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#1
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Cecil Moore wrote:
Jim Kelley wrote: Richard Harrison wrote: "Since the velocity with which the signal propagates along the helix wire approximates the velocity of light if the frequency is not too low (caveat is unimportant, see footnote in book), the axial field due to the signal advances with a velocity that is very closely the velocity of light multiplied by the ratio of helix pitch to helix circumference." Fig. 7-19 is certainly interesting. Cecil owes you a fruit basket I think. ;-) Unfortunately, I must disagree (very slightly) with Kraus. Using Kraus' concepts *verbatim*, the delay through a coil would be the same whether the wire is coiled up or straightened out (if I understand correctly what he is saying). On my web page at w5dxp.com/current2.htm I have a 30 turn coil with a diameter of 6" causing a 38 degree phase shift at 3.8 MHz. If the coil were straightened out, it would be about pi*6"*30 = 565 inches or 47 feet. Since a wavelength is about 259 feet at that frequency, 47 feet would be about 65 degrees. So Kraus' rule-of-thumb is off by about 70%. His VF would be about 0.009 where the actual VF is more like 0.106. 65 degrees of wire doesn't replace 65 degrees of antenna. In this case, 65 degrees of wire replaces 38 degrees of antenna. The "missing degrees" are in the impedance discontinuity between the coil and stinger. There is an interaction between turns that increases the VF of the coil so there is a very tiny grain of truth in what Tom says. The interaction between turns increases the coil VF from Kraus' 0.009 to the actual value of 0.016 but certainly not all the way to 1.0 as W8JI asserts. Kraus may have been off by 70% but W8JI is off by 6000% so it seems that Kraus was still a lot closer to the technical truth that W8JI ever was. Cecil, I don't have the third edition of Kraus' antennas book, but I do have the second edition. He does not make that simplified statement in the second edition. He has equations and charts showing how the Vf changes with the dimensions of the coil and the wavelength. He also references a paper by Chu and Jackson that is now about 60 years old. In that paper, the authors show that the Vf increases dramatically as the relative wavelength becomes longer with respect to the coil dimensions. 73, Gene W4SZ |
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#2
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Gene Fuller wrote:
I don't have the third edition of Kraus' antennas book, but I do have the second edition. He does not make that simplified statement in the second edition. I have the 3rd edition, but I have not been able to find the previous quotations. I certainly hope that I am not disagreeing with Kraus. "Coils" or "Loading Coils" are not even in the index. -- 73, Cecil http://www.w5dxp.com |
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