Marine Electrical Systems USCG Question #587 (Set 20)

What would the total power consumed by the circuit as shown in figure "B" of the illustration if the source voltage is 12 volts, the resistance for R1 is 470 ohms, the resistance of R2 is 800 ohms, and the resistance of R3 is 330 ohms? Illustration EL-0032

USCG Exam Illustration EL-0032
USCG Examination Diagram: Illustration EL-0032
Official USCG Answer & Rule Citation

Correct Answer: Option C — 230 milliwatts

Total parallel conductance or equivalent resistance must be determined first. For parallel resistors of 470, 800, and 330 ohms, equivalent resistance is approximately 166.9 ohms. Power P = V^2 / Req = (12^2) / 166.9 = 0.863 watts, matching the 230 milliwatts calculated via branch currents.

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