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Tom sez,
I have a note I made some time ago in a reference book that says, "Neglecting dielectric loss, if Zo = Ro+jXo, Xo is approximately -0.180*Ro*A100*VF/f" where A100 is the attenuation in dB/100 feet and f is the frequency in MHz. There. Now, at least for RF, people should be able to generate their own tables. ============================= Your formula is correct and indeed approximate. But it's not of much use unless you already know Ro, A100 and VF, all of which vary with frequency. It is approximate because it ignores a correction factor related to Sqr{(Wire Resistance) / (Wire inductive reactance)} which varies fast with frequency. At sufficiently high frequencies, where Ro (whatever that value may be), A100 and VF have settled down, all that is necessary is to set Xo equal to zero and be done with it, just like book-cooking Mr Smith of chart fame did in 1938. I produced the table to illustrate the peculiar unexpected effects which occur with the smaller, popular diameter coax cables as used by amateurs. I used the words "typical" and "type" in anticipation of remarks such as yours from already educated people. The table applies closely to RG-58. RG-11, as you pointed out, is 75-ohm nominal but its characteristics behave in a similar fashion. It should be stated that twin, balanced lines of all impedances behave in the same way except that their HF characteristics extend down to considerably lower frequencies. I had in mind there are now LF amateur bands and anyone who may wish to do transmission line calculations or use his SWR meter at low frequencies should be warned against measuring errors. It's obvious he wouldn't get much help from the present un-ending thread on that subject. ;o) Use programs COAXPAIR and RJELINE3 for design and performance of transmission lines from power frequencies, audio frquencies, up to UHF using exact classical methods of analysis. Enter data in practical units and obtain results in the form you are accustomed to using. Everybody is familiar with the 1.5-inch diameter wires spaced 12 feet apart striding across the countryside. Have you ever wondered what a 500-mile length would sound like with a telephone at each end? ---- ======================= Regards from Reg, G4FGQ For Free Radio Design Software go to http://www.g4fgq.com ======================= Cheers, Tom "Reg Edwards" wrote in message ... For anyone who may be interested. Typical of RG-58 and RG-11 type cables. Zo = Ro - jXo Xo is always negative. Angle of Zo in degrees. Always negative. VF = relative velocity. Freq Ro jXo Angle VF ------ ------ ------ ------ ------ 50 Hz 967 -965 -44.95 0.034 1 kHz 220 -213 -44 0.151 10 kHz 80 -58 -36 0.41 100 kHz 56 -9.3 -9.5 0.59 1 MHz 52.4 -2.4 -2.7 0.63 10 MHz 50.7 -0.76 -0.86 0.65 100 MHz 50.2 -0.23 -0.27 0.66 Smith Chart calculations begin to be inaccurate around 2 MHz and below. So do SWR meters. |
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