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Discussion :: Network Analysis and Synthesis

  1. An input voltage V(t) = 10 2 cos (t + 10°) + 10 3 cos (2t + 10°)V is applied to a series combination of resistance R = 1 kΩ inductance L = 1H. The resulting steady-state current i(t) in ampere is

    2. A.
    10 cos (t + 55°) + 10 cos (2t + 10° tan-12)
    B.
    10 cos (t + 55°) + 103/2 cos (2t + 55°)
    C.
    10 cos (t - 35) + 10 cos (2t + 10° - tan-12)
    D.
    10 cos (t - 35) + 103/2 cos (2t + 35°)

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    Answer : Option C

    Explanation :

    The steady state current i(t) = i1(t) + i2(t)

    Hence ω1, ω2 = 2.

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