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Pre-lab Section
1. Design a quarter-wave matching transformer to match a 10Ω load to a 50Ω line. Assume
a design frequency of 300𝑀𝐻𝑧.
2. Design a single-stub tuner to match a load impedance comprising a series RC where 𝑅 =
60Ω and 𝐶 = 0.995𝑝𝐹 to a 50Ω line. Assume a design frequency of 2𝐺𝐻𝑧. Find the
solution using the shortest length of open-circuited stub. You may use the MATLAB
routines provided in Canvas under Module 5 Supplementary Material to perform these
calculations.
d=0.2594*(4*90)=93.384
Lo=0.1550*(4*90)=55.8
September 3, 2019 Page |1
, Arizona State University Lab3 Report iCourse EEE341
Lab Section
1. Quarter-wave transformer matching network:
Demonstrate the schematic in this area.
Demonstrate the simulation result in this area.
a. When you plot the 𝑆11 for the quarter-wave transformer matching network, you
should see additional frequencies at which the load is matched to the source. Why is
that happening?
Answer it with few sentences.
When we calculated the electrical length in part 1, this was at a point of lambda/4. As we
know, a complete rotation in the smith chart is half a wavelength. So if we look at the smith
chart for this quarter wave transformer network, an integer of (lambda/2)+(lambda/4) will
be a matched to the source. Electrical length is a quantity dependent on frequency, so if the
frequency is changed, the electrical length will also change.
September 3, 2019 Page |2