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On Sat, 05 Jun 2004 15:23:37 -0500, Cecil Moore wrote:
Walter Maxwell wrote: Yes, Cecil, I understand. However I don't particularly like the notion of saying both fields go to zero, or both fields go to zero in the rearward direction. But Walt, that's exactly what happens when total destructive interference occurs as explained by J. C. Slater in _Microwave_Transmission_. I believe voltage 180 out defines a short--period. That same belief is what got Dr. Best into trouble. He never considered what happens to the reflected current waves. In a sense, your and his disagreements are because you both made the same conceptual mistake and arrived at different conclusions because of that common mistake. If you and he had not made that shared mistake, you both would have arrived at the same conclusions. Cecil, how do you figure I made a mistake in this issue? I have always considered voltage 180 out as a short. And my writings show voltage at 180 as a short, as stated on page 23-9. I agree that the opposite phases of both voltage and current in that discussion resulted in the cancelation of reflected power traveling in the 225-ohm section of line. And during the last day or two I leaned toward thinking the out of phase current implied an open circuit. But you can see from my words above that voltage rules--when the voltages are 180 out of phase it defines a short circuit. My zip cord example is evidence to that. Consequently, I don't agree that Steve and I made the same mistake. My writings delivered the correct mathematical answers--Steve's does not. The mistake I made on page 23-9 is in overlooking that it is the effective open circuit condition seen looking in the rearward direction by the reflected waves at point A is what gave both the voltage and current waves the reversal and phase change to zero relative to the source waves. Another scenario with the same initial conditions and results: Take two identical generators delivering the same level of harmonically related output voltages. Connect their terminals in phase.Voltages in phase--currents in phase. Result? No current flow. Why? Zero voltage differential. Open circuit to voltage--open circuit to current. Now reconnect their terminals in the opposite manner. Voltages 180 out--currents 180 out. Do we have current flow? You bet--dead short! Because current results from voltage, if voltages are 180 out of phase we have a short to both voltage and curent. No open circuit to current. This is the problem with trying to use circuit analysis to replace network analysis. Put the two sources at the two ends of a transmission line and please reconsider the outcome. Equip the two sources with circulators and dummy loads so the outcome cannot be in doubt. Cecil, I don't believe the outcome is in doubt. Walt |