Five capacitors each of capacity $C$ are connected as shown in the figure. If their resultant capacity is $2 \mu F$,then the capacity of each capacitor is: (in $\mu F$)

Obtain the formula for the effective capacitance of the series combination of $n$ capacitors.

Two capacitors $C_1 = 2 \,\mu F$ and $C_2 = 6 \,\mu F$ are connected in series. This combination is then connected in parallel with a third capacitor $C_3 = 4 \,\mu F$. This entire arrangement is connected to a battery of $2 \,V$. What is the energy supplied by the battery to charge the capacitors?

Find the equivalent capacitance of the circuit between points $A$ and $B$.

Four capacitors are connected as shown in the adjoining figure. The capacitance of each is $8\,\mu F$. The equivalent capacitance between the points $A$ and $B$ will be......$\mu F$.

$25$ capacitors,each of capacitance $2 \mu F$,are connected in series to a battery of $100 \ V$. The total charge stored on the capacitors is