Marine Electrical Systems USCG Question #1112 (Set 38)

What would be the total current in figure "A" of the circuit illustrated if the value of capacitor C1 was 100 microfarads, capacitor C2 was 200 microfarads and the power supply was 240 volts at 60 Hz? EL-0038

USCG Exam Illustration EL-0038
USCG Examination Diagram: Illustration EL-0038
Official USCG Answer & Rule Citation

Correct Answer: Option A — 27 amps

Capacitors in parallel are additive, yielding a total capacitance of 300 microfarads. Calculating capacitive reactance ($X_C = 1 / (2 \pi f C)$) at 60 Hz results in approximately 8.84 ohms. Applying Ohm's law ($I = V / X_C$) with a 240-volt supply produces a total current of approximately 27 amps.

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