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What is the maximum continuous load that can be connected on a 240 volts 30 amperes circuit using two 10 AWG conductors?

A 24 amperes

Refer : NEC 210.20(A)
Circuit conductors should be rated at 125% connected load which is continuous.
Refer NEC Table 310.15(B)(16)
8 AWG conductors maximum ampacity is 30 amperes
The maximum continuous connected load = 30 / 125% = 24 amperes

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