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 capacitors connected in parallel having the capacities $C_1$ and $C_2$ are given $q$ charge,which is distributed among them. The ratio of the charge on $C_1$ and $C_2$ will be

$A$ capacitance of $2\ \mu F$ is required in an electrical circuit across a potential difference of $1.0\ kV$. $A$ large number of $1\ \mu F$ capacitors are available which can withstand a potential difference of not more than $300\ V$. The minimum number of capacitors required to achieve this is

Which of the following combinations of $7$ identical capacitors each of $2 \mu F$ gives a resultant capacitance of $\frac{10}{11} \mu F$?

Capacitors of capacities $C_1, C_2$ and $C_3$ are connected in series. If the combination is connected to a supply of $V$ volt,then the potential difference across capacitor $C_1$ is

If there are $n$ capacitors,each of capacitance $C$,connected in parallel to a $V$ volt source,then the energy stored is equal to