What if the neutral isn't grounded?
still the center point
since no load is connected to it
What if the neutral isn't grounded?
'in phase'
1/0 = 1 + 0j
1/0 = 1 + 0j
Vll = 1 + 0j + (-) (1 + 0j) = 0 + 0j = 0/ (arctan 0) = 0/0
the (-) must be in there since the loop is followed in 1 direction and opposed to at least one line
in other words NO voltage if 'in phase', ie, of the same phase
where is the math 'incorrect'?
Finally we get you to agree that switching polarity is just as good as shifting 180 degrees. Glad we're on the same page there.
Changes nothing. V1-n and V2-n are still in anti-phase.
Just as good but not the same thing. <ducks and covers>
No "shifting" takes place. You don't take one phase and shift it to get to the other. Polarity is a bit meaningless on alternating quantities. Both phase positive and negative over a cycle..Finally we get you to agree that switching polarity is just as good as shifting 180 degrees. Glad we're on the same page there.
No "shifting" takes place. You don't take one phase and shift it to get to the other.
Polarity is a bit meaningless on alternating quantities. Both phase positive and negative over a cycle..
No mathematics required. Hook up a two channel scope and you can visually observe the two difference phases.Semantics, in my opinion. If you like, using a -1 multiplier is just as good as adding 180 degrees to the input of a trigonometric function.
The dot notation indicates the start and finish of the winding, not its polarity.Sigh. It's not meaningless. Hook up the wrong dot end of the transformer core and you have a practical problem. This has been discussed.
If the math works to correctly predict the physical world, then the math is correct.
The math matches the electrical theory.
The fact is that you can do the math multiple different ways and get the same result.
All of these approaches are correct.
L1-N and L2-N are part of the same single phase system. They can quite reasonably and correctly be represented by two vectors, one 120V at 0 degrees and 120V at 180 degrees. That you _choose_ to use a different representation does not make this incorrect.
-Jon
Glad two people on this thread see eye to eye. :thumbsup:
Do you object to the common terminal being used as the reference?Sure, but earth is no longer the reference.
Polarity is a bit meaningless on alternating quantities. Both phase positive and negative over a cycle..
...
The dot notation indicates the start and finish of the winding, not its polarity.
Finally we get you to agree that switching polarity is just as good as shifting 180 degrees. Glad we're on the same page there.
No mathematics required. Hook up a two channel scope and you can visually observe the two difference phases.
...
Do you object to the common terminal being used as the reference?
They are in anti-phase, not opposite polarity.Right. The two different phases that are opposite polarity. :lol:
never said it wasn't
only that the phase angle IS the cause of the reversal