The answer depends on several factors: Most electrical codes in the United States are based on the NFPA Some areas may follow a different standard Ampacities of conductors are arranged in the NFPA in several charts depending on the installation criteria. In addition the charts have correction factors The several factors that need to be identified are: What is the conductor made out of: copper, aluminum or other? Is it in a raceway, on a messenger, in free air, or a cord?
If in a raceway, is there more than 3 current carrying conductors? Is it high-voltage (above 600) or low voltage? What type isulation is being used?
What is the allowed voltage drop? What is the ambient temperature? As you can see there is no easy answer However, on a typical installation using copper wire for under 600 volts, the size is in the range of 4/0.
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