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8800w/240v = 36.6 Amps Since at some point (Thanksgiving, etc) you may use this range for more than 3 hours straight, your wire size must be calculated at 125 percent of that number: 36.6A * 1.25 = 45.75 (rounded to 46) Amps Using the NEC table 310.16, 75 degree column, the smallest copper wire that can carry 46 amps is #8 AWG. If you use aluminum the smallest is #6 AWG.

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