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What is the minimum size of THWN conductors required for single phase 10 HP motor connected to 240 volts supply?

A 6 AWG THWN Copper

Refer: NEC Table 430.248
FLI current of single phase 10 HP motor at 230 volts = 50 amperes
Refer: NEC 430.22
Minimum conductor ampacity = 50 x 125% = 62.5 amperes
Refer: NEC Table 310.15(B)(16)
6 AWG THWN Copper with 65 amperes capacity at 75 degrees C is suitable conductor for the motor

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