A rectangular coil 20 cm by 33 cm has 110 turns. This coil produces a maximum emf of 72 V when it rotates with an angular speed of 200 rad/s

A rectangular coil 20 cm by 33 cm has 110 turns. This coil produces a maximum emf of 72 V when it rotates with an angular speed of 200 rad/s in a magnetic field of strength B.Find the value of B.

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  1. Answer:

    0.05T

    Explanation:

    Data given,

    area, A=20cm*33cm=0.2m*0.33m=0.066m^2

    Number of turns, N=110 turns,

    Emf= 72v,

    angular speed, W= 200rad/s

    magnetic field strength, B= ??

    from the expression showing the relationship between induced emf and magnetic field is shown below

    [tex]E=NBAW[/tex]

    Where N is the number of turns,

    E=is the emf,

    Bis the magnetic field strength

    if we substitute values, we arrive at

    [tex]E=NABW\\72=110*0.066*B*200\\B=\frac{72}{1452}\\ B=0.05T[/tex]

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