Question

In steady state, find the charge on the capacitor shown in the figure.

• A. $4\mu C$
• B. $5\mu C$
• C. $6\mu C$
• D. None

Answer 1

The correct option is A $4\mu C$

In steady state condition no current flow through the capacitor,

The equivalent resistance is,

$R_{eq}=10+20=30\Omega$

The current flow thought the circuit is

$i=\frac{2}{30}A$

The voltage drop across the $10\Omega$ is

$V^{\prime }=iR=\frac{2}{30}\times 10=\frac{2}{3}V$ which is equal to the voltage across capacitor.

The charge stored in the capacitor of capacitance, $C=6\mu F$

$Q=C{V}^{\prime }=6\times {10}^{-6}\times \frac{2}{3}$

$Q=4\mu C$

The correct option is A.