Thread: Brainteaser
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Old May 31st 06, 12:20 AM posted to rec.radio.amateur.antenna
Jim Kelley
 
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Default Brainteaser

Richard,

I'm pretty sure steady state isn't
achieved in that short a time when there
are significant reflections on a line
that long.

Consider this. Initially, forward power
from a 100 Joule per second source is,
naturally, just 100 Joules per second.
After one second, (the first second in
particular), there should be 100 Joules
on the line.

It follows that the initial reflection
would be 50 watts. When we assume that
everything is re-reflected from the
source, then at two seconds the forward
power at the front of the line would be
150 watts. At four seconds, 175 watts;
six seconds, 187.5; eight seconds,
193.75, and so on.

When the number finally reaches 200
Joules per second at the load, the
reflected power would have become 100
Joules per second back at the source one
second earlier. At that point we can
multiply the sum of forward and
reflected power by the length of the
line in seconds and gleefully announce
that 300 Joules are being/have been
stored in/on/at the xmission line.

73, ac6xg


Richard Harrison wrote:

I`ll speculate that after one second, 200 joules are contained in the
forward wave on that line. Then, after two seconds, another 100 joules
has been reflected back toward the line feedpoint where it opposes
growth of power input to the line. Total joules on the line is 300.

Forward power minus the reflected power equals 100 watts being supplied
by the generator to the load with 200 watts forward power and 100 watts
reflrcted power in the line.

Best regards, Richard Harrison, KB5WZI