Capacitors of capacities $C_1$ and $C_2$ are connected in series. If the combination is connected to a supply of $V$ volt, then the potential difference across capacitor $C_2$ is:

Two capacitors of capacitance $4\,\mu F$ and $6\,\mu F$ are connected in series. $A$ potential difference of $500\,V$ is applied to the outer plates of the two-capacitor system. The potential difference across the plates of the $4\,\mu F$ capacitor is ......... $V$.

Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be

The equivalent capacitance between $A$ and $B$ in the figure is $1\,\mu F$. Then the value of capacitance $C$ is.....$\mu F$

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 $C_1, C_2, C_3$.

Four metallic plates, each with a surface area of one side $A$, are placed at a distance $d$ from each other. The plates are connected as shown in the figure. The capacitance of the system between $a$ and $b$ is