Physics - Capacitor Question with Solution | TestHub

No current flows through $6\Omega$ resistor as a capacitor offers infinite resistance to a D.C. The equivalent circuit is thus as shown below in which $2\Omega$ and $3\Omega$ are in parallel
$\therefore \frac{1}{2}+\frac{1}{3}=\frac{1}{R^{\prime }}$ or $R^{\prime }=\frac{6}{5}\Omega =1.2\Omega$ Current drawn from the battery $I=\frac{E}{R}=\frac{6}{4}=1.5\text{ Ampere }$ Potential difference between $\mathrm{A}$ and $\mathrm{B}$ $V=I{R}^{\prime }=1.5\times 1.2=1.8\mathrm{V}$ $\therefore$ Current through $2\Omega$ resistor $=\frac{V}{2}=\frac{1.8}{2}=0.9\mathrm{A}$