A lossless transmission line Z0 = 75 Ω is 10 cm long (f = 800 MHz,...
A lossless transmission line Z0 = 75 Ω is 10 cm long (f = 800 MHz, vp = 0.77c). If the input impedance is Zin = j60 Ω (a) Find ZL (using the Smith Chart) (b) What length of a short-circuit transmission line would be needed to replace ZL?
Homework Answers
Answer:
Given that
A lossless transmission line Z0 = 75 Ω is 10 cm long (f = 800 MHz, vp = 0.77c). If the input impedance is Zin = j60 Ω.
a)
Find ZL.
For a lossless line:
phase
constant = 
Where 
wave length in cm
So, 
Putting these values in above equation
So,
This can also be found using smith chart by finding the normalized value of load impendence and drawing a constant VSWR circle through this point.
b)
length of a short-circuit transmission line would be needed to replace ZL.
For a short circuted transmission line,
Taking tan-1 on both sides
So , length of the transmission line: 
Add Answer to:
A lossless transmission line Z0 = 75 Ω is 10 cm long (f = 800
MHz,...
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