Q 12-03-167JEE MainJEE Main 2022 (25 Jul, Shift 1)Medium
In the given figure, the value of $V_0$ will be ______ V.
Numerical value type. Enter your answer.
Answer: 4
The three branches are in parallel between ground and the output node. With all cells oriented the same way, by Millman's theorem
$$V_0 = \frac{\frac{2}{1} + \frac{4}{1} + \frac{6}{1}}{\frac11 + \frac11 + \frac11} = \frac{12}{3} = 4\ \text{V}$$
(equivalently, the currents into the node, $(2 - V_0) + (4 - V_0) + (6 - V_0)$ in mA, must add to zero).
Solution by Sreeraj P, M.Sc Physics