Find the equivalent capacitance of the combination of capacitors between the points $A$ and $B$ as shown in the figure. Also, calculate the total charge that flows in the circuit when a $100 \mathrm{V}$ battery is connected between the points $A$ and $B$.

Three capacitors each of capacitance $9 \mathrm{pF}$ are connected in series. What is the total capacitance of the combination?

The following figure shows the initial charges on the capacitors. After the switch $S$ is closed, find the charge on the capacitor $C_1$.

The following figure shows the initial charges on the capacitors. After the switch $S$ is closed, find the work done by the battery.

Two identical capacitors each of capacity $C$ are charged up to the same potential $V$. Now their oppositely charged plates are connected together, then calculate the potential of each capacitor after connection.

Two identical capacitors each of capacity $C$ are charged up to the same potential $V$. Now their oppositely charged plates are connected together, then calculate the energy loss in the form of heat.

The work done in moving a charge $q \mathrm{C}$ on the surface of a given charged conductor of potential $V \mathrm{volts}$ is,

The distance between plates of a parallel plate capacitor is $5d$. The positively charged plate is at $x=0$ and the negatively charged plate is at $x=5d$. Two slabs-one of conductor and the other of a dielectric, both of the same thickness $d$ are inserted between the plates as shown in the figure. Potential $\left(V\right)$ versus distance $x$ graph will be