Parallel and Series Capacitors — MCQ Practice

Three capacitors of capacitances $2\,\mu\text{F}$, $3\,\mu\text{F}$, and $6\,\mu\text{F}$ are connected in series. The equivalent capacitance of the combination is:

Two capacitors of $4\,\mu\text{F}$ and $6\,\mu\text{F}$ are connected in parallel across a $12\,\text{V}$ battery. What is the total charge stored in the combination?

Two capacitors, $C_1 = 10\,\mu\text{F}$ and $C_2 = 20\,\mu\text{F}$, are connected in series across a $30\,\text{V}$ supply. What is the potential difference across $C_1$?

A network consists of two capacitors $C_1 = 4\,\mu\text{F}$ and $C_2 = 6\,\mu\text{F}$ in series, connected in parallel with a third capacitor $C_3 = 5\,\mu\text{F}$. What is the equivalent capacitance of the entire network?

Two capacitors of capacitance $C$ each are connected in series. A third capacitor of capacitance $C$ is connected in parallel to this combination. The equivalent capacitance of the entire arrangement is:

A $10\,\mu\text{F}$ capacitor is charged to $100\,\text{V}$. It is then connected in parallel to an uncharged $20\,\mu\text{F}$ capacitor. What is the final common potential difference across the combination?