K7ITM wrote:
(Yawn) So, I have this system where there's a wave in each direction
and they are identical amplitudes so that there is zero loss to
radiation or thermal dissipation. And in this system there is a series
coil through which the waves pass, and the current at each end of the
coil is different amplitude. That means that the coulombs/second
passing a point at one end of the coil is different than the
coulombs/second passing the other end of the coil.
Sorry, you are wrong about that. Here's why. For simplicity,
let's assume the coil is lossless, 45 degrees long, and the
forward and reflected current magnitudes are both equal to
one amp. These assumptions are for purposes of illustration
only.
One amp of forward current is flowing into the coil and one
amp of forward current is flowing out of the coil. Charge is
balanced.
One amp of reflected current is flowing into the coil and one
amp of reflected current is flowing out of the coil. Charge is
balanced.
Note there is ZERO charge imbalance in the coil. The forward
and reflected currents are all there are and they are balanced.
The forward current at the bottom of the coil is 1 amp at zero
degrees. The reflected current at the bottom of the coil is 1
amp at zero degrees. Adding them together yields a standing
wave current of 2 amps at zero degrees. Do you know how to
do phasor math?
The forward current at the top of the coil is 1 amp at -45
degrees. The reflected current at the top of the coil is
1 amp at +45 degrees. Adding them together yields a standing
wave current of 1.414 amps at zero degrees. Do you know how
to do phasor math?
The standing wave current at the bottom of the coil is 2 amps.
The standing wave current at the top of the coil is 1.414 amps.
THERE IS *NO CURRENT IMBALANCE* BECAUSE THAT STANDING WAVE CURRENT
IS NOT REALLY FLOWING. IT IS JUST STANDING THERE. That's the
entire point.
What happens to that imbalance in charge?
Imbalance in charge is a myth, an old wives' tale. There is NO
imbalance in charge. SEE ABOVE!
--
73, Cecil
http://www.qsl.net/w5dxp