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Brainteaser
K7ITM wrote:
It's somewhat comforting that it's just as you'd expect from power delivered versus time. It's an illustration of something I believe Ian White was trying to get across in another thread: there are commonly multiple ways to analyze a problem, and if they agree, you MAY have the right answer. If they disagree, you have at least as many wrong answers as the number of disagreements (or perhaps the disagreements only seem to be disagreements). What I said was that there are commonly multiple methods to analyse the same problem, but that all correct methods MUST agree, because they are only different views of the same physical reality. (I think that amounts to the same as you said above, Tom.) -- 73 from Ian GM3SEK 'In Practice' columnist for RadCom (RSGB) http://www.ifwtech.co.uk/g3sek |
Brainteaser
Ian White GM3SEK wrote:
What I said was that there are commonly multiple methods to analyse the same problem, but that all correct methods MUST agree, because they are only different views of the same physical reality. That attitude is certainly an improvement from the earlier labeling of an alternate valid analysis as "Gobbledygook". -- 73, Cecil http://www.qsl.net/w5dxp |
Brainteaser
Cecil Moore wrote:
Ian White GM3SEK wrote: What I said was that there are commonly multiple methods to analyse the same problem, but that all correct methods MUST agree, because they are only different views of the same physical reality. That attitude is certainly an improvement from the earlier labeling of an alternate valid analysis as "Gobbledygook". "Improvement" implies a change; but I have always held the same view as quoted above. It is one of the main reasons why I remain sceptical about your theories. Where they ought to be agreeing with other analyses of the same problem, they don't. Also, "gobbledygook" is not a word I use... it's one of yours, I believe. -- 73 from Ian GM3SEK 'In Practice' columnist for RadCom (RSGB) http://www.ifwtech.co.uk/g3sek |
Brainteaser
On 26 May 2006 15:50:07 -0700, "K7ITM" wrote:
To heck with the red wine...think I'll have another shot or two of the Scapa single-malt this evening. Hi Tom, Is the Scapa flowing? 73's Richard Clark, KB7QHC |
Brainteaser
Ian White GM3SEK wrote:
It is one of the main reasons why I remain sceptical about your theories. Where they ought to be agreeing with other analyses of the same problem, they don't. No chance the "other analyses" could be wrong? Could you please give me an example of what you are talking about? Also, "gobbledygook" is not a word I use... it's one of yours, I believe. I didn't say you used it, Ian, but you didn't object when it was used. -- 73, Cecil http://www.qsl.net/w5dxp |
Brainteaser
Well, after communing this evening with some hard cherry wood from my
back yard that's going to become part of a loom, I decided to go with the Ledaig instead. Cheers, Tom |
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Ian wrote, "(I think that amounts to the same as you said above, Tom.)"
Well, I hope so...I'd certainly not intentionally misstate it. I do think your way of putting it is a bit more positive than mine, though. Cheers, Tom |
Brainteaser
In a previous posting, I noted that for the 100 ohm line driven by
200*sqrt(2) volts DC through 100 ohms, there are two load resistors that dissipate 100 watts: 100*(3 +/- sqrt(8) ) ohms. Continuing the observation about energy stored in electric versus energy stored in magnetic fields, for the low resistance, the steady state load and line voltage is low and the current is high; for the high resistance, the steady state voltage is high and the current is low. In the first case, 8.5786 joules is stored in the electric field and 291.42 in the magnetic; in the second those are reversed and 291.42 are stored in the electric and 8.5786 in the magnetic. The ratio of the two energies is exactly the same as the ratio of the load resistances. In our lossless line, if the excitation is AC and steady-state has been reached, then the total energy stored per unit length varies as a function of time and distance in a somewhat complex manner. The ratio of electric to magnetic varies along the length of the line and as a function of time, with extremes being in a ratio equal to the square of the SWR, occuring of course at voltage and current maxima, spaced 1/4 wave apart, alternating down the line. I'm not sure that those observations will be any use to anyone, but maybe they are of academic interest. Who knows what I might come up with after some Glenmorangie. Cheers, Tom |
Brainteaser
Cecil Moore wrote: Jim Kelley wrote: One should also carefully consider the more interesting variation of the problem: an open transmission line. In the steady state we have 100 watts forward, 100 watts reflected, 200 Joules in the line, and 0 watts being sourced by the generator. :-) Yes, but the 200 joules in the line was previously sourced by the generator during the transient state. It's hard to sweep 200 joules under the reflected power rug. So is this your proof that Joules of energy are likewise reflected from antireflective surfaces? ac6xg |
Brainteaser
Cecil Moore wrote: Jim Kelley wrote: One should also carefully consider the more interesting variation of the problem: an open transmission line. In the steady state we have 100 watts forward, 100 watts reflected, 200 Joules in the line, and 0 watts being sourced by the generator. :-) Expanding on my earlier response - For the first two seconds, the source doesn't know it is looking into an open transmission line so a 100 watt source would faithfully output 200 joules into a one second long open circuit transmission line. That 200 joules cannot be destroyed. Is it mere coincidence that the forward and reflected waves are 100 joules/sec*(one second), exactly equal to the 200 joules supplied by the source? But you're missing, or trying to circumvent, the most interesting aspect of the problem. It's the one which highlights the very core of our disagreement. The energy stored in the line, remains stored in the line as long as steady state is maintained without a single Joule of additional energy moving into or out of the line. To me, this illustrates clearly how the fields at the impedance interfaces of a matching transformer can be maintained without requiring multiple rereflections of energy. I'm hoping some day you'll see it too. 73, ac6xg |
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