ECE 5180 Midterm I (Transmission Lines)
Name _____________________________
You may use your portfolio and calculator. No textbooks.
1. (33 points) S/Z/Y Parameters
a. Sketch the RLGC circuit for a transmission line.
b. Find the Z-matrix using voltage and/or current dividers. You can leave your answers in terms of impedance equations (something like Z1 || Z2 is acceptable).
c. Find the ABCD parameters for the RLGC transmission line circuit.
d. Find the ABCD parameters for the RLGC matrix with the right port terminated in a 25 ohm load. You can leave this in terms of matrix equations.
2. (33 points) Double Stub matching networks
Design a double stub matching network to connect a load that is 75 + j 50 ohms to a 50 ohm line. Use 50-ohm short-circuited stubs. There is no distance between the load and first stub. The distance between stubs is 0.04 wavelengths. Sketch your final design, labeling all lengths.
3. (33 points) L matching
- Design an L-matching network to connect a load that is 75 ohms to a 50 ohm line. Use a high-pass design.
- For a frequency of 1 GHz, specify the C and L values.
- The circuit shown below was designed to match a load of 25 ohms to the generator. Specify C and L components for proper matching when the load is 25 – j 10 ohms. If you cannot absorb the load, describe in detail how to redo the problem using resonance (you do not need to do the actual calculations, but do specify each step).
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ECE 5180 Midterm I
Name ___________________________
Problem 1 ________ / 33 points
Problem 2 ________ / 33 points
Problem 3 ________ / 33 points
+ 1 point
Total ________ / 100 points