Consider a real transformer.
There is no question that if
Vx1 - Vx2 = Vx3 - Vx4 = 120V @ 0
Then
Vx4 - Vx3 = - 120V @ 0 = 120V @ 180.
You can have it both ways.
Which once again only models the secondary side with an equivalent circuit. Which again is fine when you're not concerned with the
physical construction of the transformer and
not trying to pass an exam. So you're statement "Consider a
real transformer." (emphasis added) is the bogus part. You're equations are neglecting the
real part of a
real transformer that induces a
real single phase, single polarity voltage across the
entire secondary coil set. It doesn't induce the top and bottom separately.
They are mathematically and functionally equivalent but physically different.
And that's more a fact than how people deal with gravity.
Original idea: Heavy objects fall faster.
Next idea: Gravity is a constant so objects fall at the same rate.
Next idea: But only if you neglect wind resistance et al.
Actual fact: Gravitation pull is dependant on TOTAL mass not just the EARTH mass. Therefore more massive objects actually do fall faster. (neglecting wind et al)
Practical fact: Faster out at a kazillion decimal points so who cares?
Exception: Rocket and quantum scientists.
So who cares about how you set up your equations? People designing transformers and engineering students trying to pass an exam. Oh yeah, some old engineers that like purity in expression.
