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Solving a Complex Circuit Equation

  1. Feb 8, 2012 #1
    1. The problem statement, all variables and given/known data
    I have the following circuit....
    circuit22.jpg

    I have managed to derive an equation for U2:

    u22.jpg

    Now I want to substitute U2 into U1, in order to derive equation for U1

    I have defined U1 as:

    u11.jpg

    Now I substitute U2 into the above equation. This is how far I get.....I am stuck...


    My circuit simulator is saying that U1 is equal to:


    u11sol.jpg


    However I cannot simply to get this equation. Can someone please help I have spent hours trying to get U1 to look like the U1 that the simulator produces.


    I thank you in advance.
     
  2. jcsd
  3. Feb 9, 2012 #2
    Wow 380 hits and no-one can solve it. I was up until 3am last night trying to do this and still couldn't get U1 looking like the simulator produced. I would be massively grateful if someone, with better mathematical skills than me have a go at solving this, its driving me BONKERS.
     
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