On Apr 14, 10:10*am, Cecil Moore wrote:
Keith Dysart wrote:
All the elements
of the system are completely specified in Fig 1-1 and we used
circuit theory to compute the energy flows. Not surprisingly, they
completely balanced:
* *Ps(t) = Prs(t) + Pg(t)
Yes, but that is only *NET* energy flow and says nothing
about component energy flow. Everything is already known
about net energy flow and there are no arguments about it
so you are wasting your time.
Ahhh, but there is then agreement that energy flows (power) must
be in balance to satisfy conservation of energy.
Your equation above completely
ignores reflections which is the subject of the thread.
That it does. We get to that later.
You object to me being satisfied with average energy flow
while you satisfy yourself with net energy flow. I don't see
one iota of conceptual difference between our two positions.
They are quite different. I am quite will to explore (and am
doing so) the concept of imputed energy flow in the reflected
wave. It is just that it comes up short since there is no
explanation of where the energy goes. Were an adequate
explanation to be offered, I would quite accept it.
After hundreds of postings, all you have proved is that
Eugene Hecht was right when he said instantaneous powers
are "of limited utility", such that you cannot even tell
me how many joules there are in 100 watts of instantaneous
power when it is the quantity of those very joules that
are required to be conserved and not the 100 watts.
You should tread back through the posts, the question was
answered.
The limit in your quest for tracking instantaneous energy
is knowing the position and momentum of each individual
electron. Good luck on that one.
I am going to summarize the results of my Part 1 article
and be done with it.
In the special case presented in Part 1, there are only
two sources of power dissipation in the entire system,
the load resistor and the source resistor.
Three! The source can also take energy from the system.
Since you have overlooked the source, the rest of your
post is quite flawed in its conclusions.
None of the
reflected energy is dissipated in the load resistor
because the chosen special conditions prohibit reflections
from the source resistor. Therefore, all of the energy not
dissipated in the load resistor is dissipated in the source
resistor because there is no other source of dissipation
in the entire system. Only RL and Rs exist. Pr is not
dissipated in RL. Where is Pr dissipated?
Well that is the question, isn't it? It could be in the source.
Or, if it can not be determined where the energy in
Pr goes,
then the only other answer is that
Pr does not represent an
energy flow. Think Sherlock: "when the impossible has been
eliminated the residuum, however improbable, must contain the
truth."
Even my ten year
old grandson can solve that problem and he's no future
rocket scientist.
Ah yes, but was he presented with ALL the options?
...Keith