GATE EE 2020 Set 1 — Question 29
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Electric Circuits → Network Theorems → Thevenin's Theorem
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Question
The Thevenin equivalent voltage, , in V (rounded off to 2 decimal places) of the network shown below, is __________.
Correct answer
13.8 to 14.2
Solution
To find the Thevenin equivalent voltage at the open terminals:
1.Identify the nodes. Let the node between the 4V source, 3 vertical resistor, and 2 horizontal resistor be . Since the 4V source is connected directly between the top and bottom rails at that point, .
2.Let the node after the 2 resistor (where the 5A source is connected) be .
3.Apply KCL at node : .
4.Since the output terminals are open, no current flows through the rightmost 3 resistor. Therefore, the voltage at the output terminal is the same as .
5..
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