GATE EC 2015 Set 3 — Question 63
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Electromagnetics → Transmission Lines → Input Impedance & Reflection
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Question
Consider the 3 m long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of , is terminated by a short circuit, and is excited with a frequency of 37.5 MHz. What is the nature of the input impedance ()?
Correct answer
(D) Capacitive
Solution
Given:
Length m
Frequency MHz
Velocity in air-filled line m/s
Wavelength m
Electrical length in terms of wavelength: m
For a short-circuited lossless line, the input impedance is .
Since the reactance is negative, the input impedance is capacitive.
Length m
Frequency MHz
Velocity in air-filled line m/s
Wavelength m
Electrical length in terms of wavelength: m
For a short-circuited lossless line, the input impedance is .
Since the reactance is negative, the input impedance is capacitive.
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