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GATE 2024 BM – Question 57

Electrical Circuits · Network Theorems · 2 marks · Numerical answer

Find the equivalent impedance ZAB of the shown network, in ohms to one decimal place. Each resistor is 1 Ω and the dependent voltage source equals the voltage V across the central resistor.

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Correct answer: 2.0 to 2.0

Explanation

The dependent source forces the left upper node to the same voltage V as the central upper node. Therefore no current flows through the resistor joining those two nodes. Input current flows through the right-hand one-ohm resistor and central one-ohm resistor in series. Thus ZAB=2.0 Ω. The dependent source must remain active when finding this impedance.

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