The total capacity of the system of capacitors shown in the adjoining figure between the points $A$ and $B$ is.....$\mu F$

Three capacitors of $2\ \mu F, 3\ \mu F$,and $6\ \mu F$ are connected in series with a $24\ V$ battery. The potential difference across the $6\ \mu F$ capacitor is .......... $V$.

Three condensers of capacities $C_1$,$C_2$,and $C_3$ are connected in series with a source of e.m.f. $V$. The potentials across the three condensers are in the ratio:

If the initial charge on all the capacitors was zero,the work done by the battery in the circuit shown is ........... $mJ$.

Five capacitors,each of value $1 \mu F$,are connected as shown in the figure. The equivalent capacitance between $A$ and $B$ is (in $\mu F$)

Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area $\frac{A}{3}$ and the separation between the plates is $d, 2d$ and $3d$ respectively. The equivalent capacity of the combination is ($\varepsilon_0 =$ absolute permittivity of free space).