If you split a apple PIE do you get two Pies?
So how do you get two phases?
AC = alternating current
An alternator is an electrical generator that converts mechanical energy to electrical energy in the form of alternating current. For reasons of cost and simplicity, most alternators use a rotating magnetic field with a stationary armature.[
https://en.wikipedia.org/wiki/AlternatorThe hands on a analog clock rotate.
Think of the center of clock as 0 Volts
Max Positive Volts is 12 o'clock.
Max Negative Volts is 6 o'clock.
This makes 3 o'clock & 9 o'clock also 0 Volts as Volts is vertical dimension.
Single phase states you have one hand on clock like hour hand.
60 Hz states that the hand is completing 60 rotations a second.
now when you look at the volt rating is states
RMS
RMS = Root mean square
so if you see "240 Volt RMS" the peak voltage is 1.414 x 240.
So the 12 o'clock position the max positive = 339.36 volts.
You use the sin table to compute a value based on rotation.
With one end at center you 0 volt connection.
As the hand rotates the other end goes from 12 o'clock around to 6 o'clock and back to 12 o'clock.
So single phase 240 volts is like hour hand rotating.
Going from 9 o'clock (0 volts) to 12 o'clock ( +339.36 volts) and around to 6 o'clock (-339.36 volts) and back to 9 o'clock.
Note that the hand is over 1/2 of the clock so the clock face is 678.72 volts in hight.
Split-phase is extending the hour hand to other side of circle. When one end of the hand is at 12 o'clock the outer end is at 6 o'clock.
You have three connections. The two hand tips and the center.
Using full clock face you have the clock face 339.36 volts in hight.
Max Positive (12 o'clock) = +169.68 volts
169.68 / 1.414 = 120 volts RMS
Three phase is 3 hour hands 60 degrees apart.
The center of the clock face is the Neutral connecting in above.
The Hour hand tip(s) are the other connection.
Monkeh posted a plot of the voltage vs time which is also a plot of voltage vs rotation.
Have you used a two cell flash light?
The light connects to the two ends of the batteries in series.
Split-phase is adding a connection between the two batteries.
Get out your pencil and paper and make some drawings.
C