Question

In the circuit shown, charge on the $5\mu \text{F}$ capacitor is

• A. $18.00\mu \text{C}$
• B. $10.90\mu \text{C}$
• C. $16.36\mu \text{C}$
• D. $5.45\mu \text{C}$

Answer 1

The correct option is C $16.36\mu \text{C}$


Let $q_1$ and $q_2$ be the charge on the capacitors of $2\mu F$ and $4\mu F$. Then charge on capacitor of $5\mu F$

$Q=q_1+q_2$

$\Rightarrow 5V_0=2(6-V_0)+4(6-V_0)$
$\Rightarrow 5V_0=12-2V_0+24-4V_0$
$\Rightarrow 11V_0=36\Rightarrow V_0=\frac{36}{11}V$
$\Rightarrow Q=5V_0=\frac{180}{11}=16.36\mu \text{C}$