Three capacitors each of capacitance $C$ and of breakdown voltage $V$ are joined in series. The capacitance and breakdown voltage of the combination will be

Four identical capacitors are connected in series with a battery of $emf$ $10 \ V$. Point $X$ is grounded. Find the potential at point $A$ in $V$.

Four identical rectangular plates with length,$l = 2 \, cm$ and breadth,$b = \frac{3}{2} \, cm$ are arranged as shown in the figure. The equivalent capacitance between $A$ and $C$ is $\frac{x \varepsilon_{0}}{d}$. The value of $x$ is (Round off to the Nearest Integer).

Two capacitors of capacitance $4\,\mu F$ and $6\,\mu F$ are connected in series. $A$ potential difference of $500\,V$ is applied to the outer plates of the two-capacitor system. The potential difference across the plates of the $4\,\mu F$ capacitor is ......... $V$.

Four identical capacitors are connected in series with a battery of $emf$ $10 \, V$. The point $X$ is earthed. Find the potential of point $A$. (in $, V$)

In the figure shown,the effective capacitance between the points $A$ and $B$,if each capacitor has capacitance $C$,is