Use a wire table to find the cross-section area of #33 wire, multiply by 7, then find the AWG for that cross-section.
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From what i can tell with the National Electrical Code the smallest wire listed is 18 AWG that is listed at 7 amps and 5.6 for continuous loads which is running for more then 3 hours at a time so i would rate a 20 AWG at about 5 amps MAX and 2.5 for continuous but good luck with that
depends on the wire gauge and strand type sold strand 12 AWG wire is 50.57 feet per pound. most extension cords however are not solid strand, they are multistrand line which allows for flexibility and breakage. standard size is 28 AWG, 2067 feet per pound. 7 strand 12-3 line gives you 1050 feet of 28 AWG or ~$2 worth of copper if its clean and bare, less if it still in its insulator or if the insulator is burned off.
120 15 amp service ? 210 7 amp service ?
Wire maker Pro Power rates their 7/0.1 at just 250mA when in a cable of 9, with screen around.
It's going to take a whopper of a wire to run a 20 amps 650 feet. I'd feel more comfortable if a journeyman electrician would come by to access my answer. But, my calculations show it would take 4 AWG wire to do it. If you want you could run two 7 AWG wires in parallel.