GATE EC 2021 Set 1 — Question 39
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Network Theory → Two-Port Networks → Z, Y, h & ABCD Parameters
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Question
Consider the two-port network shown in the figure.
The admittance parameters, in siemens, are
Correct answer
(C) y₁₁ = 2, y₁₂ = -4, y₂₁ = -1, y₂₂ = 2
Solution
Port 1's node is the top-left node at voltage , and port 2's node is the top-right node at . At port 1 there is a 1 shunt resistor and a dependent source injecting into the node. A 1 series resistor joins the two nodes, and a 1 shunt sits at port 2.KCL at port 1 (current entering):KCL at port 2 (current entering):So , , , S. The network is not reciprocal () because of the dependent source, which rules out (A) and (D). (B) has the wrong and .Answer: (C)
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