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On Sun, 17 Aug 2003 18:16:42 -0700, Roy Lewallen
wrote: Interesting stuff snipped Magid has the most rigorous derivation of power and energy flow on transmission lines I've seen, as well as other extensive transmission line information. One conclusion that pricked my ears was that on a line with a pure standing wave (e.g., a lossless line terminated with an open or short circuit), ". . . power (and therefore, energy) is completely trapped within each [lambda]/4 section of this lossless line, never able to cross the zero-power points and thus constrained forever to rattle to and fro within each quarter-wave section of this line." I had reached this same conclusion some time ago, but realized I hadn't properly evaluated the constant term when integrating power to find the energy. But I didn't want to get into the endless shouting match going on in the newsgroup, and dropped it before going back and fixing my derivation. Hopefully some of the participants in power and energy discussions will read Magid's analysis before resuming. I found this book used at a very modest price. Roy: Interesting point and I don't recall reading or hearing it elsewhere. The following is dashed off without fully thinking it through, so no warranty on its accuracy. If you think of a sound wave (longitudinal transmission, of course) in a lossless acoustic transmission line terminated with a short, the individual air molecules within each 1/4 wave section are likewise trapped since at the 1/4 wave points there is zero sound pressure. This may be a useful analogy for the electromagnetic transverse propagating T-line. Jack K8ZOA |
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