Keith Dysart wrote:
You should also consider a shortened monopole
where lumped elements are used to tune out
the reactance.

Please feel free to pursue that line of
development if you are so inclined.

Since lumped elements do not exist in reality,
they are outside of the scope of real-world
75m mobile loading coils that I am trying to
cover here. I am not proposing a theory of
everything nor do I intend to waste my time
with such. But be my guest.

The ARRL Antenna Book equations for a small loop
are "wrong" for a large loop. Moral: Recognize
the limitations of the model being used.

Lastly, for real fun, find the 90 degree
"electrical length" in a crystal.

Even Einstein's theory of relativity has its
limitations. It is a diversion to try to
require every model to cover every real and
imagined possibility.
--
73, Cecil http://www.w5dxp.com