Capacitors of $C, 2C, 4C, \dots, \infty$ are connected in parallel. What will be their equivalent capacitance?

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 $\mu C$)

Five capacitors are connected to a $DC$ potential of $100\,V$ as shown in the figure. Find the charge in the $10\,\mu F$ capacitor (in $\mu C$).

Find the equivalent capacitance between point $A$ and $B$. (in $C$)

$A$ capacitor of capacitance $1 \mu F$ withstands a maximum voltage of $6 kV$,while a capacitor of capacitance $2.0 \mu F$ withstands a maximum voltage of $4 kV$. If the two capacitors are connected in series,then the two capacitors combined can take up a maximum voltage of ... $kV$.

An electrical technician requires a capacitance of $2 \; \mu F$ in a circuit across a potential difference of $1 \; kV$. $A$ large number of $1 \; \mu F$ capacitors are available,each of which can withstand a potential difference of not more than $400 \; V$. Suggest a possible arrangement that requires the minimum number of capacitors.