Inductance / Quality Factor formula

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zuna

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Hi

I am interested to find out the inductance and quality factor of an inductor by designing a trace of metal and then doing EM simulation in ADS using two ports. For this I found one formula for finding Zdiff as:

Zdiff = [Z(1,1) + Z(2,2)] - [Z(1,2) + Z(2,1)]

and then using Qdiff = imag(Zdiff)/(real(Zdiff) to find quality factor.

Can any one please help and guide me from where the Zdiff equation is derives.

Thank you
 
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It was very worth sharing. Please share any data that could help to understand differential 1-port data from 2-port data conversion procedure to get Zdiff = Z(1,1) – Z(1,2) – Z(2,1) + Z(2,2)

Thank You
--- Updated ---

yes I went through the article and understood the difference between 1 port and 2 port analysis for the inductor design. Actually I am trying to understand Zdiff equation that how it is derived. Might be my question is bit confusing/silly as I am new in this field. I apologize.
 
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