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Old May 3rd 06, 07:14 PM posted to rec.radio.amateur.antenna
Dave
 
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Default A little more on missing degrees

Cecil Moore wrote:

SNIPPED

Quoting from the Corum paper concerning self resonance
of a coil:

"The forward and backward traveling waves have superposed
to give this voltage standing wave distribution along the
resonator. There is a voltage null at the base, a voltage
maximum at the top, and a sine wave envelope along the
structure." That defines 90 degrees of coil.

For the standing wave, there are 90 degrees between a voltage
null and a voltage maximum. The voltage maximum at the top
of the coil corresponds to the current null existing there
because the current has no place to go. The voltage null at
the base corresponds to the current maximum there which is
a necessary condition for self resonance. There's 90 degrees
between a voltage null and a voltage maximum. There's 90
degrees between a current null and a current maximum.


Under that definition my 8 foot high mobile antenna has a voltage
maximum at the top and a current maximum at the base and must,
therefore, be 90 degrees long. But, it is physically only 16 degrees
long [8/43.5 @ 5.37 MHz]. Now it is 5 degrees long above the top of the
coil and 10 degrees long below the coil ... ad nauseum [ for another 2
months ] ...

Where is the other 74 degrees?? This is the question that started this
2 month discussion.

Is there a fallacy in Corum's paper?

Does Corum's paper apply to a combination of a loading coil and
radiating elements?

My reasoning is as follows: if I draw a phasor diagram, I have +10
degrees phase shift from the feed point to the base of the coil. I can
then assume a +90 degree phase shift in the coil, classical inductive
response; then, the 'stinger', from the top of the coil to the tip of
the antenna produces a net -10 degree phase shift from both inductive[+]
and capacitive[-] effects resulting in a net 90 degree phase shift for
the full eight foot antenna.

Am I being too simplistic?

I conclude that I have a 16 degree long antenna with a feedpoint
resistance of ~13 ohms [ Rr = ~1.0 ohm and Rloss = ~12 ohms] with zero
ohms reactance [resonant]. [And that the phase shifts stated above are
fundamentally correct.]

 
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