When a full quarter wave will not fit — 80m, 160m, or anything mobile — a loading coil makes up the electrical length the wire is missing. This works out the inductance the antenna needs, then the turns to wind for it on the form you actually have.
Make a short vertical resonant with a loading coil.
When a full quarter wave will not fit — 80m, 160m, or anything mobile — a loading coil makes up the electrical length the wire is missing.
Change the winding length and the turns change while the inductance stays put. That is correct. The inductance is a property of the antenna — it is however much electrical length your element is missing at that frequency — and it does not care what the coil looks like. A longer coil simply needs more turns to reach the same inductance, so a short fat coil and a long thin one can both be right. On a 16.4 ft element at 3.5 MHz, 61.9 µH is 26 turns over 1 inch or 61 turns over 12.
Loading shortens the antenna at a real cost: narrower bandwidth and lower efficiency, and both get worse the shorter you go. Radials or a good ground matter as much here as the coil does — a very short loaded vertical over poor ground puts most of your power into warming the dirt.