Equivalent Capacitance — Prelims Questions

Three capacitors, $C_1 = 2,\text{\mu F}$, $C_2 = 3,\text{\mu F}$, and $C_3 = 6,\text{\mu F}$, are connected in series. What is their equivalent capacitance?

Two capacitors, $C_A = 4,\text{pF}$ and $C_B = 8,\text{pF}$, are connected in parallel. If a potential difference of $12,\text{V}$ is applied across the combination, what is the total charge stored?

A network consists of two capacitors, $C_1 = 10,\text{\mu F}$ and $C_2 = 10,\text{\mu F}$, connected in series. This series combination is then connected in parallel with a third capacitor $C_3 = 20,\text{\mu F}$. What is the equivalent capacitance of the entire network?

Which of the following statements is TRUE regarding capacitors connected in series?

Four capacitors, each of capacitance $C$, are arranged to form a square. If the equivalent capacitance across any two adjacent corners is $3C/4$, what is the equivalent capacitance across the diagonal corners?

A parallel plate capacitor has capacitance $C$. If it is cut into two identical halves along its length and the two halves are connected in parallel, what is the new equivalent capacitance?