Wrong. It means you get 1/4 the resistive loss (in the wires) for the same power. So you can pass 4 times the power over the same wires if you want.
Wrong. P = VI and resistive losses are RI^2. For double voltage at the same power then yeah, R(I/2)^2 = 1/4 * RI^2. For double the voltage but 4 times the power then 4P = 2V(x*I) so x=2 and we square that so it's 4 times as much resistive losses. You can double the power if you double the voltage and keep the same resistive losses. The parent comment was right.
>It means you get 1/4 the resistive loss (in the wires) for the same power.
This is correct, but it scales with the square of the current, so you can't just extrapolate it linearly like that.
Most Americans don't know this, but there already are exiting NEMA 240V outlets in use in the US. There's, of course, the commonly-known "dryer outlet" and "stove outlet" (which are each unique to that application), but there's also some standardized ones for lower currents than those. Sometimes you'll see them in (older) houses that have very large window-unit air conditioners, because 120V isn't sufficient to run an A/C over a certain BTU rating. IIRC, these outlets look similar to regular 120V outlets except one of the prongs is sideways.
You're absolutely right that most electronics these days can run dual-voltage; they do this because it's very easy to do with modern switching power supplies, and lets you engineer and sell one product worldwide instead of making different versions for different markets, and all you have to do is include a different power cord. However, changing the infrastructure is a totally different proposition. Lots of things don't work on 240V: think about toasters, refrigerators, lights, etc. I even have a German-made electric toothbrush which only runs on 120V (presumably, it uses a simple transformer in the charger base, which is inductively coupled to the toothbrush; the charger base is only rated for 120V, since transformers have to be tapped for the appropriate voltage).
Basically, it would be cool if the entire country switched over to 240V outlets everywhere, as it would give us superior toasters, vacuum cleaners, etc., but there'd be huge confusion for a long time, probably some fires, and the benefit generally isn't worth the cost.
Of course, suddenly switching everyone to 240V would also mean millions of vacuum cleaners and toasters going into the landfill, so that wouldn't exactly be environmentally-friendly either.
You would need at least a different plug and socket for this, but there are probably still a good number of appliances that are tied to the service voltage, so you would need to run separate circuits or point of use transformers for those. That's confusing and expensive.
No, that's single-phase. The "phase" is measured across the hot wires; the wire itself isn't the phase. There's no such thing as "two-phase".
Of course, then you'll have the problem where someone moves into a new house and then they can't use any of their stuff because it doesn't fit into the outlet. Then they'll go to Home Depot and buy an adapter, which just converts the physical outlets (and has a big warning about not using for devices not rated for 240V), and use that with their heater or toaster or vacuum cleaner, and start a fire that burns down an entire apartment complex.
This used to be the "standard" setup until somewhere in the 20th century when it changed to single phase. Now there is only one phase going to homes.
He later changed it for a single phase machine, partly for that reason. And then he moved, and he now has only one phase like everyone else.
That's not always a pure positive though: as kettles work fine I've never seen a thermo pot in europe.
But I think the a reason why high power appliances are more common in Europe is simply because the voltage is higher. Double the voltage means you can pass double the power over the same wires.