GATE EE 2017 Set 2 — Question 41
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Electric Circuits → Network Theorems → Thevenin's Theorem
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Question
For the network given in figure below, the Thevenin's voltage is
Correct answer
(A) -1.5 V
Solution
Step 1: Perform a source transformation on the leftmost branch. The 6 A current source (pointing downwards) in parallel with the resistor is equivalent to a voltage source in series with a resistor.
Step 2: Combine the series resistors in the left branch. .
Step 3: Apply Kirchhoff's Current Law (KCL) at node . Let node be the reference (0 V).Step 4: Solve for .
Multiply the entire equation by 30:Step 5: The Thevenin voltage is the open-circuit voltage between nodes and , which is . Thus, the correct option is (A).
Step 2: Combine the series resistors in the left branch. .
Step 3: Apply Kirchhoff's Current Law (KCL) at node . Let node be the reference (0 V).Step 4: Solve for .
Multiply the entire equation by 30:Step 5: The Thevenin voltage is the open-circuit voltage between nodes and , which is . Thus, the correct option is (A).
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