Two capacitors $C_1 = 3 \mu F$ and $C_2 = 2 \mu F$ are connected in series across a d.c. source of $100 \ V$. The ratio of the potential across $C_2$ to $C_1$ is

Three capacitors of values $6\, \mu F, 3\, \mu F$ and $9\, \mu F$ are connected as shown in the figure. This combination is connected to a $10\, V$ battery. What is the potential difference across the plates of the $9\, \mu F$ capacitor in $V$?

What is a series connection of capacitors? Obtain the formula for the effective capacitance in the series combination of two different capacitors.

Four capacitors,each of capacitance $16 \mu F$,are connected as shown in the figure. The equivalent capacitance between points $A$ and $B$ is: . . . . . . (in $\mu F$).

Three equal capacitors,each with capacitance $C$,are connected as shown in the figure. The equivalent capacitance between $A$ and $B$ is:

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,$Q_1/Q_2$?