Question

A part of the circuit is shown in the figure. All the capacitors have capacitance of $2\mu F$

• A. Charge on capacior $C_1$ is zero
• B. Charge on capacior $C_2$ is zero
• C. Charge on capacior $C_3$ is zero
• D. Charge on capacitor cannot be determined

Answer 1

The correct option is C Charge on capacior $C_3$ is zero

Let charges on different capacitors be $q_1,q_2$ and $q_3$ (in $\mu C$) as shown in figure.


$8-\frac{q_1}{2}-2-\frac{q_3}{2}=3$
or $q_1+q_3=6$
$8-\frac{q_1}{2}+\frac{q_2}{2}=2$
or $q_1-q_2=12$
Further, $q_1+q_2=q_3$
Solving these three equations, we get,
$q_1=6\mu F,q_2=-6\mu F$ and $q_3=0$