ECE
HW10solutions

# HW10solutions - 50 ﬁdw‘ o n ECE604 Homework 10 Out...

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Unformatted text preview: 50 ﬁdw‘ o n ECE604 Homework 10 Out: Tuesday, March 30, 2004 (Session 21) Due: Tuesday, April 6 (Session 23) [Students with tape delays: due according to session number] Notes: 0 Mid-term exam #2 will be held in class Thursday, April 8 (Session #24). The exam will cover chapters 3, 5, and 6. 0 You may bring a one-sided 8 1/2” X 11” formula sheet (one page only) to the exam. An additional formula sheet will be supplied and made available prior to the exam. 0 No calculators, no PDA, etc. at exam. 0 Due to travel obligations, lecture for Tuesday, April 6, 2004 (session #23) will be pre- taped. 0 Prof. Weiner will not be available for office hours on Wednesday, April 7 and Thursday, April 8. o The TA, Dennis Lin, will hold expanded office hours the week of the exam. His office hours will be: Tue 3:00-4:30 pm Wed 2:30-4:00 pm Thu 3:00-4:30 pm Problem numbers are from the text by Ramo, Whinnery and Van Duzer (3rd. edition, 1994). 1. Review Problem Consider a parallel—plate transmission line made of perfectly conducting plates. The plates are 1 mm wide and are spaced by 50 um. The plates are separated by an insulator with relative dielectric constant St = 9. Assume u = Mo. The transmission line has characteristic impedance Z0 2 6.39 . Assume the transmission line is driven at one end by a sinusoidal voltage source. At the other end a load resistor R = 2582 is connected. The transmission line is 10 cm long. perfectly conducting plates ' (1.;mnWi-de) For what range of frequencies (work out approximate numbers!) can the transmission- line and resistor combination be modeled as a (frequency-independent) lumped circuit equivalent? Draw the equivalent circuit for this frequency range, and explain your answer. 2) 3) 4) 5) 6) 7) 8.2b 8.3b 8.4a 8.40 8.5a 8.5f _ y. ~ C ‘ Q > ' Q ,ukm v- I”; 9 RW‘W‘SD‘V” 1C 5 @3va @3443 ‘k (#5 ,4, 3““ “’5 -’: "in:é . . . ‘3 (L0ﬂ©°‘"" 1°“— nC/élé “93 L \‘S Slwgv TL» “IUMJJ Cm” er : er :4- m fa Cﬂi) W1 “ecCGHiJ n no 1 S a. 2.0 2 t0 5 so 3 15 For 8 6H; excitoixow o? air-{Idled line, a.” waves are wt OFF. Attenuation is -——‘ 8.4a; From £534 0‘), WB= "A .WWR 5‘? 3.40.: buoy-ALAW g?- M C33 ha. Pﬁmed. Ea: = — 5135+ M( k€M8)e'3n¢Me 1H4. = "95+ use oskkt’ose) 63”!“ I c 7% = augusm 021135935sz 3 As in 3.4, M (1331,14: -'x,/5:J£ mam t5=-21_;to\$e=—§’_E_+% sdosﬁmm M 0M5 253 \$305) 43). —_—._ z. 1 q ' .- . ' '— 5Q WT: ws 12.‘_5.3“:)M= wwMB‘)‘m m)°\,\ __: mgﬁaﬁf o - L 3 kg? 0' a 4126'" “a: ﬁt. '3 aQsW'e 325k: —- M in W ma“) «AW-r when. K‘ﬁambf 7am? . Q: . \$15.. §§E=J§= Mata ._- 31%“qu ﬁgs. (x- ant/a) ,- m.‘ E4: 3M; ‘*- all/an) +5., 4mm ‘VX—ﬁ=]w;E, MN: I . >- a. \$2.3: queeﬁqpng 390 “a: 122W“— a"~ Am) +95— ‘* "a 3 21‘; 3W] = 32(1- QLEER§*%EM\&3*] )so: . ' 9t * . . ‘9‘)”: f\$21‘(\+})P—6%U‘3Wqﬂ[9% 1- ““Efe‘ E\-}}L’l'a"7a0~)1‘ = 406955.53 (yam) apt . 1W“ 5m PW ¥\°‘”"“3 4M“m 'm ...
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• Fall '08
• Staff
• Electromagnet, Week-day names, Permittivity, Electrical impedance, Transmission line, Dielectric

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