GATE EC 2020 Set 1 — Question 19
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Network Theory → Circuit Fundamentals & Theorems → Thevenin & Norton Theorems
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Question
In the circuit shown below, the Thevenin voltage is
Correct answer
(C) 3.6 V
Solution
To find the Thevenin voltage , we calculate the open-circuit voltage at the output terminals. Let be the node voltage at the junction of the 1A source, resistor, and 2V source. Let be the node voltage at the junction of the 2V source, series resistor, 2A source, and parallel resistor. Since the output is open, no current flows through the resistor, so .From the diagram, the 2V source is connected such that is not quite right. Let's use nodal analysis at the node between the 2V source and resistor () and the main node .
Actually, looking at the polarity, .
KCL at : .
KCL at : .
Substituting : V.
Thus, V.
Actually, looking at the polarity, .
KCL at : .
KCL at : .
Substituting : V.
Thus, V.
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