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#481
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The Rest of the Story
Keith Dysart wrote:
Is this a standard ideal voltage source ... Let's save that discussion for later by dropping Vs out of the example. The specific characteristics of the source need not be known for the following subset problem which, I believe, is the source of our disagreement, having nothing to do with Vs. In fact, Vs can be located one wavelength away from Rs and steady-state conditions will be the same. Let's take a close look at what is happening only on each side of Rs in this previous example. 100v Vg Gnd---Vs--x--Rs--+----45deg-50ohm---------short The following are given: A 100% 50 ohm environment by definition. Reference Voltage = 100v RMS at point 'x' Rho = 0.4472 @ 63.4 deg at point 'x' Rho^2 = 0.2 and an ideal 50 ohm directional wattmeter will provide the following indications. 100v Rs=50ohms Vg ------------x---/\/\/\/\/---+-------------- Pf1=125w-- Prs=100w Pf2=50w-- --Pr1=25w --Pr2=50w These are the energy components that you say do not balance. But I didn't see Pf1(t) or Pr1(t) in any of your previous equations. I suggest you will discover that the destructive interference on one side of Rs is exactly balanced by the constructive interference on the other side. -- 73, Cecil http://www.w5dxp.com |
#482
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The Rest of the Story
Cecil Moore wrote:
Gene Fuller wrote: Dump Hecht ... Dump Gene Fuller. :-) Cecil, Since you are so concerned about ethics these days I suppose this was an ethical ad hominem. I have been away for about a month, but it is no surprise to see that this thread lingers on. Fortunately, it appears that all of the technical issues have been decided in favor of well established science. Unfortunately, bickering over the exact meaning of ordinary words remains. 8-) 73, Gene W4SZ |
#483
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The Rest of the Story
Gene Fuller wrote:
Fortunately, it appears that all of the technical issues have been decided in favor of well established science. Yes, the distributed network analysis is well established science. Too bad the lumped circuit zealots can't see that and still assert almost zero delays through a 75m bugcatcher coil. It seems that all energies balance perfectly when the distributed network analysis is used for the entire example rather than just half of the example. -- 73, Cecil http://www.w5dxp.com |
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