Help with Homework Equation: Input Impedance

Click For Summary
To determine the input impedance of a low-loss infinite transmission line with a characteristic impedance of Zo=50+0.1j ohms connected to a load of Zl=100 ohms, it is essential to recognize that the input impedance equals the characteristic impedance for infinite lines. Therefore, the load impedance does not affect the input impedance in this case. The correct answer is that the input impedance is approximately 50+0.1j ohms. This conclusion simplifies the problem, as the infinite length means the load's influence is negligible. Understanding this concept is crucial for solving similar problems in transmission line theory.
EEuser
Messages
4
Reaction score
0
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!
 
Physics news on Phys.org
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...
 

Similar threads

Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
8K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
6
Views
2K