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JEE Main 2022 (25 Jul, Shift 1) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2022 (25 Jul, Shift 1)

Q110JEE Main 2022 · 25 JUL · SHIFT 1Medium

Kirchhoff's Laws & Measuring Instruments

In the given figure, the value of Vo will be _____________ V.

Numerical answer type. Work it out, then open the answer.

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Answer: 4

Three branches (cell + $1\ \text{k}\Omega$ ) are in parallel between ground and the output node, so use Millman's theorem.
$V_o = \dfrac{E_1/R + E_2/R + E_3/R}{1/R + 1/R + 1/R} = \dfrac{2 + 4 + 6}{3}$
$V_o = 4\text{ V}$

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