We need to connect a capacitor of $16\ \mu F, 1000\ V$. However,we only have capacitors of $8\ \mu F, 250\ V$ available. How many such capacitors are required?

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

The equivalent capacitance between points $A$ and $B$ is

In the figure below, the capacitance of each capacitor is $3 \mu F$. The effective capacitance between $A$ and $B$ is:

Three long concentric conducting cylindrical shells have radii $R$,$2R$,and $2\sqrt{2}R$. The inner and outer shells are connected to each other. The capacitance across the middle and inner shells per unit length is:

The effective capacitance between points $X$ and $Y$ in the figure shown below is. (Assume all the capacitors are $4 \mu F$ each) (in $\mu F$)