Two capacitors are charged by a battery of $E$ volts as shown in the figure. What will be the ratio of the charges on these capacitors,$Q_1/Q_2$?

The equivalent capacitance of three capacitors of capacitance $C_1, C_2$ and $C_3$ connected in parallel is $12$ units and their product is $C_1 \cdot C_2 \cdot C_3 = 48$. When the capacitors $C_1$ and $C_2$ are connected in parallel,the equivalent capacitance is $6$ units. Then the capacitances are:

$A$ $100 \, V$ battery is connected across the series combination of two capacitors of $4 \, \mu F$ and $8 \, \mu F$. The energy stored in the series combination is

In the circuit shown in the figure,each capacitor has a capacity of $3\,\mu F$. The equivalent capacity between $A$ and $B$ is.......$\mu F$.

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 $B$.

Eight capacitors, each of capacitance $C$, are connected as shown in the figure. The effective capacitance between $A$ and $B$ is