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16 September, 12:37

A circular metal loop is kept entirely within a magnetic field, but moved to a region of higher field strength while not rotated. What could you do to its diameter to prevent an induced current in it? Explain.

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  1. 16 September, 12:47
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    The Answer:

    The diameter will be reduced or shorten to prevent the induced current in the metal loop

    explanation:

    Magnetic flux is given as

    Φ = BA•Cosθ

    Since the angle is kept constant.

    So to have same magnetic flux with larger magnetic field required only the diameter to changed

    From the equation above,

    Φ = BA•Cosθ

    B = Φ / A•Cosθ

    Since both Flux and the angle is constant

    Then, The magnetic field is inversely proportional to the Area

    And the areas is a function of diameter, Area = πd²/4

    So to have a larger magnetic field, we need to reduce or shorten the diameter.

    As d reduces, B increases.
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