.362

    V (max) = 28.96 V

    Therefore, the maximum output voltage of the generator would be 28.96 V
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