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Howdy,
That's an excellent point. I expect that the sections of the coil in question will not have very good coupling. I hadn't considered it! I calculate the same inductance values. Bah! In my previous posts the "(sqrtL*C)" should be "(1/sqrtL*C)" Heh... with a pencil and paper the formula turned out right. I noticed this when I calculated the resonance of the two values 16.32uH and 11.54uH with an arbitrary value of 50pF just to verify how I thought things should be. So from this I gather that the extension of the coil connected to the grid circuit will have even less effect on the tuning than I expected. The Easy Teenage NewYork method of solving this would be to put the problem into SPICE with the estimated coupling coefficent of 0.2. I've never liked shorting turns to reduce an inductance. Seems like an avoidable source of some losses no matter how you slice it. But for some long coils, like antennas, it works ok. I guess. K7ITM wrote in : One thing to be a bit careful about is including the coupling between the coil sections. Since I don't know how those particular coils were designed, I can't say for sure, but in general the coupling between pieces of the coil isn't as high as you might think. You can make a good estimate for typical HF single-layer air-core solenoid coils just using your favorite coil calculation. For example, consider a coil that's one inch diameter, two inches long, 20 turns per inch, and tapped at the 30th turn (1.5 inches) up from the bottom. Then the whole coil is about 16.32uH, the 1.5" part is about 11.54uH, and the top 0.5" is about 2.63uH. If the coupling were perfect between the sections, I believe the inductance of the whole would be about 11.54uH + 2.63uH + 2*sqrt(11.54*2.63)uH = 25.19uH. At 16.32uH for the whole coil, the implied coupling coefficient between those two sections is only about 0.20, and you need to be careful to not think of the tapped coil as simply a transformer with a 3:1 turns ratio, with implied close coupling between the sections. (This also illustrates why you can short out turns of a tank coil without totally killing the net inductance...) I trust if I've hosed the calculation too badly, someone will point out the error of my ways. ;-) Cheers, Tom |
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