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This is a voltage drop question. A #1 copper conductor will limit the voltage drop to 3% or less when supplying 100 amps for 200 feet on a 240 volt system. Or

a 3/0 copper conductor will limit the voltage drop to 3% or less when supplying 100 amps for 200 feet on a 120 volt system. In your question you sis not stipulate what the working voltage is.

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