In an antique automobile, a 6-V battery supplies a total of 48 W to two identical headlights in parallel.The resistance of each bulb is:
A)0.75 Ω
B)1.5 Ω
C)3 Ω
D)4 Ω
E)8 Ω

Question

Quizplus · Accepted Answer

The total power supplied by the battery is 48 W, and since the headlights are in parallel, each headlight receives half of this power, which is 24 W. The voltage across each headlight is the same as the battery voltage, which is 6 V. Using the power formula $P = \frac{V^2}{R}$, where $P$ is power, $V$ is voltage, and $R$ is resistance, we can solve for $R$: $R = \frac{V^2}{P} = \frac{6^2}{24} = \frac{36}{24} = 1.5 \Omega$.

In an Antique Automobile, a 6-V Battery Supplies a Total