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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 — 7:008:15 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 {howe. 12:27.)" 29: v; 29,
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: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)
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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.
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Vb?” Jkl/dg 2V“ 1.} c) Determine Vc.
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.— d) Determine Vd.
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‘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?
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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.
 Fall '07
 whoever
 Signal Processing

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