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On Mar 14, 7:53*am, Cecil Moore wrote:
Keith Dysart wrote: Yes indeed. The reactance looking into the line. But the reflected wave is not going into the line so this is not a reactance that it sees. Part of the reflected wave energy is going into the reactance along with part of the forward wave energy when the instantaneous interference between those two waves is destructive at the source resistor. Anything else would violate the conservation of energy principle. That same energy is returned to the source resistor 90 degrees later as constructive interference. Your missing energy is in the reactance. Still handwaving. Show the expressions and the numbers that make it balance. Otherwise, just handwaving. Now you know why Hecht said instantaneous power is "of limited utility". I've known that for quite a while. It is because it is so difficult to measure with optical signals. Where the instantaneous energy is at any point in time is a complicated mess that you haven't solved. Not at all. Follow the spreadsheet for a full accounting. It is the average power that really matters and all the average reflected power is dissipated in the source resistor when the reflected wave is 90 degrees out of phase with the forward wave but under no other conditions. Averaging is a mathetical operation applied to a function. In this case a function of time. The underlying function of time conveys more information than does just the average which is why just dealing with averages can lead one astray. Instantaneous power is completely irrelevant to the average power data posted on my web page. Well, it does disprove some of your claims so I can see why you like to belittle it. You are saying that because my pickup has black tires, it is not a white pickup. My article stands as written with a disclaimer about any importance being attached to instantaneous power. See previous comment. Walter Maxwell didn't deal with instantaneous powers. Steven Best didn't deal with instantaneous powers. To the best of my knowledge, the instantaneous power straw man was invented by you for the purpose of muddying the waters. Your instantaneous power analysis is also incorrect because you completely ignored the instantaneous power in the system reactance. You have completely ignored the role of destructive and constructive interference. You cannot possibly understand where the energy goes until you understand interference. I observe that you have not provided any expansion based on either reactance or interference that accounts for the differences. Most probably because it is not possible. We have reached the end of the discussion road and hashed it to death. If we are still in disagreement, we are just going to have to agree to disagree. Are you really going to let me be the last man standing this time? We shall see. ...Keith |
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