final2020

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California State University, Sacramento *

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161

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Electrical Engineering

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Dec 6, 2023

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pdf

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Dr. Milica Markovi´ c Applied Electromagnetics Laboratory page 1 EEE 161 Applied Electromagnetics Final Exam Instructor: Dr. Milica Markovi´ c Office: Riverside Hall 3028 Email: milica@csus.edu Web: http://athena.ecs.csus.edu/˜milica You will be assigned a frequency 1.1-1.4 or 3-5 GHz. For example, you may be assigned 3.5GHz. Frequency assignments will be posted in Canvas. 1. [5pts] Design a patch antenna at f=f GHz, on the substrate we used to make our antennas. Then, write and submit a file that includes the explanation on the following: (a) write what the width (W) and length (L) are of your antenna in meters. You must include units of W and L for credit. (b) which software did you use to find the width (W) and length (L) of the antenna, (c) include equations that are used in the software, (d) attach the code you used to find it, and the output of the code (use CTRL-A, CTRL-C to copy all output, then paste it as an appendix to this question), (e) the screenshot of the window of the software you used, with code in it, and the results. 2. [15pts] Find the optimal input impedance for the patch antenna you designed. Submit a file that shows: (a) from the completed simulation, what is the normalized optimal input impedance ¯ z = ¯ r + j ¯ x , and optimal input impedance Z = R + jX . (b) which software did you use to find the input impedance? (c) Smith Chart with a marker at the frequency you are given. 3. [15 pts] Match the antenna to 50Ω generator, using 50Ω ideal lines. Then include the following: (a) which software did you use to simulate the matching circuit? (b) show the screenshots of the entire schematic diagram with the three circuits you used to match the antenna. (c) which simulation did you use to simulate these circuits? Include the screenshot of the simulation setup (double click on the simulation gear to show the setup). (d) show the screenshots of the Smith Chart matching results with three markers representing three circuits. California State University Sacramento EEE161 revised: 30. November, 2020
Dr. Milica Markovi´ c Applied Electromagnetics Laboratory page 2 (e) Explain what the two elements in the first matching circuit represent, and how do you know that you are starting the matching from the correct point. (f) Explain the final matching step and explain how each step relates to the Smith Chart. 4. [15 pts] Use the above simulation with transmission lines to make a microstrip matching circuit on the substrate we used in the lab. Include the following: (a) screenshots of Line-Calc that show how ideal line dimensions translate to microstrip line dimensions for the line and the stub. (b) make a table that shows the dimensions of each ideal transmission line and equivalent dimensions of the microstrip circuit. (c) show the screenshots of the entire schematic diagram with the three circuits you used to match the antenna. (d) show the screenshots of the Smith Chart matching results with three markers representing three circuits. (e) explain how each microstrip line relates to the actual antenna. (f) Sketch the layout and dimensions of the antenna circuit (antenna, the connector, the matching circuits, and specify each length and width) California State University Sacramento EEE161 revised: 30. November, 2020
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