Marine Electrical Systems USCG Question #178 (Set 6)

What is the voltage across 'R1' of figure "B" of the illustrated circuit with the switch closed if the applied voltage is 24 volts and resistance of R1 is 3 ohms, R2 is 4 ohms, and R3 is 5 ohms, respectively? Illustration EL-0020

USCG Exam Illustration EL-0020
USCG Examination Diagram: Illustration EL-0020
Official USCG Answer & Rule Citation

Correct Answer: Option B — 6 volts

Applying the voltage divider rule in a series circuit with resistors of 3, 4, and 5 ohms (total 12 ohms) connected to a 24-volt source, the voltage across the 3-ohm resistor R1 is calculated as $24 \times (3/12)$, equaling 6 volts.

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