There are two conducting spheres of radius $a$ and $b$ $(b>a)$ carrying equal and opposite charges. They are placed at a separation $d(>>>a\mathit{ }\mathit{\&} b).$ The capacitance of the system is

In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance $C$. The switch $S_1$ is pressed first to fully charge the capacitor $C_1$ and then released. The switch $S_2$ is then pressed to charge the capacitor $C_2$. After some time, $S_2$ is released and then $S_3$ is pressed. After some time,

In the given circuit diagram, $E=12 \mathrm{V}, C_1=4 \mathrm{\mu F}, C_2=2 \mathrm{\mu F}$, $C_3=6 \mathrm{\mu F}$ and $C_4=3 \mathrm{\mu F}$. Find the heat produced in the circuit (in $\mathrm{\mu J}$) after switch $S$ is shorted.

In the figure shown below, the initial status of capacitors and their connection is shown. Which of the following is incorrect about this circuit?

Three capacitors of capacitance $C, C \& 3C$ are connected to a $14 \mathrm{V}$ battery and grounded, as shown in figure. Find potential (in volt) of point $A$.

Four plates of the same area of cross-section are joined as shown in the figure. The distance between each plate is $d$. The equivalent capacity across $A$ and $B$ will be:

Find the equivalent capacitance between points $A$ and $B$, in the figure shown below. Each plate has area $A$ and distance between the plates is $d$.