Three capacitors $C_1,C_2,$ and $C_3$ are arranged as shown in figure. Determine the charge on each capacitor.

Four capacitors $C_1=8 \mathrm{\mu F},C_2= 2 \mathrm{\mu F},C_3=6 \mathrm{\mu F}$, and ${\mathrm{C}}_4=6 \mathrm{\mu F}$ are arranged as shown in figure. Find the charge on all the capacitors in the circuit.

Three capacitors of capacitances $1 \mathrm{\mu F}, 2 \mathrm{\mu F}$ and $2 \mathrm{\mu F}$ are charged up to the potential difference $30 \mathrm{V}, 10 \mathrm{V}$ and $15 \mathrm{V}$, respectively. If terminal $A$ is connected with $D$, $C$ is connected with $E$, and $F$ is connected with $B$, then find the charge flow in the circuit and the final charges on the capacitors.

Three initially uncharged capacitors are arranged with batteries as shown in the figure. Find the charge on each capacitor.

Two capacitors $C_1$, and $C_2$ are connected with two batteries of emf ${\epsilon }_1$and ${\epsilon }_2$. The circuit components are connected with a switch $S$ as shown in figure. Initially the switch is open and the capacitors are charged. Find the heat produced when switch $S$ is closed.

The figure shows a capacitive circuit with a switch $S_{\mathrm{W}}$.

(a) What is the potential difference between $a$ and $b$ when the switch is open?

(b) What charge flows through the switch when it is closed?

In figure, plate $A$ has $100 \mu \mathrm{C}$ charge, while plate $B$ has $60 \mu \mathrm{C}$ charge.

When both switches are open, then

$q_1=$______

$q_2=$______

$q_3=$ ______

$q_4=$______

In the arrangement shown in the figure, plate $B$ is given a charge equal to $60 \mu \mathrm{C}.$ The ratio $\frac{d_1}{d_2}$ is $2$. Then

$q_1=$_______

$q_2=$_______

$q_3=$_______

$q_4=$_______

$q_5=$_______

$q_6=$_______