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    Circuit analysis problems

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    SOLUTION

    VS(mV)
    Problem 1 4
    IL
    3

    + 2
    VS L = 5mH
    - 1

    0 1 2 3 t(μs)
    -1

    IL(μA)

    1 2 3 t(μs)

    -1
    -1.2
    -1.6

    -2

    Voltage VS = L dIL/dt
    t
    Or IL =1/L ∫VS dt + IL(0) where IL(0) is the initial current at t=0 ......(1)
    0
    We can determine the inductor current for different time periods using (1).

    Time period t=0 to t=1 μs

    For this period initial current is IL(0) = -2 μA

    1μs
    IL =1/L ∫VS dt + IL(0) = 1/(5x10-3) x 4x10-3 x 1 x 10-6 - 2 x 10-6 = -1.2 x ...

    Solution Summary

    The problems have been solved using Kirchhoff's laws.

    $2.49

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