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Jim Kelley wrote:
Your claims about standing wave current are unadulterated bull crap. You are certainly free to produce the physics and mathematics to prove your assertion. Where is it? I have provided equations and references. Please tell me exactly which ones you dispute so I can quote them. Although some people do occasionally attempt to correct you where you have made a mistake ... The only mistakes of which I have been accused are poor choices of words to which I plead guilty. Nobody has accused me of invalid equations. What you are experiencing is the dumbing down of technical people where the lumped circuit model and "mashed potatoes" model of energy in a transmission line has taken over. The equation for standing waves has been quoted from "Optics", by Hecht; "... Optics", by Born and Wolf, "Fields and Waves ...", by Ramo and Whinnery, "Antennas ...", by Kraus, and "Antenna Theory", by Balanis. I strongly suspect you are capable of understanding those references. The following two equations are equivalent and are the equations for pure standing wave current as exists as the primary current on standing wave antennas. I(x,t) = 2(V+/Z0)cos(kx)*cos(wt) I(x,t) = (V+/Z0)[e^(jwt-kx) - e^(jwt-kx)] If you cannot look at those equations and see that the phase is unchanging relative to all points on the wire, you need to go back to school and hone your math skills. -- 73, Cecil, IEEE, OOTC, http://www.w5dxp.com |
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