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Simplifying a fraction

  1. May 14, 2013 #1
    I have the following two equations

    5bCv09x.png
    3Eq3tTM.png

    C, L, and R are all constants.

    I need to somehow get the above two equations and get it to look like this:

    ieBherg.png

    But I can't get mine to look that nice. I have V1(s) = V2(s)(1+sCR) and I substituded it into equation 1 and it ends up looking messy. Any help would be appreciated.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. May 15, 2013 #2

    SteamKing

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    Show us your work and you may get some helpful suggestions.
     
  4. May 15, 2013 #3
    i(s) = V2(s)(1+sCR) / sL + (V2(s)(1+sCR) - V2(s)) / R
    i(s) = V2(s)( (1+sCR) / sL + sCR / R)
    V2(s) = i(s) (sL / (1+sCR) + 1 / sC) = i(s) ((s^2 * LC + 1 + sCR) / sC(1+sCR))
    V2(s) = i(s) ((s^2 * LC + 1 + sCR) / (sC+s^2 * C^2 * R))

    this is obviously not what i'm supposed to have.
     
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