Roy Lewallen wrote:
Have you come across such a set of equations in
your searches through your textbooks, or are the authors unaware of
Cecil's theories?

I can't take credit for them, Roy, since I studied them at
Texas A&M in the 50's. Much of it appears in Ramo and
Whinnery's "Fields and Waves" and Johnson's "Transmission
Lines and Networks". They are just the rules of the
distributed network model of which the lumped-circuit
model is a subset. In any situation where the lumped-
circuit model yields different results than the
distributed-network model, the lumped-circuit model
is wrong.

The lumped-circuit model presupposes the conclusions
that some people are presenting as fact. Obviously,
the lumped-circuit cannot be presented as evidence
of proof of its presuppositions. But it appears that
is exactly what has happened. The lumped-circuit
model presupposes faster than light propagation
of signals. That alone should be enough to raise
a red flag. Can someone prove faster than light
speed by quoting the presuppositions of the
lumped-circuit model?

Quoting Dr. Corum again: "Lumped circuit theory
isn't absolute truth, it's only an analytical
theory ... The engineer must either use Maxwell's
equations or distributed elements to model reality."

My 75m bugcatcher meets his criteria for situations
where his VF equations work. It yields a VF of
0.0175 for the bugcatcher coil. That VF works
just like the 0.66 VF works for RG-213. On a coil
physically like the W8JI test coil but with 50 uH
inductance, I see coil resonances at 9 MHz, 27 MHz,
and 45 MHz, just as if it were 1/4WL of transmission
line. It appears that the calculated VF works over
a wide frequency range.

To prove the presuppositions of the lumped-
circuit model, a standing wave current is
used to measure phase. We already know the phase
of a standing wave current is unchanging all
along a 1/2WL dipole, per Kraus, yet some people
keep using standing wave current with its unchanging
phase to try to measure phase shift as if it were a
valid thing to do. One cannot measure a phase shift
in 45 degrees of dipole using standing wave current.
Why is it surprising that one cannot measure a
phase shift in 45 degrees of coil? There's no
current phase shift from the top of the coil
to the tip of the antenna either.
--
73, Cecil http://www.qsl.net/w5dxp