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I am not able to calculate the scattering matrix of a pi-circuit although I have calculated its Y matrix. The needed scattering matrix is referred to 50Ω.

Could someone help me on calculating the scattering matrix?

I tried to deduct the S50 matrix using the attached picture https://ibb.co/G7JZBGY

however, I got at the end 2 non linear equations for 2 unknown variables

tonyjk
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    What have you tried (show your calculations) and where did you not get what you expected? – The Photon Jan 11 '23 at 17:04
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    How are you trying to do it? Are you using the equations on [this](https://en.wikipedia.org/wiki/Admittance_parameters) page? – Neil_UK Jan 11 '23 at 17:11
  • I am using this formula (https://ibb.co/G7JZBGY) and I am having a circle equation as a solution – tonyjk Jan 11 '23 at 17:56

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