Capacitors of values $1.0 \mathrm{~F}, 2.0 \mathrm{~F}, 3.0 \mathrm{~F}$, and $6.0 \mathrm{~F}$ are connected in series across a $12 \mathrm{~V}$ power supply. Which capacitor has the greatest potential difference across it?
A) the $6.0 \mathrm{~F}$ capacitor
B) the $2.0 \mathrm{~F}$ capacitor
C) the $1.0 \mathrm{~F}$ capacitor
D) the $3.0 \mathrm{~F}$ capacitor
E) they all are equal

Question

Quizplus · Accepted Answer

In a series circuit, the charge on each capacitor is the same. The potential difference (voltage) across a capacitor in a series circuit is given by $V = \frac{Q}{C}$, where $Q$ is the charge and $C$ is the capacitance. Since the charge is the same for all capacitors, the capacitor with the smallest capacitance will have the greatest potential difference across it. Therefore, the $1.0 \mathrm{~F}$ capacitor will have the greatest potential difference across it.

Capacitors of Values 1.0 F,2.0 F,3.0 F1.0 \mathrm{~F}, 2.0 \mathrm{~F}, 3.0 \mathrm{~F}1.0 F,2.0 F,3.0 F , And 6.0 F6.0 \mathrm{~F}6.0 F

Capacitors of Values $1.0 \mathrm{~F}, 2.0 \mathrm{~F}, 3.0 \mathrm{~F}$ , And $6.0 \mathrm{~F}$