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    Magnetic flux threading a metal ring varies with time

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    The magnetic flux threading a metal ring varies with time t according to 3at^3-bt^2, with a = 7.7s^-3m^2T, and b = 2.8 s^-2m^2T. The resistance of the ring is 2.3 Ohms. Determine the maximum current induced in the ring during the interval from t1 = -2.3 s to t2 = 7.3 s. Answer in units of A

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    flux (f) = 3at^3 - bt^2
    <br>a = 7.7 SI unit
    <br>b = 2.8 SI unit
    <br>=> f = 3*7.7*t^3 - 2.8*t^2 = 23.1*t^3 - 2.8*t^2
    <br>df/dt = 23.1*3*t^2 - 2.8*2*t
    <br>=> df/dt = 46.2*t^2 - 5.6*t
    <br>because ...