Question

The equivalent resistance between points $A$ and $B$ in Figure at steady state will be

• A. $2r$
• B. $\frac{3}{5}r$
• C. $\frac{5}{3}r$
• D. none of these

Answer 1

The correct option is A $2r$

In the steady state, the capacitor is fully charged so no current is flowing through the capacitor branch and so the capacitor branches may be removed from the circuit, the equivalent circuit is shown in figure.
The equivalent resistance between A and B is $R_{AB}=R_1+R_2=r+r=2r$ as $R_1$ and $R_2$ are in series.