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ECE35_Final_WIN08__Solutions

ECE35_Final_WIN08__Solutions - University of California San...

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Unformatted text preview: University of California San Diego Department of Eieotricai and Computer Engineering ECE 35 Final Exam Winter 2008 Name (Last, First) Student ID Number 33‘ u lion; (3?) Signature This is a closed book exam, other than a single page of notes. Cellphones, and electronics other than a non-graphing calculator, are absolutely forbidden. You must show your work to receive credit on any problem. Write clearly: work which is not legible will not count towards your grade. All answers should be reduced to simplest form (decimal or fractions are OK). Answers MUST HAVE UNITS to be correct (i.e., 30, 2A, 4mV) Good exam policy: (1) READ THROUGH THE ENTIRE EXAM BEFORE BEGINNING (2) WORK ON THE SIMPLER PROBLEMS FIRST (3) TRY TO ANSWER ALL PROBLEMS Problem ‘1 (40 pts, 20 points each) 1A: Express the drive voltage at left as an equation and as a phasor +10V .fl. «0 VHF 3’ 003(1000 ‘T H "3? > (‘f P17 ””0 : ~ "I“ I._ V= 6 i ,2. I] -10V 1ms 2ms 3ms 4ms 5ms Ems 2:1 '__ L ._- Looo'e L3; T- z-td’s E. F. ( .c {IQJ'R’T— h) 4) '2 Z" ‘- 2U Flu-9:5,; is give: 30:»sz MAL} {W 13: Express thsa total impedance of the circuit at left, in the following formats: ‘ (‘3 _ (i) ReEtan ular:) = 2‘ + j Z “(L 20 500uF 3 +7 .. I‘ (ii) Polgr: V 2 = 2 E Z ““3 +5 (iii) Graplliixal (I be! axes and plot on scale at right) vd(t) = cos(1000t+45°) [V] K fin- ~s ‘7‘??3 W” ‘LAL— {00“‘3— A {a ‘ ,_ +‘2. Z 22+.a'1c32“ 2 O '0‘ 5!: Page as Problem 2 (40pts, 10 points each) 2A (15pts): Find the Thevenin equivalent to the drive circuit below, where i(t) = 500$(2t) 28 (15 pts): Find the load that maximizes power transfer into the load: show each element (resistor, capacitor. inductor) 20 (10 pts): Using this load. what is the reactive power dissipated in the entire circuit? #156357: damn. L=O.5H A) Can w.r“‘ Currl'.-+ +0 ”LEI-34 She/L; ; Page 3'6 Problem 3 (40 pts, 20 points each): 3A: Find the Thevenin equivalent, when R = 30, L = 0.1H, V1(t) = 4 oos(30t), and V2“) = 3 Sin(30t) v26) 5m Must-on“; "it: in; Q a (may to col—mi) 2.. . L3 '““’ . 73““ is ”‘M‘a” R VAB(t) V1(t) 0 "i b W ‘ .e w :2, " V i Z ., .e g N .. I? :. .H ’- “'73:”; :(u‘+u?_) A, a.“ Vs. — eL 11.. 23 its is £2. H I w G" .3 e. L W 6‘ -D I J; ~11 c. 3A: Find the output voltage VAB when the second voltage source is changed to a DC 3V source. Express your answer in the time domain. THO ‘F’bédCMCLIC—C -—9 gJVfPDS;‘4fi‘9W, ‘uAdc.‘{'Of WW!) Sue-f“? V .-_= 3V, Dc— : 3 1: 519.. 1:) 0.; vizier HQ Vol-Pay. ol- g 3 1-3 : 3 _I. .1 ._ ~' g ; C; Q; _ 3L? “I g _ 3E . 2. Ed ‘1 Vkfi IF— 2_ \ ZI... 1—322 3 Problem 4 (40 pts) 4A & 4B (10 points each) What are the transfer functions H1(w) and H20») (Vow/Vin) for the two circuits below? 0° Pb) Ra .. A66 G5 Wl+17¢ div-{al.zr" I 'Vcc _.L— _ - m 390. r- 3 ., u. .1. L... i “‘1 Vaut In‘ E0+duc ‘25 .. ~ VLF - k " z — E H M a . ”out. “ RF (" I“) 5 4C: (5 pts) Which values defined in the circuits limit the maximum transferred frequency, and how? i Qircu'J' 1‘: Trans-Fer 'pIJ-cc'kou Air-DP) Hear kerb (.1qu L1)? Fig; Circ03+ 2; NO Frag-acute? AwalO-MCC. 4D: (5 pts) Which values defined in the circuits limit the maximum and minimum transferred output voltage. and how? Circuit- I‘- M» EJMI-I' (Unless Camemgnl-r berm 9") . . I. Circofl Z: GPA“? SUPP-e7 mecfi DJ+PU+ FVCfi E V9.3“. - v“. 4E: (5pts) 1f the output of the second circuit is connected to the input of the first, what is the new transfer function? “‘ "' "’ 2F ‘ c HUG-J): H1045 H‘(u)= .__.__. .Ji—a K5 i-i-fl'LJCEB 4F: (5 pts) Does this transfer function change of the order of the two circuits were reversed? Why? YCJ} ‘HK Whit rcIiJ‘i‘Dd' GRIN—yd {BK Vfll‘ffijc a‘o'v'iA-u- end-(wi- . [l-C Hum. mare. an Ofamf i-a (ii-cauti- L: #1 fig, JC'WMS-au- pvfiagous “90“ EC. mai'ihl‘dLlA—l Pagefitfi Problem 5 (40 pts): The switch in the circuit below is opened at time t=0 after being closed for a long time. T _ E“ to ' 15—!" 1 1:1) 2:1 &,_0 P 5' [O X £1 5 kf aka“ L2— Ft ri'jL-i' "‘ RS : 18 Page 646 ...
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