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Richard Harrison wrote:
Keith wrote: "2) At quarter wave points along this line, voltages and currents which are always 0 can be observed -- the standing wave." This is proof positive in Keith`s own words that the first 0-volt point encountered by either forward or reflected wave is completely ineffective in halting or abating progress of the waves. Keith also wrote: "6) From 2) and 5), the power (rate of energy flow) at quarter wave points will be 0." The contradiction is obvious. Were energy flow or power reduced by SWR zeros, you would not have multiple zeros along the line. Your analysis overlooks that we are discussing an ideal line that has reached steady state. Before the line reaches steady state, energy does cross the quarter wave points, but, of course, while this is happening the voltages and currents at the quarter wave points are not yet zero. As an aside, were we to discuss a line that was not open or shorted but rather terminated in other than its characteristic impedance, we would still find voltage and current minimas. At these minima, rather than the energy flow being 0 as it is for a shorted or open line, the energy flow (power) is exactly the energy being delivered down the line. Something similar occurs while an opern or shorted line is approaching steady state. ....Keith |
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