GATE 2021 EC – Question 39

Networks, Signals and Systems · Two-Port Networks and Wye-Delta Transformation · 2 marks · Multiple choice

Consider the two-port network shown in the figure.

The admittance parameters, in siemens, are

Diagram for GATE 2021 EC question 39

$y_{11}=2,\ y_{12}=-4,\ y_{21}=-4,\ y_{22}=2$
$y_{11}=1,\ y_{12}=-2,\ y_{21}=-1,\ y_{22}=3$
$y_{11}=2,\ y_{12}=-4,\ y_{21}=-1,\ y_{22}=2$
$y_{11}=2,\ y_{12}=-4,\ y_{21}=-4,\ y_{22}=3$

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Correct answer: (C) $y_{11}=2,\ y_{12}=-4,\ y_{21}=-1,\ y_{22}=2$

Explanation

KCL at the input node: $I_1=V_1+(V_1-V_2)-3V_2=2V_1-4V_2$ (the dependent source injects $3V_2$ into this node). KCL at the output node: $I_2=V_2+(V_2-V_1)=-V_1+2V_2$. So $y_{11}=2$, $y_{12}=-4$, $y_{21}=-1$, $y_{22}=2$.