An infinite number of capacitors with capacitances $C, 4C, 16C, ... \infty$ are connected in series. What is the equivalent capacitance of the combination in terms of $C$?

The figure shows the charge $(q)$ versus voltage $(V)$ graph for series and parallel combinations of two given capacitors. The capacitances are:

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

Obtain the equivalent capacitance of the network in the figure. For a $300 \; V$ supply,determine the charge and voltage across each capacitor.

$A$ 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

$A$ parallel combination of two capacitors of capacities $2C$ and $C$ is connected across a $5 \text{ V}$ battery. When they are fully charged,the charges and energies stored in them are $Q_1, Q_2$ and $E_1, E_2$ respectively. Then $\frac{E_1-E_2}{Q_1-Q_2}$ in $\text{J/C}$ is (capacity is in Farad,charge in Coulomb and energy in $\text{J}$)