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Old March 27th 06, 04:03 AM posted to rec.radio.amateur.antenna
K7ITM
 
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Default Current through coils

A bit more on this...

I trust it's an accurate summary to say that Cecil gave us the
"forward" and "reflected" currents at both ends of a coil, and
correctly deduced the standing-wave currents at each end from those.
But given that information, Cecil is unable (and believes it is
impossible) to determine the net charge in the volume containing the
coil as a function of time (to within a constant, at least), even
though the the wires in which we know the currents are the only way for
charge to get in and out of that volume. I do hope we can at least
agree that current is the rate at which charge passes a point...

And I do hope most folk tuned in here don't have so much trouble with
it.

Farewell, goodbye, auf wiedersehen, adieu...

Tom

Cecil wrote:
"K7ITM wrote:
OK, so the difference in "FORWARD" current from the bottom to the top
is:
fwd.bottom.current - fwd.top.current
= 1A at 0 degrees - 1 amp at -45 degrees
= 1+j0 - sqrt(.5)-j*sqrt(.5)
= 1-sqrt(.5) + j*sqrt(.5)
(about 0.765 at 67.5 degrees)


That is truly magic. Someone must have slept through class that
day.

Good grief! You can't subtract two currents that are a foot apart
from each other. Currents superpose at a point. Currents from
each end of the coil a foot apart don't superpose. They don't
even know each other exist. Good Grief!

Ifor=1A at 0 deg Ifor=1A at -45 deg
-----------------X-/////////-Y------------------
Iref=1A at 0 deg Iref=1A at +45 deg

The forward current superposes with the reflected current at the
bottom of the coil to get 2 amps at zero degrees. The forward
current superposes with the reflected current at the top of the
coil to get 1.4 amps at zero degrees. The delay through the coil
is 45 degrees.

Neglecting losses:
The energy in the forward wave is the same at the top and bottom
of the coil. The energy in the reflected wave is the same at
the top and bottom of the coil. There is zero net steady-state
energy storage between the top and bottom of the coil. There's
no RF battery there.
--
73, Cecil http://www.qsl.net/w5dxp "

 
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