Is the Superposition Principle invalid?
On Apr 2, 5:14 pm, Cecil Moore wrote:
Keith Dysart wrote:
It would appear that you are confusing the possible complexities
of a class C power amplifier with the simplicity of the generator
in the experiment I proposed.
The miracle
of rendering every circulator in the world obsolete by
adding a ten cent resistor is a miracle that you should
definitely pursue.
You raise an interesting question. What are the design tradeoffs
that drive choosing between a ten cent resistor and a circulator?
I suspect it relates mostly to the powers involved. The ten cent
resistor seems to see application in signal generators where the
extra power it dissipates is not of concern and it really is a
ten cent resistor. In high power applications, it definitely
would not be a ten cent resistor and having an amplifier which
can provide twice the normally required output voltage would be
far from efficient. It is perhaps here that a circulator finds
application driven by simple engineering cost-benefit tradeoffs.
- Will there be ghosts?
If the answer is yes...
- What is the magnitude of the first re-reflection?
The answer is yes, but you have not given enough
information to solve the problem. Again, please
furnish a math model of a real world source.
So why don't you prove my contention that the impedance
encountered by the reflected wave is 450 Ohms incorrect.
Here is how. Using my 450 Ohm value for the impedance
compute the reflection coefficient at the generator
using RC = (Z2-Z1)/(Z2_Z1). Using the various equations
for Vthrough, Vreflected, Ithrough and Ireflected, along
with superposition compute the various currents and
voltages within the system.
Then using Kirchoff's voltage and current laws, validate
all the nodal voltages and loop currents. If 450 Ohms is
not the appropriate impedance, then the validity check
will fail.
The beauty of this approach is that you do not need to
know what the actual value is, you merely need to prove
that it is not 450 Ohms.
I await the analysis.
....Keith
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