GATE EE 2021 Set 1 — Question 14
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Electric Circuits → Network Elements & Sources → Dependent Sources
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Question
For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals 'ab' is
Correct answer
(B) 65 V in series with 15 Ω
Solution
Thevenin voltage (open-circuit voltage across a-b)With the terminals - open, no current can leave through the branch, so the whole source current flows down the resistor:The resistor therefore develops (positive at the top node), and the dependent source adds with its terminal towards . Since the open resistor carries no current and drops nothing,Thevenin impedanceDeactivate the independent source (replace it by an open circuit) and drive the terminals with a test current entering at . This current flows through the resistor and the dependent source and then down the resistor, soAdding the drops from to :The equivalent circuit is a source in series with , which is option (B).Answer: (B) 65 V in series with
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