- #1

patkood

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- Homework Statement
- I have tried divide input impedance for transmission line based on RLGC value divided to N, and take into Zin function, but cannot go ahead.

I do not find any reference showing what is the math relation for total Zin and each parts of Zin.

to be brief:

(1) if we divide transmission line with N equal parts, we could obtain each parts of transmission line by simple divide total RLGC by N? am I correct?

(2) if I have N parts of transmission line with different length(different RLGC), how could we obtain total RLGC? can we add them together?

we can start with simple equation from short and open load as listed in the attached file.

Thanks very much!

- Relevant Equations
- total with L, Zin=Z0cot(Belta*L) ,

each part with length equal to L/N, Zin(i)= Z0*cot(Belta*L/(N^2)). i=1，2....N

Not sure if could obtain Zin=Z1+Z2+......Zn

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