GATE EC 2026 Set 1 — Question 30
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Network Theory → Circuit Fundamentals & Theorems → Node & Mesh Analysis
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Question
The output voltage (in Volt) for the network given in the Figure is __. (rounded off to two decimal places)
Correct answer
0.95 to 1.05
Solution
Let the bottom rail be the reference node (). Let the top rail voltage be . Let the middle node of the left branch be and the middle node of the right branch be .From the circuit diagram, the source is connected between and with the positive terminal at . Thus:Applying KCL at the bottom rail (where the current source enters the rail from the left and the branch currents exit):Solving equations (1) and (2) by adding them:Now, applying KCL at the top rail (where the current source leaves the rail and branch currents enter):Substituting the value of from equation (2):Rounding to two decimal places, the output voltage is . Note that due to the symmetry of the balanced bridge resistors, the total voltage is independent of the voltage source in the middle branch.
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