David:
[snip]
sorry, not always... another clear generalization from oversimplifying and
applying the wrong model. there are cases where there is zero reflected
voltage for a conjugate match.
[snip]
David, my friend as I stated several times, there is only one such case NOT
"cases"
and occurs only when Zo is purely resistive.
In that case the conjugate is non-existent! What's your point?
Wanna proof:
The reflection coefficient is identically zero,
rho = (Z - Zo)/(Z + Zo) = 0
If and only if the numerator of rho is identically zero.
(Z - Zo) = 0
Solving for the unknown Z, this occurs whenever.
Z = Zo
For complex Zo = ro + jxo, conjugate match occurs whenever
Z = ro - jxo and so rho can only be zero when:
ro - jxo = ro + jxo
which only occurs when
-xo = xo
This can only happen if xo = 0, i.e. the reactive part of both Z and Zo
are identically zero.
i.e. -xo = xo if and only if xo = 0
And this only occurs when Zo is real, not when it is complex!
What exactly is your point?
--
Peter K1PO
Indialantic By-the-Sea, FL.
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