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On Apr 9, 3:03*pm, Roy Lewallen wrote:
Keith Dysart wrote: On Apr 8, 8:51 am, Cecil Moore wrote: . . . The forward wave flows unimpeded through the node as does the equal magnitude reflected wave. The net energy flow is zero. The average energy flow is zero. Anyone who believes there is zero energy at a standing- wave current node should touch that point on a transmission line (which just happens to be the same point as the maximum voltage anti-node). No one has said there is zero energy. Only that there is zero energy flow. For energy flow, one needs simultaneous voltage and current. . . . In the interesting case of a current node on an infinite-SWR line, it appears we do have energy flow without any current, and therefore without power. Energy flows into the node from both directions in equal amounts at the same time, and out to both directions in equal amounts at the same time. I think I would be tempted to cut the node down the middle creating two nodes with no current flow or energy flow between them. What we don't have is *net* energy flow at the node. Likewise, there's charge flowing into the node from both directions, and out in both directions, which results in the zero net current. I don't believe that's the same as saying there's no energy or charge flow at all, even though the power and current are zero. And it's not necessary to separately consider forward and reverse waves of current, energy, or power in order to observe this -- it can be seen from looking only at the total charge or energy. One thought experiment I rather like is the infinite SWR ideal line. Cut the line at all the current zeroes. The voltage, current, and, I'd suggest, the energy distribution do not change. The line can be re-assembled, again with no change. Those who argue that energy is crossing the node, have to explain that the cut has completely changed the mechanism that keeps the net energy in its place, but the voltage and current distributions remain the same. I prefer the basic circuit theory tenet that one can cut a line carrying no current without impacting the circuit. This leads to a model with no energy crossing the node. ...Keith |
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