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What is the input impedance of a transmission line of infinite length?
A transmission line of finite length that is terminated at one end with an impedance equal to the characteristic impedance appears to the source like an infinitely long transmission line and produces no reflections….Detailed Solution.
| Length of Line | Input Impedance |
|---|---|
| l = λ/4 | Z i n = Z 0 2 Z L |
What is the expression for input impedance of an open circuited transmission line?
Explanation: The open circuit in a transmission line refers to the load side open circuited. In this case, the load impedance will be infinite. Thus the transmission line equation will be ZOC = -j Zo cot βl.
What are the open circuit impedance parameters?
Z-parameters are also known as open-circuit impedance parameters as they are calculated under open circuit conditions. i.e., Ix=0, where x=1,2 refer to input and output currents flowing through the ports (of a two-port network in this case) respectively.
What is the input impedance of a transmission line?
If Z L is equal to the characteristic impedance Z 0 of the transmission line, then the input impedance Z i n will be equal to Z L. Otherwise Z i n depends on both Z L and the characteristics of the transmission line.
Which is the impedance of a terminated lossless transmission line?
Equation 3.15.2 is the input impedance of a lossless transmission line having characteristic impedance Z 0 and which is terminated into a load Z L. The result also depends on the length and phase propagation constant of the line. Note that Z i n ( l) is periodic in l.
What is the input impedance of a short circuit?
The input impedance of a short- or open-circuited lossless transmission line is completely imaginary-valued and is given by Equations 3.16.6 and 3.16.8, respectively. The input impedance of a short- or open-circuited lossless transmission line alternates between open- ( -increase in length.
What is the input impedance of a stub?
A transmission line that is terminated in an open- or short-circuit is sometimes referred to as a stub. The input impedance of a short- or open-circuited lossless transmission line alternates between open- and short-circuit conditions with each λ/4 -increase in length.