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Old March 22nd 08, 02:38 PM posted to rec.radio.amateur.antenna
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Default The Rest of the Story

Keith Dysart wrote:
To me it was a complete
surprise that summing the voltages produces the correct
total voltages and, at the same time, summing the powers
(which are a squared function of the voltage) also
produce the correct result.


Why is that a surprise to you? I have been telling you
for many days about that special case whe

(V1^2 + V2^2) = (V1 + V2)^2 for zero interference

This applies equally well to phasors or instantaneous
values of voltage. The above special case is what my
Part 1 article is all about.

Since a 45 degree long transmission line forces the
above RMS voltage equation to be true for all values of
resistive loads, the *average* reflected power based on
RMS voltage values is *always* dissipated in the source
resistor. Since a conservation of power principle does
not exist, it is perfectly acceptable for destructive
interference energy to be stored for part of the cycle
and be dissipated later in the cycle.

So
Pg(t) = Pf.g(t) + Pr.g(t)
is always true.


Of course it is true but it says absolutely nothing about
the dissipation of the reflected power in the source resistor
which is the subject of the discussion. The above equation
remains always true while the dissipation of the reflected
power in the source resistor varies from 0% to 100%.
--
73, Cecil http://www.w5dxp.com
 
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