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Designing a Foster 1 Network

  1. Apr 3, 2014 #1
    1. The problem statement, all variables and given/known data
    Design and show a foster 1 network

    z=(x^2+4)/(x(x^2+2))


    2. Relevant equations



    3. The attempt at a solution
    So first I did the partial fraction expansion and I got (2/x)-(x/(x^2+2)). Next I got everything in the denominator so (1/x/2)-(1/(x+(2/x)) when I do this though I get all capacitors I get one series capcitor at (1/2) and one capacitor at 1 which is in parallel with (1/2) iis this wrong?
     
  2. jcsd
  3. Apr 3, 2014 #2
    I guess what I should ask is a foster netwrok possible with only capacitors
     
  4. Apr 3, 2014 #3
    Well actually it will be an LC network not RC and Z(0)=infinity and Z(infinity)=1 so there will be a series inductor. This also means one of the capcitors will actually be an inductor with a value of 1/8. But how do you test Zsmall and Zlarge?
     
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