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ECSE 352 Final 2008

# ECSE 352 Final 2008 - ECSE 352 Electromagnetic Waves...

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ECSE 352: Electromagnetic Waves 1 of 8 ECSE 352: Electromagnetic Waves 09:00 – 12:00, December 15, 2008 Examiner: Zetian Mi Associate Examiner: Andrew Kirk Student Name: McGill ID: Instructions: This is a CLOSED BOOK examination. Only the EQUATION SHEET provided may be used. STANDARD CALCULATOR permitted only. SPACE IS PROVIDED on the examination to answer all the questions, and SHOW ALL WORK to receive full credits The first section of this test consists of ten short questions, and the second section consists of four questions requiring calculation. You are required to answer all the questions in both sections I and II. Do not try to fully answer each question if it means that you will have insufficient time to attempt the others. The total number of marks for the test is 100. Questions in section 1 are worth a total of 30 points. Section 2 is worth a total of 70 points. The test consists of 8 pages (including this page), plus a formula sheet. Please ensure that you have a COMPLETE examination paper before starting. December 2008 Final Examination

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ECSE 352: Electromagnetic Waves 2 of 8 Section I 1. The resistance of a transmission line typically increases as the operating frequency increases, please explain why. [3 points] When frequency increases, the sin depth decreases. This leads to a reduced effective area for transmission lines. Therefore, resistance increases. 2. What are the lowest TM and TE modes in a rectangular waveguide? [3 points] TM11, TE01 or TE10 (depending on the geometry) 3. What are the essential differences in the propagation characteristics of dielectric and conducting waveguides? [3 points] Dielectric: evanescent wave in the cladding region; The lowest mode has no cutoff; For a given design, the number of operating modes is limited. 4. Is it possible that lossy transmission lines, i.e. ܴ, ܩ ് 0 , can be distortionless? Please support your statement. [3 points] Yes. Heavyside’s condition G/C=R/L Æ no dispersion even for lossy lines.
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