Richard Harrison wrote:

Keith wrote:
"Is it step 7)?"

"7) From 6), the energy crossing quarter wave points is zero"

False, as are several other of Keith`s speculations.

I do not see any flaw in step 7).

Assuming that step 6)
"6) From 2) and 5), the power (rate of energy flowing) at quarter
wave points will be 0"
is correct, then step 7)
"7) From 6), the energy crossing quarter wave points is 0"
must also be true, since,

If the rate of energy flowing is zero, then there is no energy
flowing so there can not be any energy crossing the point.

I do not find that step 7) is in error.

If there is an error in the final conclusion then I do not think
that it is an error in step 7) which causes the final error,
but, rather, the error must be in one of the earlier steps.

....Keith