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10Sp_Exam1soln

# 10Sp_Exam1soln - ECE 210/211 Analog Signal Processing...

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Unformatted text preview: ECE 210/211 Analog Signal Processing Spring 2010 University of Illinois Basar, Beauchamp, Peck Exam 1 Thursday, February 18, 2010 —— 7:00-8:15 PM NW 80 kam 9 Section: circle one Class: ECE 210 ECE 211 circle one Please clearly PRINT your name IN CAPITAL LETTERS 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. Problem 1 (25 points) Problem 2 (25 points) Problem 3 (25 points) Problem 4 (25 points) Total (100 points) Problem 1 (25 points) (a) Find 3 2r/ZO/ ___'§__ (-1+j) LI 2 (-1+j)2 : ‘3; :__i_ 1(-+j)2= 1(.+j)3 313.90 '(-1+j) = L (-1+j)3 i9: (b) For the following circuit: (ii) Find the injected or absorbed power by 2A independent current source. , - O ._ _. _‘:L_. Z 5; (B7 F.- U‘ l A \ — 3 'ﬂ /3 Injected i/‘Absorbed (d) A circuit is described by 2- 3 U" _ \ O' ____ 2/ (Si—f + 2y(t)= y(0) = 2 Ll 3 (i) What IS the zero input solution? (ii) What is the zero state solution? I Problem 2 (25 points) Analyze the following bridge circuit l 1 Z L‘—3.&—_,L 1“ ——-“ Z- .— 2 :e r “t 3 12— ?: A —'—»- Ll 3 ~ ‘13 . L _\ 3'? @T’ UT 2 g _3, ‘59 RT: (d) Draw and label Thevenin and Norton equivalent circuits between a and b. 11/3 We Problem 3 (25 points) Consider the following op-amp circuit. 0L 43> fin/4 __ G33 6’ -—_,_ ' '2 __ /I‘-tfi’ 6‘33 ” v0” ’ 5V i3=_ ”LA (#35 -* Ear 15K Wm, Egg/“(2&3 :— w: =13 ”am/1 @233 on v! : #5 v {’3 may, 3;;I&+I3 ; *JZMA (b) Ifyou connect RL = 5m betweena and b, what is vlL and i0? CW‘pim 09’; 4 5/41" MM] €188; IWQLﬁéa7L' 1;?1 . 0 ”CI ’ . ( MM,X< M-EV, Ale/7%» 046’; I3 (Amie, : F: 000 W/% 7%? kmﬂ!) Ian” :uEa-F—Z; .. L] . :fﬂa/i +1”? ~ EMA] Problem 4 (25 points) Consider the circuit below 30 9V0 9H The switch is open for a long time and the circuit is at the steady state. At t = 0, the switch is closed. ...
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