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21 January, 16:50

A rectangular coil with sides 0.10 m by 0.25 m has 500 turns of wire. It is rotated about its long axis in a magnetic field of 0.58 T directed perpendicular to the rotation axis. At what frequency must the coil be rotated for it to generate a maximum potential of 110 V?

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  1. 21 January, 19:48
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    15.2 rad/s

    Explanation:

    A = Area of the rectangular coil

    Area of the rectangular coil is given as

    A = 0.10 x 0.25

    A = 0.025 m²

    B = magnetic field in the region = 0.58 T

    N = Number of turns = 500

    w = frequency at which coil must be rotated

    E = maximum induced potential = 110 volts

    Maximum induced potential is given as

    E = N B A w

    inserting the values

    110 = (500) (0.58) (0.025) w

    w = 15.2 rad/s
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