In the circuit, shown in the figure, the effective capacitance between $A$ and $B$ is……$\mu F$

A capacitor $C = 100$ $ \mu F$ is connected to three resistors each of resistance $1$ $kW$ and a battery of emf $9$ $V$. The switch $S $ has been closed for long time so as to charge the capacitor. When switch $S $ is opened, the capacitor discharges with time constant…..$ms$ 

A $2\,\mu F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $S$ is turned to position $2$, is…..$\%$

A finite ladder is constructed by connecting several sections of $2\,\mu F$ , $4\,\mu F$ capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance $C$. What value should be chosen for $C$ such that the equivalent capacitance of the ladder between the points $A$ and $B$ becomes independent of the number of sections in between…….$\mu F$

A dipole having dipole moment $p$ is placed in front of a solid uncharged conducting  sphere are shown in the diagram. The net potential at point $A$ lying on the surface of the sphere is :-