GATE EC 2023 Set 1 — Question 51

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MCQ+2 / -0.67MediumS-ParametersTransmission LinesElectromagnetics

Electromagnetics → Transmission Lines → S-Parameters

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Question

The S-parameters of a two port network is given as [S]=[S11S12S21S22][S] = \begin{bmatrix} S_{11} & S_{12} \\ S_{21} & S_{22} \end{bmatrix} with reference to Z0Z_0. Two lossless transmission line sections of electrical lengths θ1=βl1\theta_1 = \beta l_1 and θ2=βl2\theta_2 = \beta l_2 are added to the input and output ports for measurement purposes, respectively. The S-parameters [S][S'] of the resultant two port network is
Diagram of a two-port network [S
with transmission lines of length l1 and l2 added to ports 1 and 2]
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