If the currents are going in the same direction then why are the diaphragms moving in opposite directions?
Because that depends upon the polarity of the magnetic field generated by the coil on each half cycle, which in turn depends upon which way the current is flowing through that coil on that half cycle. And which way the current flows through the speaker coil on any half cycle can be changed by simply swapping the connections over, as I described above.
What if you connected those two speakers in parallel across a single transformer winding supplying a suitably low voltage at an appropriate frequency? No centre tap connections to worry about. You wouldn't try to argue that the source is anything but single phase, would you?
But just as with the series connection, you could have the speakers moving in-phase or anti-phase, depending upon which way round they're connected in parallel relative to each other. Connect +ve of each speaker to one side of the supply and -ve of each to the other, and they'll move in the same direction on each half cycle - The normal arrangement we would want when using multiple speakers. Swap the connections to one of the speakers, and you'll have them moving in opposite directions on each half cycle. But that's all still from a single phase source.
You still keep failing to look at the two voltages, and two currents, with respect to the common point, i.e. the mid point.
I think maybe the problem is that that's
all you seem to be looking at. With no neutral current, at the xfmr mid point the current flowing towards the centre tap from one half of the winding is matched by that flowing away from it to the other half. How could it do anything else?
Select any random point along the conductor in a circuit in which current's flowing and the current must be flowing toward that point from one direction and away from it in the other. It has to. where else could it go?
No, because you are observing the currents flowing in the lamps with respect to the mid point,
Why? The absolute direction of the current through each lamp at any given moment hasn't changed just because you've added the neutral connection. And if you didn't have that third wire to the xfmt c.t. in place, the current at the c.t. would
still be flowing toward it from one half of winding and away from it in the other, wouldn't it? Putting an earth on the c.t. and adding a neutral wire doesn't change that.
Yes, but when measuring the currents with respect to the mid point then they will be out of phase.
Put two 120V lamps in series and plug them into a 13A socket providing single phase power. Now measure the currents in each lamp
with respect to the mid point between the lamps and you'll still see the current flowing towards that mid point from one lamp and away from it to the other. Has that somehow created a two phase system?