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Question:

A 8 AWG conductor is suitable to use at maximum _______ KW supplied with a 120 volts power source?

A 6
explanation

Refer : NEC Table 310.15(B)(16)
maximum ampacity of 8 AWG is 50 amperes.
E = 120 volts
maximum power = 120 x 50 = 6000 watts or 6 KW

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