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GATE 2025 EC – Question 19

Networks, Signals and Systems · Circuit Analysis · 1 mark · Multiple choice

Consider a part of an electrical network as shown below. Some node voltages, and the current flowing through the 3 Ω resistor are indicated.

The voltage (in Volts) at node $X$ is ________.

Diagram for GATE 2025 EC question 19
  1. $\frac{20}{3}$
  2. $\frac{32}{3}$
  3. $\frac{22}{3}$
  4. $\frac{2}{3}$

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Show answer and explanation

Correct answer: (A) $\frac{20}{3}$

Explanation

The 1 A through the 3 Ω resistor flows from the 9 V node down to the junction, so the junction voltage is $9-1\times3=6$ V. The branch from the 8 V source to that junction is 2 Ω + 1 Ω in series, so its current is $(8-6)/3=2/3$ A. Then $V_X=8-2\times\frac23=\frac{20}{3}$ V. The network to the right does not affect this.