An infinite number of identical capacitors,each with a capacitance of $1 \ \mu F$,are connected as shown in the figure. Find the equivalent capacitance between $A$ and $B$ in $\mu F$.

Two parallel plate air capacitors are connected in parallel. Each capacitor has plate area $A/2$ and separation between the plates is $d$ and $2d$ respectively. The equivalent capacity of the combination is $(\epsilon_0 = \text{absolute permittivity of free space})$

Three capacitors,each of capacitance $C$ and breakdown voltage $V$,are connected in series. Find the equivalent capacitance and the equivalent breakdown voltage.

If three capacitors each of capacity $1\,\mu F$ are connected in such a way that the resultant capacity is $1.5\,\mu F$,then

What is the effective capacitance between points $X$ and $Y$ in $\mu F$?

Three condensers of capacities $C_{1}, C_{2}, C_{3}$ are connected in series with a source of e.m.f. $V$. The potentials across the three condensers are in the ratio of