Two capacitors $C_1 = 2 \ \mu F$ and $C_2 = 3 \ \mu F$ are connected in series between points $A$ and $C$. The potential at point $A$ is $40 \ V$ and the potential at point $C$ is $10 \ V$. Find the potential at point $B$ (between the two capacitors). (in $V$)

Two capacitors $C_1 = 2 \,\mu F$ and $C_2 = 6 \,\mu F$ are connected in series. This combination is then connected in parallel with a third capacitor $C_3 = 4 \,\mu F$. This entire arrangement is connected to a battery of $2 \,V$. What is the energy supplied by the battery to charge the capacitors?

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

In the given circuit,a charge of $+80 \mu C$ is given to the upper plate of a $4 \mu F$ capacitor. At steady state,the charge on the upper plate of the $3 \mu F$ capacitor is (in $\mu C$)

Four identical metal plates are arranged in air at equal distances from each other as shown in the figure. Each plate has an area $A$. Find the equivalent capacitance of the system between points $A$ and $B$.

Five capacitors each of capacity $C$ are connected as shown in the figure. If their resultant capacity is $2 \mu F$,then the capacity of each capacitor is: (in $\mu F$)