Question

In the circuit shown in the figure, the total charge is $750\mu \text{C}$ and the voltage across capacitor $C_2$ is $20\text{V}$. Then the charge on capacitor $C_2$ is-

• A. $450\mu \text{C}$
• B. $590\mu \text{C}$
• C. $160\mu \text{C}$
• D. $650\mu \text{C}$

Answer 1

The correct option is B $590\mu \text{C}$


Using conservation of charge,

$q_1=q_2+q_3$

$750\mu \text{C}=q_2+q_3[\because C_2\parallel C_3]$

Charge on capacitor $C_3$ is,

$q_3=C_3\times V_3=8\times 20=160\mu \text{C}$

$\therefore q_2=750\mu \text{C}-160\mu \text{C}=590\mu \text{C}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(B\right)$ is the correct answer.