Marine Electrical Systems USCG Question #573 (Set 20)

As shown in figure "A" of the illustration, what would be the circuit impedance if the capacitive reactance is 10 ohms and the resistance is 10 ohms? EL-0109

USCG Exam Illustration EL-0109
USCG Examination Diagram: Illustration EL-0109
Official USCG Answer & Rule Citation

Correct Answer: Option C — 14.14 ohms

AC circuit impedance with resistance and capacitive reactance is calculated using the Pythagorean theorem ($Z = \sqrt{R^2 + X_c^2}$). Substituting 10 ohms for both yields the square root of 200, which equals 14.14 ohms, satisfying IEEE 45 impedance calculation requirements.

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