Marine Electrical Systems USCG Question #581 (Set 20)

What would be the capacitive reactance of the circuit shown in figure "A" of the illustration if the capacitance of C1 was 100 microfarads, the capacitance of C2 was 200 microfarads and the frequency of the source was 60 cycles per second (Hz)? EL-0038

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

Correct Answer: Option A — 8.8 ohms

Total parallel capacitance equals 300 microfarads (0.0003 F). Using capacitive reactance formula Xc = 1 / (2 * pi * f * C) at 60 Hz yields 1 / (2 * 3.1416 * 60 * 0.0003) = 8.84 ohms, rounding to 8.8 ohms.

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