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The question is one of voltage loss. The goal is to have enough ampacity in the selected conductors to run the maximum load with only 3 percent voltage drop, caused by the resistance inherent in the wires.

Plug your numbers into a voltage drop calculator online and see what pops out.

At 120 volts you would get 3.1 percent drop using 3/0 wire.

At 240 volts you could drop down three sizes to #1 AWG for 3.1 percent at max load, or 1/0 size for 2.5 percent drop at max load.

Assuming copper wire at normal conditions of temperature.

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Q: What size wire needed with a 100 amp load 250 feet away?
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