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On Mar 17, 1:06*am, Cecil Moore wrote:
Keith Dysart wrote: Pr.g(t) = -50 + 50 *cos(2wt) * * * * = -50 -50 * * * * = -100 which would appear to be the 100 watts needed to heat the source resistor. Which, contrary to your previous assertions, agrees with what I have said previously. This is the destructive interference energy stored in the feedline 90 degrees earlier and being returned as constructive interference to the source resistor. It's impossible to sweep it under the rug when the source power is zero, huh? The intriguing question is: 1. Do you just stop reading as soon as you find a snippet that aligns with your claim? 2. Do you keep reading, but do not understand because you are so gleeful at finding a snippet that aligns with your claim? 3. Or do you read, understand, but choose to disingenuously ignore that which follows the snippet that aligns with your claim? Regardless, if you use the snippet above to support your claim, you have effectively modified your claim. You are now saying that the reflected energy is dissipated in the source resistor only at particular times, such as when the source voltage is 0, and that you are not interested in what happens during the rest of the cycle. For example, if you were to do the same analysis, except do it for t such that wt equals 100 degrees, instead of 90, you would find that you need more terms than just Pr.g to make the energy flows balance. When wt equals 100 degrees Ps = -28.170 Prs = 65.798 Pg = -93.96 so, as expected Ps = Prs + Pg And Pr.g = -96.985 Pf.g = 3.015 Ooooppppss, no way to make those add to 65.798. But Ps = Prs + Pf.g + Pr.g since Pg = Pf.g + Pr.g So all is well with world. All power comes from the source. Since power is being delivered to the source resistor at a time when the source is delivering zero power, it must have been previously been stored in the reactance of the transmission line. This is true. But it is, of course, Pg(t) that describes the energy flow in and out of the line, not Pr.g(t). So are you now agreeing that it is not the energy in the reflected wave that accounts for the difference in the heating of the source resistor but, rather, the energy stored and returned from the line, i.e. Pg(t)? Note also, that when wt is 100 degrees, not only is the source resistor being heated by energy being returned from the line, the source is also absorbing some of the energy being returned from the line (Ps = -28.170). ...Keith |
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