Q 12-03-054JEE MainJEE Main 2026 (4 Apr, Shift 1)Medium
The voltage and the current between $A$ and $B$ points shown in the circuit are ______.
Answer: (B) $24$ V, $4$ A
Concept. Identical branches (same emf, same internal resistance) in parallel behave like one cell with the same emf and the internal resistance divided by the number of branches. The third branch's 14 V and 13 V cells add to 27 V, so all four branches are identical.
Step 1. Equivalent source. $E=27$ V, $r=\dfrac34=0.75\ \Omega$.
Step 2. Load. The two $3\ \Omega$ resistors from $A$ to $B$ are in series: $6\ \Omega$.
Step 3. Current. $I=\dfrac{27}{6+0.75}=4$ A.
Step 4. Voltage. $V_{AB}=4\times6=24$ V.
Answer. $24$ V, $4$ A (Option B).
Solution by Sreeraj P, M.Sc Physics
