Physics Question from JEE Main 2025 · 28 January, Shift 1

Find the equivalent resistance between the two ends $A$ and $B$ of the circuit described below.

The figure shows: three resistors, each of resistance $\frac{r}{3}$, drawn in a single horizontal chain from the left terminal $A$ to the right terminal $B$ — one $\frac{r}{3}$ from $A$ to a node $C$, a second $\frac{r}{3}$ from $C$ to a node $D$, and a third $\frac{r}{3}$ from $D$ to $B$. Two additional plain connecting wires are drawn: one loops above the chain and joins $A$ to $D$, and one loops below the chain and joins $C$ to $B$.