Very interesting you tried to change it to an engineering...

Very interesting you tried to change it to an engineering discussion and show that my opinion on HV AC was wrong. Your post Post #: 71034473. I clealy stated that the only problems with DC is the broken line requirements for higher voltages be they AC or DC. Yet you tried to turn it into a discussion of which is better. Before you go further Google High power long distance transmission, and read a little. I will admit for many years AC was preferred. simple reason it was hard to change dc voltage where AC just took a transformer. About 50 years ago FETs where being designed for higher currents and voltages. Also buck regulators were becoming popular and combined with these FETs conversions could be made at high efficiencies> 98% Transformers are about 95%. The hold world recognizes that to day with advanced SS electronics DC is the way to transmit high power long distances. Buck methods are only highly efficient when the output voltage is lower than input. They can step up but are much less efficient.

Next in your Post #: 71101622 you say Ill do the math in calculus for you Vector math is Trig why would you use Calculus. Calculus is rate of change over time it just does not apply.

You also talked about a 3 phase capacitor. No such thing exist. You can buy 3 discrete capacitors in a single box and each capacitor is across a single phase. These means from the box to line their are only 3 wires but inside the box each incoming wire is split in two and each of the three capacitors go across the individual phases. I have also heard people refer to 3 phase transformers. But again there are 3 discreet transformers in a box magnetically shielded from each other. One transformer to step up or down each phase.