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 of capacities $2 \mu F$ and $4 \mu F$ are connected in parallel. $A$ third capacitor of $6 \mu F$ capacity is connected in series with this combination. $A$ battery of $12 \text{ V}$ is connected across this combination. The charge on the $2 \mu F$ capacitor is: (in $\mu C$)

Two capacitors of $1\,\mu F$ and $2\,\mu F$ are connected in series. The resultant capacitance will be ..... $\mu F$.

The capacitors of capacity $C_1$ and $C_2$ are connected in parallel,then the equivalent capacitance is:

The equivalent capacitance between the points $A$ and $B$ of the network shown in the figure is (in $\text{ F}$)

$A$ system of $2$ capacitors of capacitance $2 \mu F$ and $4 \mu F$ is connected in series across a potential difference of $6 \text{ V}$. The electric charge and energy stored in the system are