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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. |