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![]() Seems to be, indeed, though you never know. The lurkers may well have learned a thing or two. The one reference you did post now disavows the form you posted. You've been invited to do some simple math that would show you the truth and you apparently refuse. You are posting any number of ideas contrary to what's easy to show from fundamentals and what's in a large number of published papers and texts and what has been posted here by many contributors recently and over the years. It's been done with both symbolic math and specific examples. Several inconsistencies demonstrate clearly that Vr/Vf does NOT equal (Zload-Zo*)/(Zload+Zo), and of course most certainly a (Zload-Zo) denominator is going to get you quickly into trouble. The inconsistencies have been pointed out here by me and by others, but apparently you've missed them. I'm sure it's apparent to most lurking where the communications is breaking down. But the formulas you posted above have given me a good laugh tonight, at least! Thanks! Cheers, Tom When a fine engineer, with a good education and a distinguished career, stoops to argue with an anonymous fellow who doesn't have a firm grasp of even the most basic ideas of wave mechanics, the result is bound to be a certain amount of frustration. You might want to ask yourself, Tom, whether Slick is arguing in good faith, or whether he has other motives. 73, Tom Donaly, KA6RUH |