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John, N9JG wrote:
The 1986 handbook has the details for this type of antenna on page 33-14, under the title of "Simple Antennas for HF Portable Operation." For 7.15 MHz, the value of the capacitor is 152 pF, and the length of the matching stub is 6'11-1/2". An open-end stub, made from twin lead, of length 20'-1/2" can be substituted for the capacitor. It might be interesting to some to explain how/why this works. On a feedline with reflections, there are purely resistive current maximum points existing every half-wavelength up and down the feedline. Since the resistance at the current maximum point is often in the ballpark of 50 ohms, this is often a logical point at which to connect the transmitter/tuner. That's why I feed my 130 foot dipole at a current maximum point on each HF band. However, for a folded dipole with a 300 ohm resonant impedance fed with 300 ohm feedline, there are no reflections and therefore no current maximum points because there are no standing waves. So the trick is to cause a 50 ohm current maximum point to occur by causing reflections and standing waves on a short piece of series matching section. A parallel capacitor can often accomplish this function. Obviously, a capacitive stub can do the same thing. Note: the following calculations were done with a paper Smith Chart and therefore suffer from some inaccuracies. A parallel capacitive reactance of -j150 ohms will shift the 300+j0 ohm impedance to 60-j120 ohms. Some may want to refresh their memories on the parallel/series and series/parallel impedance equations. 60-j120 ohms will cause an SWR of ~6:1 from the point where the capacitor is installed on a flat 300 ohm feedline to the necessary 1:1 choke/balun. If we divide the 300 ohm Z0 by the SWR, we will obtain the resistance at the 6:1 SWR current maximum point. That value is 300/6 = 50 ohms and it exists ~0.062 wavelengths farther along than the 60-j120 point where the cap is located. The cap needs to cause an SWR of 9:1 if flat 450 ohm line is used and 12:1 if flat 600 ohm line in used. Needless to say, the Z0 of the line determines the value of capacitive reactance that is necessary to accomplish that function. -- 73, Cecil http://www.qsl.net/w5dxp |
#2
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On Wed, 15 Feb 2006 22:44:00 GMT, Cecil Moore wrote:
It might be interesting to some to explain how/why this works. .... Some thoughts on why it might not work to plan, though it should be close to plan and capable of fine adjustment if needed. Worth noting that the characteristic impedance of some lines is quite different to their market labelling, especially 300 ohm and 450 ohm lines. In this part of the world, nominal 300 ohm TV ribbon is more like 360. Wes measured a range of nominal 450 ohm lines to be from 360 to 400 ohms. Although the calculated answer might be a shunt capacitor of 147pF, in practice a close value would be used and both the dipole length and feedline length could be juggled for better match if needed. Alternatively, a shunt stub could be used and tuned along with the series line length. The feed point impedance of the dipole will depend on its environment to some extent, and may be reactive if formulas are used to cut it to length. Of course, it is a one-band matching arrangment. Owen -- |
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