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26 May, 13:20

Recall from an earlier lecture that the relationship between the current through an inductor and the voltage across it is given by What is the current through a 10 mH inductor if 1 V is applied across it for exactly 20 ms? Assume that initially there is no current through the inductor. Show your calculations in your engineering notebook.

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  1. 26 May, 15:56
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    Answer: Current = 2A

    Explanation:

    Inductor L = 10mH

    E. m. f = 1 V

    Time t = 20 ms

    Using

    V = Ldi/dt

    di/dt = V / L

    di/dt = 1/10*10^-3

    di/dt = 100

    di = 100dt

    Integrate both sides

    I = 100 (t1 - to)

    Assume that initially there is no current through the inductor.

    to = 0

    I = 100 * t

    I = 100 * 20*10^-3

    I = 2A
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