BuckEye wrote:

Why does the coil make it that way.
Nowhere in any theory does it state that. Its just another ways to match the
coax to free air. That's all the antenna does.

Why do you keep trying to say its "electrically" a 1/4 wavelength. Just
because it
can be loaded with a matching device ? Shows a good match.
This could be taken to the extreme and if the antenna was reduced to only
one inch
in length, tuned and matched would it be electrically" a 1/4 wavelength .
No its just a resonate circuit with no relation to a
wavelength. In fact a conductor does not have to be any wavelength to
radiate at all.

Any antenna, even a straight piece of wire has inductance at radio
freqencies. A 1/4 wave straight piece of wire will exhibit a certain
inductance at a certain frequency, shorten it to something less than a
1/4 wave and the inductance decreases. Add a coil to make up the missing
inductance and the antenna "looks" like a 1/4 wave again to the RF
source. Some of the power is dissipated as heat in the coil because of
the I/R losses of the coil.