$A$ charged capacitor is disconnected from the battery and if the distance between the two plates of the capacitor is increased then . . . . . . .

$A$ spherical drop of potential $2.5 \ V$ is formed from $125$ identical small drops. Find the potential of the large drop in $V$.

In the given circuit,if the potential difference between $A$ and $B$ is $80 \ V$,then the equivalent capacitance between $A$ and $B$,and the charge on $10 \ \mu F$ capacitor respectively,are

$A$ capacitor of capacitance $C = 900 \, pF$ is charged fully by a $100 \, V$ battery as shown in figure $(a)$. Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance $C = 900 \, pF$ as shown in figure $(b)$. The electrostatic energy stored by the system in figure $(b)$ is $\dots \times 10^{-6} \, J$.

Three identical capacitors (each of capacitance $C$,initial charge zero) are connected in series and charged by a battery of emf $E$. After removing the battery,two resistors are connected to these capacitors as shown in the figure. The heat dissipated in each of the resistors is:

For the circuit shown in the figure,the charge on the $4 \mu F$ capacitor is $....... \mu C$.