A 200-Ω resistor is rated at 1/4 W. What is the maximum current it can safely draw?
A) $0.035 \mathrm {~A}$
B) $0.25 \mathrm {~A}$
C) $0.35 \mathrm {~A}$
D) $50 \mathrm {~A}$

Question

A 200-Ω resistor is rated at 1/4 W. What is the maximum current it can safely draw? 
A) $0.035 \mathrm {~A}$
B) $0.25 \mathrm {~A}$
C) $0.35 \mathrm {~A}$
D) $50 \mathrm {~A}$

Quizplus · Accepted Answer

The maximum power rating of the resistor is 1/4 W or 0.25 W. Using the formula $P = I^2R$, where $P$ is power, $I$ is current, and $R$ is resistance, we can solve for $I$. Rearranging the formula gives $I = \sqrt{\frac{P}{R}} = \sqrt{\frac{0.25}{200}} = 0.035 \mathrm{~A}$.

A 200-Ω Resistor Is Rated at 1/4 W 0.035 A0.035 \mathrm {~A}0.035 A

A 200-Ω Resistor Is Rated at 1/4 W $0.035 \mathrm {~A}$