GATE EC 2016 Set 2 — Question 64
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Electromagnetics → Transmission Lines → Input Impedance & Reflection
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Question
A microwave circuit consisting of lossless transmission lines and is shown in the figure. The far end of is open-circuited. The plot shows the magnitude of the input reflection coefficient as a function of frequency (in GHz). The phase velocity of the signal in the transmission lines is m/s.
📷 Figure: Microwave circuit diagram with transmission lines and
📷 Figure: Plot of the magnitude of the input reflection coefficient versus frequency in GHz
The length (in meters) of is ________Correct answer
0.09 to 0.11
Solution
Setting up. At the junction, the resistor is in parallel with the input impedance of the open-circuited stub (, length ):Reflection coefficient. With and matched (, lossless, so at its input equals ):
- when , i.e. (stub is an open circuit, junction sees just ).
- when , i.e. (stub is a short circuit).
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