Ahhh, well the one thing Mr. Oms did not account for in his model is resistance, and it is pure theroy with out interference, on which you assumption is incorrect.. Resistance is as it implys resists. The greater the resistance the more heat produced. Heat is a pitfall. While a physical wire does appear static it is not. Expansion and contraction happen ever so slowly. Some more so than others depending on the quality and gauge of wire. While it seems this is babble this point is heat. Quality and gauge of wire define how many electrons you can push through, just like a garden hose vs a fire hose. Your typical motor has somewhere between 1500 and 2000 complete wrap single wires for each qudrant of a motor. Break one apart and take a look. Now lets bring back in a trig function and look at the actual wave form that electrict travels on A/C or the hertz on which it cycles would be better. Single phase produces a single wave per cycle while three phase has three waves per cycle. Each appliance states the power requirements to function but what does it really run on? DC. So if the transmission of power in A/C because it is more efficent of long distance, the step down for appliance use has to happen in the device it self, it transforms the incomming power into something it can use. A single phase device puts less stress on the internal working than three phase, wave action.
Ok so now we have resistance, wave form transmission and transformation of power into something useful. Back to heat, a motor runs on 120 and the same motor runs on 220 resistance to the flow of electrons is reduced on the 220 motor because there is a larger pipe for the electrons to flow, less resistance less heat more efficent conversion of A/C. Less resistance less ware and tear on a device and a longer life.
With me so far? Why not take it a bit further, the true nature of magnetism and electricity. Is there a link, you tell me.