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JEE Main 2023 (15 Apr, Shift 1) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2023 (15 Apr, Shift 1)

Q88JEE Main 2023 · 15 APR · SHIFT 1Medium

Kirchhoff's Laws & Measuring Instruments

A network of four resistances is connected to $9\text{ V}$ battery, as shown in figure. The magnitude of voltage difference between the points $\text{A}$ and $\text{B}$ is __________ $V$ .

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

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Answer: 3

Each side of the bridge gets the full 9 V across $2 + 4 = 6\ \Omega$ .
Drop from the left node to A (across $2\ \Omega$ ): $9 \times \frac{2}{6} = 3\text{ V}$
Drop from the left node to B (across $4\ \Omega$ ): $9 \times \frac{4}{6} = 6\text{ V}$
$|V_A - V_B| = 6 - 3 = 3\text{ V}$

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