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8 AWG.

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Electrical code wire sizing for motors has to be at 125% of the rated motor current. So the wire has to have the ability to handle 45 + 11.25 = 56.25 amps.

A #6 copper conductor with an insulation rating of 75 or 90 degrees C is rated at 65 amps.

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Q: What size wire would be required for the power supply of a compressor at 45 amps?
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