GATE EE 2015 Set 1 — Question 29
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Electric Circuits → Network Theorems → Thevenin's Theorem
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Question
For the given circuit, the Thevenin equivalent is to be determined. The Thevenin voltage, (in Volt), seen from terminal AB is ___________
Correct answer
3.3 to 3.4
Solution
To find the Thevenin voltage across terminals AB, we find the open-circuit voltage at AB. Let the bottom wire be the reference ground (). Let be the node voltage above the middle resistor.Applying KCL at node :
where is the current flowing towards terminal A.
Also, the current is defined as the current through the middle resistor: .
Substituting into the expression for :
Now substitute back into the KCL equation:
The Thevenin voltage is the voltage across the resistor at terminal AB:
.
where is the current flowing towards terminal A.
Also, the current is defined as the current through the middle resistor: .
Substituting into the expression for :
Now substitute back into the KCL equation:
The Thevenin voltage is the voltage across the resistor at terminal AB:
.
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