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
To find the Thevenin voltage (), we calculate the open-circuit voltage across terminals 'ab'. Since the terminals are open, the entire current from the source flows through the resistor. Thus, . The voltage across the resistor is . The dependent source voltage is . Following the KVL path from 'b' to 'a', .To find the Thevenin impedance (), we deactivate the independent source (open circuit) and apply a test current at terminal 'a'. The current flows through the resistor, the dependent source, and the resistor. Here, . The voltage at terminal 'a' is . Thus, . Therefore, the equivalent is 65 V in series with .
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