On Dec 5, 8:47 pm, "AI4QJ" wrote:
And I was making a big mistake considering it as a lumped component (like
the 1950's concept) until I was brought up to date here so I should not
badmouth ARRL. That photo using a thermocouple type ammeter on both ends of
the coil, where they even turned the coil upside down and repeated the
measurement was pretty convincing although there is enough controversy by
the people in this ng that it needs to be verified more. Going further, I am
still trying to consider how the extra angle can also be absorbed "into" an
impedance discontinuity. You are saying that 44 degrees phase shift is equal
to 44 degrees electrical length? Thus, using "phase shift", provided
(resistance free) by nature, it is possible to have electrical length over
zero physical length? I still have some considering to do on that one but it
is immensly interesting to say the least.

In your deliberations, do consider the case where the impedance
matching is obtained using lumped components. All of the "phase
shift" will then be occurring over 0 length.

I am reminded of the small joke:
Three people need to rent a room for the night. The each give the
clerk
$10 for a total of $30. The clerk realizes the price is $25 and gives
the
valet 5 one dollar bills to refund to the people. But it is hard to
split
$5 three ways, so they each take $1 and tip the valet $2.
So 3 people each paid $9 and the valet got $2 for a total of $29.
But the original was $30. Where did the extra $1 go?

Perhaps there is just no reason why the "phase shifts" should add
to 90. That would make the problem go away.

....Keith