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Unformatted text preview: ECE 166 Prof. Gabriel M. Rebeiz o Midterm 1 — ECE 166
Microwave Cichits and Systems
Tuesday November 2, 2009
3:304:50 pm — WLH 2207 Exam Rules:
1. There are 3 problems in this exam, Solve all problems.
2. Absolutely no cooperation is allowed between any students. The only people who can answer questions are Prof. Rebeiz and the TAs. 3. Open book. open notes, open anything. It is advisable to bring a summary sheet to the exam. 4. Blue book required. Bring your own Smith Chart (maybe 5), compass and ruler. 5. Only simple calculators are allowed. No electronics in any form are allowed. 6. No name, no grade. No units, no grade. ' 7. Use blue or black iNK only. Nothing in pencil'wﬂl be graded except if used on the Smith Chart. 8. Partial answers will result in partial credit. Answers {even if correct!) with no clear solutions or how you got there will result in zero credit.
9. Wrong answers with a good explanation of why they are wrong will result in partial credits. 10. This exam is graded out of 100. Problem 1 (TLines and Matching: 30 points) a) Using a Smith Chart. determine the required Tline length for the following circuits. Clearly label it ona
single Smith Chart.  " —l—————=——=+—.o
. if n
gasst i... ¥02i0JL 5* a“ b) Design a matching circuit using only inductors to matchZL= 20j60 Q to 50 Q as shown below.
Determine X for the series and shunt inductors. Clearly show your work on the Smith Chart. Use a single Smith Chart.
L: £33.
Problem 2 (Time Domain, Frequency Response: 30 polnts) 3} Plot the time domain response for the following circuits at Vload and V3... {do no! caicuiore r)
b} Plot the frequency response ofS” and $3] from 0 to inf. on the Smith Chan. Use a single Smith Chart. Vin __ h“ h" ’1 ‘J V T } Z2o ' ' H . 3
20 d i K i a. I L. 213 W ._ ,9“
SUM Sac: ’33 i “51'” Consider the transmission line with a load 71L: IO Q. A section of lossy t—Iine with a length of (“251 is
ﬁrst attached and with em = 0.9, and then another lossless section is attached with a length of 0.251.
Assume that Vu+=lV..mS at the load. All impedances are 20. Use a single Smith Chart. :1) Plot ZL, ZA, ZB on a Smith Chart. Clearly write their normalized values. b) Determine the position and value ofthe minimum and maximum voltage. e) Determine the VSWR at the load, at point A, and at the input (point B). d) Determine the power dissipated by the load, the power input to the Tline, and the power dissipated
by the iine. (do not do the caicziimions to get fire Intfﬂbet‘s..jttsi write the equations cieoriy and stop) ...
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 Fall '10
 CS
 Power, Following, Transmission line, Impedance matching, Smith chart

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