Q 12-03-097JEE MainJEE Main 2024 (9 Apr, Shift 1)Medium
The equivalent resistance between A and B is:
Answer: (B) $19\ \Omega$
The vertical wire joins the top and bottom midpoints into one node X; the horizontal wire (which hops over it without contact) joins the left and right midpoints into another node Y.
A to X: $6\ \Omega$. Between X and Y there are three paths: $10 + 5 = 15\ \Omega$, $7 + 8 = 15\ \Omega$ and $11 + 4 = 15\ \Omega$, in parallel giving $5\ \Omega$. Y to B: $8\ \Omega$.
$$R_{AB} = 6 + 5 + 8 = 19\ \Omega$$
Solution by Sreeraj P, M.Sc Physics