Help with Homework Equation: Input Impedance

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SUMMARY

The discussion centers on calculating the input impedance of a low-loss transmission line of infinite length with a characteristic impedance (Zo) of 50 + 0.1j ohms, connected to a load impedance (Zl) of 100 ohms. It is established that for an infinite transmission line, the input impedance is equal to the characteristic impedance, rendering the load impedance irrelevant. Therefore, the input impedance is definitively 50 + 0.1j ohms, regardless of the load connected.

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EEuser
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Homework Statement
What is the input impedance of a low-loss line of infinite length and Zo=50+0.1j ohms if connected to a load of Zl=100 ohms.
Relevant Equations
See below
Homework Equation:
Screen Shot 2019-12-16 at 4.05.19 PM.png


I do not think I am getting the correct answer for this problem when I do it out by hand. Do I plug the necessary values into the equation shown above or do I say that because it is an infinite line that the characteristic impedance is equal to the input impedance? If the answer does require plugging the values into the above equation please include answer as I do not think I am getting the correct answer when I am plugging in values.
Appreciate the help!
 
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EEuser said:
Homework Statement:: What is the input impedance of a low-loss line of infinite length and Zo=50+0.1j ohms if connected to a load of Zl=100 ohms.
Sounds like a trick question to me. If the transmission line is of infinite length, then what does the load impedance matter? Unless you have a lot of time on your hands to make the measurement...
 

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