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RLC Transfer Function

  1. Jan 8, 2008 #1
    1. The problem statement, all variables and given/known data
    We have a series RLC circuit with x(t) as the voltage source. We are to find the frequency response function H(w) from the input x(t) to the output y(t)=Vc(t) - ie the voltage across the capacitor.

    2. Relevant equations

    3. The attempt at a solution

    My answer is:

    [tex]H(\omega) = \frac{1}{1+j \omega R C - \omega ^{2} L C }[/tex]

    I just got it from doing the impedance of the capacitor over the total impedance. First does this look correct?

    My second question arises in a more "general" approach of going at transfer function problems. Do I always just do the impedance part we are looking at divided by the impedance of the whole circuit?
  2. jcsd
  3. Jan 9, 2008 #2


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    Homework Helper


    not entirely sure what you mean by "general" approach; but it usually depends on the circuit
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