When three capacitors of equal capacities are connected in parallel and one of the same capacity is connected in series with the combination,the resultant capacity is $4.5 \mu F$. The capacity of each capacitor is: (in $\mu F$)

$A$ capacitance of $2\ \mu F$ is required in an electrical circuit across a potential difference of $1.0\ kV$. $A$ large number of $1\ \mu F$ capacitors are available which can withstand a potential difference of not more than $300\ V$. The minimum number of capacitors required to achieve this is

Find the equivalent capacitance of the system of capacitors between points $A$ and $B$ as shown in the figure.

Which of the following combinations of $7$ identical capacitors each of $2 \mu F$ gives a capacitance of $\frac{10}{11} \mu F$?

In the circuit shown,the potential difference across the $4.5 \mu F$ capacitor is

Four identical rectangular plates with length,$l = 2 \, cm$ and breadth,$b = \frac{3}{2} \, cm$ are arranged as shown in the figure. The equivalent capacitance between $A$ and $C$ is $\frac{x \varepsilon_{0}}{d}$. The value of $x$ is (Round off to the Nearest Integer).