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John Popelish wrote:
Can you use this example, with varying frequency to explore your assertion that the time delay (frequency times phase shift) of the coil varies little over a significant range of frequencies up to self resonance, and that that delay is about 1/4 cycle of the self resonant frequency? I will do that when my energy level returns after getting home at 2 am this morning. Note that anyone can download the EZNEC file from http://www.qsl.net/w5dxp/test316y.EZ A graph of delay versus frequency would be useful. It should show over what frequency range the coil acts mostly like a transmission line and where it acts mostly like something else (i.e. inductor, parallel resonant tank). This coil, operated below its self-resonant frequency, has phase shift of 15.68 degrees or ~0.044 wavelength (delay of 7.4 nS). Dr. Corum says anything over 15 degrees requires the distributed network model. 15 degrees will transform 50 ohms to 54+j120 ohms, causing SWR to be erroneously reported as 7:1 instead of 1:1. That sounds like too large an error to me. Since the lumped-circuit model assumes a delay of zero, i.e. faster than light, seems the use of the lumped-circuit model results in 100% error, or infinite error if one calculates it the other way. :-) BTW, one of the principles on the other side of the argument sent me a file with a worm in it. I guess he wanted to extend the silence caused by my trip by bringing down my computer. -- 73, Cecil http://www.qsl.net/w5dxp |
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