Three capacitors $C_1$,$C_2$,and $C_3$ are connected in parallel,and their equivalent capacitance is $12$ units. Given $C_1 \cdot C_2 \cdot C_3 = 48$ units. When $C_1$ and $C_2$ are connected in parallel,their equivalent capacitance is $6$ units. Find the individual capacitances $C_1, C_2, C_3$.

In the figure shown, the potential difference between points $A$ and $B$ is......$V$.

What is the equivalent capacitance between points $A$ and $B$?

Seven capacitors,each of capacitance $2 \mu F$,are to be connected to obtain an equivalent capacitance of $\left(\frac{10}{11}\right) \mu F$. Which of the following combinations is possible?

$A$ 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 $\text{J}$)

The potential difference across the $4 \mu F$ capacitor in series with the parallel combination in the following circuit is: (in $V$)