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A typical 120-volt household circuit delivers 350 watts of power to an appliance, and another 10 watts of power are consumed by the circuit. There is no ground fault. a. How much current is carried by the hot wire? b. How much current is carried by the neutral? c. How much current is carried by the grounding conductor? d. Calculate the resistance of the circuit:

by "consumed by the circuit" I assume you mean consumed by the wires. Assuming resistive loads only, the total load is 360 watts, thus the current is 3 amps. The current flows in the hot and the neutral.

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