Laplace transform

Discussion in 'Math' started by ashmeo, Jun 24, 2012.

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  1. ashmeo

    Thread Starter New Member

    Nov 21, 2011
    Hi everyone, I've been given a problem and I can't seem to prove it. The picture shows a filter, ( i think its a low pass filter) [pic attached]

    Here's what i got so far.

    I've got Vr=iR
    Vc= Vin(1-e^-t/RC)

    = iR + Vin(1-e^-t/RC)
    = iR + sinwt(1-e^-t/RC)

    since Vr=Vout, and Vin = sinwt

    sinwt = Vout + sinwt(1-e^-t/RC)

    Vout= sinwt - sinwt(1-e^-t/RC)

    am i suppose to laplace this?

    If yes,

    and when i laplace Vin=Vr+Vc as stated in the hint , i got L{vin} = iR/s + w/(s^2 + w^2) + w/ [ (s+1/RC)^2 +w^2 ]

    how am i supposed to continue and relate to proving Vout?

    tell me what to do step by step as im still a beginner and thanks for your replies! I appreciate it :)
  2. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    It's poor practice to start several threads on exactly the same topic. It leads to confusion and frustration.
  3. Wendy


    Mar 24, 2008
    ashmeo likes this.
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