fa2002_exam1soln - ECE 210/211 . . _ Analog Signal...

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Unformatted text preview: ECE 210/211 . . _ Analog Signal Processing Fall 2002 University of Illinois - Basar, Kudeki, Munson Exam 1 Thursday, September 26, 2002 — 7:00-8:15 PM Section: 1 PM (circle one Please clearly print your name and circle your section in the boxes above. This is a closed book and closed notes exam. Calculators are not allowed. Please show all your work. Backs of pages may be used for scratch work if necessary. All answers should include units wherever appropriate. Good luck! Probleml Problem2 Problem 3 Problem4 Problem 1 (8 points each) a) Place dots in the complex plane corresponding to the following complex numbers. 1*“: j“/ b) For the following circuit find R such that maximum power is dissipated in R. Calculate the value of maximum power. [an 46er V77): f) thfil and {how-e. 12:27.)" 29: v; 29, fll") Jvll- solve, qc’vgm dare-l1), _ Wvl‘l‘a ‘D: . .-- ‘— ,2_ I 17;: + fgkfiv‘; z o 3V 2V a- 4!. , a gijeu. 7’1 T z a (R'Hll‘ 6%) "P fly MK 9. r (Rflzulfxgw J— ,__.. :JfE-z a :2 ~24“ R+1)"l‘ R: Q as ” 2‘? 6. :23 R: Wen/*l’fi’EFTZ Pm— / W c) The inductor shown below carries a current i(t) of 1 A at t = 0. Determine and plot i(t) versus t for t > 0 if the inductor voltage v(t) for t > 0 is shown. V0) 0’) L = 1 H ~—> i(t) ,___JWYYL.___ + V(t) — t (sec) M) 2 : t(sec) l 3 STA¢+I 2%i‘l emf-<1 Tl : T gfiape lJ iwedvrl’lc.‘ 7—4.! 51' 41’ +1 -* Q‘E‘l'l fZI Problem 2 (25 points) Consider the f6110vidng circuit. ' b) What is the value of iL(t), if RL = 1 9.. 972k. .. %e ‘3 or L L“ \g ‘ x QQ’X LiLQX ‘i (a 0:1“ E Q: 3+1 1 Problem 3 { 25 ppints) ‘ Consider the circuit below. 3) Determine Va. VoH'afie. ’Faliaww. Va :2‘ b) Determine Vb. |T¥ier cmfltl‘ um‘HM new bdfvm 11a ular Gm 53/3607. £3}th KC at mined ‘fbrmhml-a‘ngaf :ok fly 2’ Vb?” Jkl/dg 2V“ 1.} c) Determine Vc. ND award” can fields.) inh 3;!“ +¢IWVIMCII an: ‘ - as” v ‘ am' a 2: Y‘Iflh‘i' 0/9 and»)? a) 6 .1: ma, Wea- MW vc yf—kvé: with; (“H v ,1 .— d) Determine Vd. “Hie KCL at m‘muJ +¢thw’ 0’? let/At 0/5 C“HM/D" VrVe H VL’VJ 2r), _“‘2“'/d ‘32-?“ wk 59” 5K M ;< Q [9: rz{,2+z)-—2 : —-;o Problem 4 ( 26 points) Consider the above circuit with an inductor voltage v(t) and an inductor current i(t). The switch is open until t = 0 after which it is closed. 3) DBTCITnine i(0) assuming steady state conditions pn'or to t = 0. {WH’C/Lk 074A) wot,ch SMW‘T ,FL/ {(0. c) What is i(o°) E lim i(t)? Show work. l—iw fig—taco trmMcW~€SkM ’ ’i(—L~)-—; Qf’r'i—iV. gee/3r r f d) What is the time constant tau (1:) of the system for t > 0? Q1” == l// \ ml 9. rep/Tm Men/um; Cat/mead 172 L, '2. ’ 1,1,}; “:1: fi-é—‘T-‘isv f r ’2‘ e) Express i(t) fort>0. pt rib/L»: 6(a);C,Q--é)e r/Ws rats MA- ...
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This note was uploaded on 08/08/2009 for the course ECE 210 taught by Professor Whoever during the Fall '07 term at University of Illinois at Urbana–Champaign.

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fa2002_exam1soln - ECE 210/211 . . _ Analog Signal...

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