Concept explainers
Choose the correct options from the given choices to mention which of the given conditions are not true of a lossless line.
Answer to Problem 4RQ
The correct options from the given choices are option (a) and (c).
Explanation of Solution
Calculation:
Consider the general expression of input impedance for a lossless line.
For a shorted line with
Consider the general expression for electrical length.
Therefore, the input impedance is,
The above equation becomes,
Therefore, a transmission line with length
For a short circuit,
Substitute 0 for
Hence, a transmission line with one-quarter wavelength long transforms a short circuit into an open-circuit and vice versa.
For an open line with
The electrical length is,
The input impedance is,
The above equation becomes,
For a shorted line with
The electrical length is,
The input impedance is,
For a matched line,
Therefore, from the above explanation, option (a)
Conclusion:
Thus, the correct options from the given choices are option (a) and (c).
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