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On Mar 23, 7:18 pm, Cecil Moore wrote:
Keith Dysart wrote: I notice that you frequently use this example, unfortunately never completing the analysis. Since you leave it unspecified, let me choose the output impedance of the TVSG to be 450 Ohms. Now there is 'reverse power' in the ladder line but no ghosts. Where did the 'reverse power' go such that it does not produce ghosts? Into heating the 450 ohm circulator load resistor that you would have to install to get the generator impedance to exhibit 450 ohms to the reflected waves. Otherwise, the generator will exhibit a mismatch to the 450 ohm line. It is *impossible* for the generator to see 450 ohms when looking into a Z0=450 ohm line with reflections. So it is impossible for the reflected wave to encounter a V/I ratio of 450 ohms in the active generator (unless a 450 ohm circulator resistor is installed). You are trying too hard. Even your problem statement said "no circulator". So I offer a simple example of such a generator: a voltage source connected by a 450 Ohm resistor to the output terminal. Voila: a generator with 450 Ohm output impedance. Not too efficient perhaps, but the design is used when quality source matching is desired or when reflections need to be suppressed but it is impractical to terminate the load in the characteristic impedance of the line. Now back to the problem... and the questions... Actually, "reflected energy" rather than "reverse power". Here is very close to an experiment we did at Texas A&M during the 50's. We observed the ghosting and the professor explained reflected energy waves to us. TVSG-----1000 feet 450 ohm ladder-line---75 ohm TV RCVR If the TV Signal Generator is not equipped with a circulator to get rid of the reflected energy wave, ghosts will appear on the TV RCVR. The ghosts are exactly where they should be if reflected wave energy exists. How would you explain the ghosting? I notice that you frequently use this example, unfortunately never completing the analysis. Since you leave it unspecified, let me choose the output impedance of the TVSG to be 450 Ohms. Now there is 'reverse power' in the ladder line but no ghosts. Where did the 'reverse power' go such that it does not produce ghosts? If it is re-reflected, then it is a delayed copy of the original, i.e. a ghost. So where does it go? Seems to me there is only two ways and the way that does not produce a ghost is into the generator, so we need an accounting of this power within the generator, iff it is real power. Of course there is no issue once you let go of the notion of 'reverse power'. The reverse voltage and current pass into the generator since the generator is matched to the line and nothing is reflected. And since multiplying reverse voltage by reverse current does not, in general, produce a real power, there is no power to account for. Suggest you review transmission line theory. If reverse voltage and reverse current exists, the transmission line forces their ratio to be Z0, i.e. 450 ohms, i.e. in phase. V*I*cos(0) = watts. Since reflections are causing ghosting, it is prima facie evidence that "real power" is being extracted from the reflected wave. Oh I can do the math, and the units are definitely Watts but that doesn't necessarily mean they offer any reality. The toaster in my kitchen has 120 Volts on it and the lamp is drawing 1 Amp (and the two are in phase), but that does not mean that 120 toaster-lamp Watts has any meaning. ....Keith |
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