GATE EC 2020 Set 1 — Question 56
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Electromagnetics → Transmission Lines → S-Parameters
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Question
For a 2-port network consisting of an ideal lossless transformer, the parameter (rounded off to two decimal places) for a reference impedance of , is ______.
Correct answer
0.8 to 0.8
Solution
Given an ideal transformer with turns ratio , so . The reference impedance is for both ports.
1.The input impedance at port 1 when port 2 is terminated with is:
.2.When port 1 is driven by a source with internal resistance , the voltage at port 1 is:
.3.For an ideal transformer, , so:
.4.The scattering parameter is defined as:
.Rounding to two decimal places, we get .Continue learning with Success Tracker
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