On Jun 26, 9:49*am, Cecil Moore wrote:
On Jun 25, 7:07*pm, Keith Dysart wrote:
Using superposition, when you add Vrev2(tau) to Vfor1(rho) you get
zero. With zero voltage comes 0 energy transfer.
Completing your above sentence: With zero voltage comes 0 energy
transfer *in the direction of travel of the original waves that were
superposed*. Assuming that you believe in the conservation of energy
principle, what happened to the energy in the two component voltage
waves necessary for their existence before they cancel each other?
The fundamental question is: "did they have energy?"
Let us express this as a hypothesis:
Hypothesis 1: The component voltage waves have energy.
Then it should follow that we can trace this energy and discover
where it goes.
At least three examples have been proposed where the energy can
not be properly traced:
Example 1: Step function applied to a transmission line. After the
line settles, a forward and reflected voltage wave
continue on the line but no energy is being transferred.
Example 2: On a line with infinite VSWR no energy crosses a
voltage minimum or maximum.
Example 3: With the 1/8 wavelength line described in
http://www.w5dxp.com/nointfr.htm the energy can not be
properly accounted for on a moment by moment basis.
Only one counter-example was needed to disprove the hypothesis,
three have been found. There may be more.
Hypothesis is disproved.
No matter how many examples are found that support the hypothesis,
the hypothesis is still disproved.
....Keith