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First visualize a sine wave. It undulates between positive and negative voltage in a form that looks like the wave that ripples out when you drop something onto still water. If you took a picture across a slice through multiple ripples you would see a positive hump and then its negative image. So the wave is gradually rising to a peak and then falling to a valley. If you superimposed two such waves upon each other and they matched perfectly where they crossed zero and where they peaked positively then the waveforms would have the same frequency and would be in phase.

If you took these in phase waveforms and then slid one over the other so that the positive and negative peaks occurred at the same time the waveforms would be 180 degrees out of phase. In a three phase system the peaks of three waveforms are each one third cycle from the other or 120 degrees out of phase with each other.

In a three phase system each waveform is on separate wires so that you can either run a device such as a motor that runs on 3-phase power or you can add different phases together to get different voltage outputs or use each voltage separately as single phase services.

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