Two capacitors of capacitance $2\ \mu F$ and $3\ \mu F$ are joined in series. The outer plate of the first capacitor is at $1000\ V$ and the outer plate of the second capacitor is earthed (grounded). The potential on the inner plates of each capacitor will be: (in $V$)

$A$ 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

All six capacitors shown are identical. Each can withstand a maximum of $200\, V$ between its terminals. The maximum voltage that can be safely applied between $A$ and $B$ is.....$V$

Three capacitors of capacitance $3\,\mu F$,$10\,\mu F$,and $15\,\mu F$ are connected in series to a voltage source of $100\,V$. The charge on $15\,\mu F$ is ....... $\mu C$.

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

In the figure,the area of each plate is $A$ and the distance between consecutive plates is as shown in the figure. What is the effective capacitance between points $A$ and $B$?