Re: Speaking of resonance...

> > ...Besides the thing burning up from resistance? Will an extremely long,
> > thin coil wound with thick wire have the same properties of an equally
> > inductive very short coil of large area and high N^2/l ratio?
> At low frequency, not, but coils are actually a kind of transmission
> line,
> and the high-frequency effects that come from this depend on the aspect
> ratio, and on how is the coil mounted relative to the ground. For a
> vertically mounted coil with the lower end grounded, the first effect 
> that appears is equivalent to a grounded capacitance in parallel with
> the 
> coil, given by (units in meters) (Medhurst):
> C= 11.6*length+16*radius+76.4*(radius^3/length)^0.5 picofarads
> There are other effects of smaller importance, as additional resonance 
> modes and irradiation, that vary with the aspect ratio and position too.

I would like to add my comment here, purely for information sharing. You
cannot use simple transmission line model to work out the resonant frequency
of a coil. The free-space wavelength calculation based on a simple 
transmission line model is mainly intended for a straight uncoupled line. 
A multi-turned coil should be analysed using the transmission line coupling
model,  if you choose to analyse a coil for HF application, (ie. freq. > 
500 Mega Hertz). 

You will find that all the ordinary transformer coils will not end up with
"high quality" resonance when working at a frequency higher than this range
mainly because of its standing wave effect and directional coupling effect.   
If i understand correctly, Tesla had proposed a very clever approach in one
his patent ---  apparently similar to what you mentioned, plus making two 
transmission planes orthogonal  to each other to minimize the their
coupling effects.