In the given circuit, all the capacitors are initially uncharged. After closing the switch $S_1$ for a long time suddenly $S_2$ is also closed and kept closed for a long time. Total heat produced after closing $S_2$ will be :

Assertion: The capacitance of a capacitor depends on the shape, size and geometrical placing of the conductors and its medium between them.

Reason: When a charge $q$ passes through a battery of emf $E$ from the negative terminal to an positive terminal, an amount $qE$ of work is done by the battery.

Two plates $A$ and $B$ are kept at a distance of $2 \mathrm{mm}$, as shown in figure. The plate $A$ is at potential of  $10,000$ volt and the plate $B$ is earthed. The intensity of electric field between the plates is given by $N\times {10}^6 {\mathrm{Vm}}^{-1}$ Find $N$.

Write the potential of point $O$ in terms of $C_1,C_2,C_3,V_A,V_B$ & $V_C$ in the following circuit. Where $V_A=10,V_B=20,V_C=30,C_1=C_2=C_3$

The equivalent capacitance of the infinite ladder shown in figure between the points $A$ & $B$ is $C$. Find $C$ in $\mathrm{\mu F}$.

In given circuit in the charge on capacitor is $N\times {10}^{-6}C$. Write value of $N$.