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Integrate or divide the input impedance for transmission lines in series?
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[QUOTE="Steve4Physics, post: 6848083, member: 681522"] The question is not clear but I'm guessing the OP wants ##Z_{in}## for different lengths. I'm no expert but we have (from the Post #1 attachment)$$Z_{in} = Z_0 \left( \frac {Z_L + jZ_O \tan βℓ}{Z_O + jZ_L \tan βℓ} \right)$$The relationship between input impedance and length (given all other parameters are the same) is quite complicated.$$Z_{in}(ℓ=L_0) = Z_0 \left( \frac {Z_L + jZ_O \tan βL_0}{Z_O + jZ_L \tan βL_0} \right)$$ $$Z_{in}(ℓ=\frac {L_0}N) = Z_0 \left( \frac {Z_L + jZ_O \tan β\frac {L_0}N}{Z_O + jZ_L \tan β\frac {L_0}N} \right)$$ $$Z_{in}(ℓ=NL_0) = Z_0 \left( \frac {Z_L + jZ_O \tan βNL_0}{Z_O + jZ_L \tan βNL_0} \right)$$Edited. [/QUOTE]
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Integrate or divide the input impedance for transmission lines in series?
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