When we touch the terminals of a high voltage capacitor,even after the power supply has been disconnected,the capacitor has a tendency to:

The resultant capacitance between $A$ and $B$ in the figure is ...... $\mu F$.

The charge on the $4 \mu F$ capacitor in the given circuit is (in $\mu C$)

In the following diagram,the charge and potential difference across the $8\,\mu F$ capacitor will be nearly:

$A$ source of potential difference $V$ is connected to the combination of two identical capacitors as shown in the figure. When key $K$ is closed,the total energy stored across the combination is $E_{1}$. Now key $K$ is opened and a dielectric of dielectric constant $K_{d} = 5$ is introduced between the plates of both capacitors. The total energy stored across the combination is now $E_{2}$. The ratio $E_{1} / E_{2}$ will be:

$512$ identical drops of mercury are charged to a potential of $2 \ V$ each. The drops are joined to form a single drop. The potential of this drop is ......... $V.$