GATE EC 2023 Set 1 — Question 51
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Electromagnetics → Transmission Lines → S-Parameters
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Question
The S-parameters of a two port network is given as with reference to . Two lossless transmission line sections of electrical lengths and are added to the input and output ports for measurement purposes, respectively. The S-parameters of the resultant two port network is
with transmission lines of length l1 and l2 added to ports 1 and 2]

Correct answer
(A) [figure]
Solution
When a transmission line of electrical length is added to a port, the reference plane shifts. For a two-port network, if lines of length and are added to ports 1 and 2 respectively, the new S-parameters are related to the original by:
Specifically:
This matches the matrix in option (A).
Specifically:
This matches the matrix in option (A).
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