GATE EE 2026 Set 1 — Question 25
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Electric Circuits → Network Elements & Sources → Dependent Sources
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Question
Refer to the four circuits shown. Which one of the following options for and makes all of them realizable?
Correct answer
(A) k₁ = 1, k₄ = -1/3, for all values of k₂ and k₃
Solution
To be realizable, the circuits must satisfy KVL and KCL without contradiction.
1.Circuit 1: Two voltage sources are in parallel. KVL requires . Since , we must have .
2.Circuit 2: A voltage source in parallel with a current source is always realizable for any value of .
3.Circuit 3: A current source in series with a voltage source is always realizable for any value of .
4.Circuit 4: Two current sources are in series in a single loop. KCL requires the current to be consistent. Following the loop, and are in opposite directions relative to the loop flow, so . Substituting , we get .
Thus, and are necessary conditions.Continue learning with Success Tracker
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