Two capacitors of capacitances $1 \ \mu F$ and $2 \ \mu F$ can separately withstand potentials of $6 \ kV$ and $4 \ kV$ respectively. The total potential they together can withstand when they are connected in series is (in $kV$)

Two capacitors $C_1 = 2 \ \mu F$ and $C_2 = 3 \ \mu F$ are connected in series between points $A$ and $C$. The potential at point $A$ is $40 \ V$ and the potential at point $C$ is $10 \ V$. Find the potential at point $B$ (between the two capacitors). (in $V$)

In the circuit shown in the figure,each capacitor has a capacity of $3\,\mu F$. The equivalent capacity between $A$ and $B$ is.......$\mu F$.

$A$ series combination of three capacitors of capacities $1\,\mu F$,$2\,\mu F$,and $8\,\mu F$ is connected to a battery of $e.m.f.$ $13\,V$. The potential difference across the plates of the $2\,\mu F$ capacitor will be.....$V$

Two capacitors $C_1 = 2 \,\mu F$ and $C_2 = 6 \,\mu F$ are connected in series. This combination is then connected in parallel with a third capacitor $C_3 = 4 \,\mu F$. This entire arrangement is connected to a battery of $2 \,V$. What is the energy supplied by the battery to charge the capacitors?

Four metallic plates,each of surface area (of one side) $A$,are placed at a distance $d$ apart from each other. The two outer plates are connected to a point $P$ and the two inner plates are connected to another point $Q$ as shown in the figure below. Then,the capacitance of the system is