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Cecil Moore wrote in message ...
.... The SWR circle (at the frequency of maximum reactance) will pass through the 2500+j2500 ohm point. Do you disagree? The reactance arc (at the frequency of maximum reactance) will pass through the 2500+j2500 ohm point. Do you disagree? ERGO: The SWR circle will be tangent to the reactance arc at the 2500+j2500 ohm point no matter what Z0 is being used. Do you disagree? that specific example, using a reference impedance of 50 ohms... magnitude of rho for 2500.00+j2500.00 = .9801999804 magnitued of rho for 2500.25+j2500.00 = .9801999801 magnitude of rho for 2500.50+j2500.00 = .9801999800 magnitude of rho for 2500.75+j2500.00 = .9801999801 magnitude of rho for 2501.00+j2500.00 = .9801999804 The point of tangency to an SWR circle for the +j2500.00 arc is therefore NOT at 2500.00+j2500.00. It will be much more obvious if you recalculate things at a higher reference impedance, say 1000 ohms. Then following the +j2500 reactance arc, mag(rho) reaches a minimum when Z is about 2692+j2500. And in any event, I think it highly unlikely that the antenna's resistance when the reactance peaks at 2500 ohms will be exactly 2500 ohms as well. |
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