Two capacitors of $10\,\mu F$ and $20\,\mu F$ are connected in series with a $30\,V$ battery. The charge on the capacitors will be,respectively:

Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be

Three capacitors are connected to a $D.C.$ source of $100 \; V$ as shown in the figure. If the charges accumulated on plates $a, b, c, d, e,$ and $f$ are ${q_a}, {q_b}, {q_c}, {q_d}, {q_e},$ and ${q_f}$ respectively,then:

The figure shows a network of five capacitors connected to a supply voltage '$V$'. The equivalent capacitance and the energy stored in the network are respectively:

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 of capacity $4 \mu F$ and $6 \mu F$ are connected in series to a $500 \ V$ battery. The potential difference across the $4 \mu F$ capacitor is: (in $V$)