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Homework Help: Transfer Function and Steady State Response (Some S-domain)

  1. Oct 21, 2012 #1
    1. The problem statement, all variables and given/known data

    Find Vo in steady state.

    V1 = 5cos(1400t) V
    R = 100 Ω
    L = 25 mH
    C = 20 μF

    2. Relevant equations

    L = Ls
    C = 1/Cs

    3. The attempt at a solution

    I first solved for the transfer function T(s):

    [itex] T(s) = \frac{LCs^2 + 1}{LCs^2 + RCs +1} [/itex]

    From here I can plug in jω into T(s) --> T(jω)

    After I plug in all the numbers for the given values and ω = 1400. I end up getting an extremely small number as an amplitude with a phase shift of almost -90. Does this seem right? I simulated this in LT Spice and it's showing around 4.5 V for Vo.

    Thanks for any help

    Attached Files:

  2. jcsd
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