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Simple transfer function question

  1. Nov 11, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the transfer function of an RLC circuilt and the magnitude. (All the impedances are in series) and the Vo is in the R. Vi is the source voltage.


    2. Relevant equations



    3. The attempt at a solution

    So transfer function of the circuit => Vo/Vi = R/ (sL+1/sC + R)

    solving all this and assuming that R=C=L=1
    I get

    H(s)= s/(s^2+1+s)

    H(ω)= jω/(j^2*ω^2+1+j*ω)

    For the magnitud I get :

    |H(ω)|= ω/sqr(ω^4+ω^2+1)

    But I think the magnitude is wrong, please help.
     
    Last edited: Nov 11, 2013
  2. jcsd
  3. Nov 11, 2013 #2

    NascentOxygen

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    Staff: Mentor

    Hi tadm123. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif [Broken]


    Remember that j^2 = -1
     
    Last edited by a moderator: May 6, 2017
  4. Nov 12, 2013 #3

    rude man

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    Homework Helper
    Gold Member



    whence this assumption?
     
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