Official PYQ · 2023Set 1 · Q41Transmission LinesMCQ2 marks

GATE EC 2023 Set 1 Q41 — Transmission Lines

The $S$ -parameters of a two-port network is given as
$[S]=\left[\begin{array}{ll} S_{11} & S_{12} \\ S_{21} & S_{22} \end{array}\right]$
with reference to $Z_0$ . Two lossless transmission line sections of electrical lengths $\theta_1=\beta l_1$ and $\theta_2=\beta l_2$ are added to the input and output ports for measurement purposes, respectively. The $S$ -parameters $\left[S^{\prime}\right]$ of the resultant two port network is

Choose one optionA

\left[\begin{array}{ll}S_{11} e^{-j 2 \theta_1} & S_{12} e^{-j\left(\theta_1+\theta_2\right)} \\ S_{21} e^{-j\left(\theta_1+\theta_2\right)} & S_{22} e^{-j 2 \theta_2}\end{array}\right]

B

\left[\begin{array}{ll}S_{11} e^{j 2 \theta_1} & S_{12} e^{-j\left(\theta_1+\theta_2\right)} \\ S_{21} e^{-j\left(\theta_1+\theta_2\right)} & S_{22} e^{j 2 \theta_2}\end{array}\right]

C

\left[\begin{array}{ll}S_{11} e^{j 2 \theta_1} & S_{12} e^{j\left(\theta_1+\theta_2\right)} \\ S_{21} e^{j\left(\theta_1+\theta_2\right)} & S_{22} e^{j 2 \theta_2}\end{array}\right]

D

\left[\begin{array}{ll}S_{11} e^{-j 2 \theta_1} & S_{12} e^{j\left(\theta_1+\theta_2\right)} \\ S_{21} e^{j\left(\theta_1+\theta_2\right)} & S_{22} e^{-j 2 \theta_2}\end{array}\right]

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Answer: A

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Published 10 Oct 2026

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