No I don't. I only have to establish that the
phase value of the voltage functions is the same. Which I have demonstrated many ways, many times. Although no one seems to have noticed it until recently.
In my
original entry into this morass I said, "...
phase is not an
electrical concept; it has
nothing to do with Volts, Amps,
polarity, amplitude, Ohm?s Law, Kirchhoff?s Laws, Ampere?s Law, Lenz?s Law, Coulomb?s Law, or any other ?law? derivable from Maxwell?s equations." - It's MATH.
Write the voltage function correctly for ANY arbitray set of points you desire and, for a properly installed residential 120/240V system, the
phase value for each and every voltage function will ultimately resolve to
Φ(t)= wt+Φ. It's simple trig/algebra.