JEE Main · 2023 · 25 Jan 2023 · Shift 1 · Current Electricity

The plain vertical wire on the right joins the top rail directly to the bottom rail, so both $4\Omega$ resistors lie in a closed loop that draws no current between A and B and may be set aside. What is left from A is the $3\Omega$ resistor, then the two $2\Omega$ resistors connecting the same pair of nodes in parallel, then the $6\Omega$ resistor to B. The parallel pair gives $\frac{2\times 2}{2+2}=1\Omega$, so the equivalent resistance between A and B is $3+1+6=10\Omega$.