Question

In the given circuit diagram the current through the battery and the charge on the capacitor respectively in steady state are

• A. $1A$ and $3\mu C$
• B. $17A$ and $0\mu C$
• C. $\frac{6}{7}A$ and $\frac{12}{7}\mu C$
• D. $6A$ and $0\mu C$
• E. $11A$ and $3\mu C$

Answer 1

Answer: (E)

In steady state current through the branch having capacitor is zero.
$\therefore$ $\frac{1}{R}=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}$
$\frac{1}{R}=\frac{6+3+2}{6}$
$R=\frac{6}{11}$
As $V=iR$
$\therefore$ $6=i\times \frac{6}{11}$
Current through the battery $i=11A$
Charge on the capacitor $q=CV$
$\Rightarrow$ $q=0.5\times {10}^{-6}\times 6$
$q=3\mu C$