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Old November 17th 07, 06:21 PM posted to rec.radio.amateur.antenna
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Posts: 2,951
Default Superposition

Hi Dave,

Your analysis, or critique rather, has been misdirected. In fact,
everyone has been suckered. Not unusual given the problem was crafted
to be disingenuous. It is, after all, this group's form of "Three
Card Monte." Can you pick the card that is the one-eyed Jack?

With a little re-ordering here....

On Sat, 17 Nov 2007 16:08:04 +0000, Dave wrote:

Wave#3 = Wave#1 superposed with Wave#2

Wave#3 is the only thing real here.

These two waves superpose to V = 92.38v and I = 1.85a
Note: P = 171 joules/sec

Superposition is a process that gives us a solution to a system that
exists, not a figurative one. However, the process of superposition
requires the suspension of reality to perform computation, and to
render the solution that is real.

yes, lets say source S1 supplies a voltage V1 into a load L1, where L1
is a pure 50 Ohm resistance.

Dave, herein lies everyone's presumption, and one that has been
"suggested" originally. What you "interpret" does not exist
independently. In fact, S1 has no independent existence (neither does
the other source). This is the artificial contrivance of partially
solving a superposition problem.

Let's simply look at these "suggestions:"
Wave#1: V = 50v at 0 deg, I = 1.0a at 0 deg, P = 50 joules/sec

In the reality of two waves, this artificial condition is arrived at
only through removing the second wave from the reality. And like
wise:

Wave#2: V = 50v at 45 deg, I = 1.0a at 45 deg, P = 50 joules/sec

In the reality of two waves, this artificial condition is arrived at
only through removing the first wave from the reality.

Neither of these artificial conditions actually exist in the reality
of superposed waves, and that is the con. The group has been fixated
on the separate artificial environments with their partial solutions
as though they actually exist independent of the reality of the
superposed, complete solution.

You have changed the circuit.


Of course he has. That is the allowed method of computing
superposition (he has in fact not done the full method of
superposition analysis - but that is immaterial to the discussion
except only to note that Cecil's posts are often rife with error).

The egregious error is found he
*During each second*, Wave#1 supplies 50 joules of energy

Wave #1 is not independent in reality, so the statement is wrong. What
is provided (50 joules) is only a partial solution in the method of
computing the superposition which for that computation, suspends
reality to examine the separate constituents in an artificial
environment.

73's
Richard Clark, KB7QHC
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Old November 17th 07, 06:23 PM posted to rec.radio.amateur.antenna
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Default Superposition

Dave wrote:
Since you have changed the circuit source 1 is connected to, you should
not be surprised it supplies a different power.


But these are not "sources" per se, they are EM
waves with a fixed constant energy content. EM waves
simply cannot, willy-nilly, increase their energy
content. The actual source could conceivably be
light-years away so it would take light-years to
increase the energy content of the EM waves.

So please tell us how a 50 watts/unit-area wave can
increase its energy content to 85.5 watts/unit-area
while being light-years away from any source.
--
73, Cecil http://www.w5dxp.com
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