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Fall07_Exam1soln

# Fall07_Exam1soln - ECE 210/211 University of IllinOis...

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Unformatted text preview: ECE 210/211 University of IllinOis Analog Signal Processing Exam 1 Fall 2007 Levinson, Sarwate, Kudeki Thursday, September 20, 2007 — 7:00-8:15 PM Name: Section: circle one Class: circle one ECE 210 ECE 211 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) é a g a? 3. s «3 v Problem 1 (25 points) 1A a) [6 pts. ] Detennine VS and ix. ’3} Vs 2V b) [4 pts.] Determine ix. 1A legwoi‘rﬁq‘ C414)??? : 3A Gav c) [4 pts.] Determine Vx. \®+ I < Problem 1 (continued) (I) [6 pts. ] Determine Vy and the power delivered by the controlled source. V 22v ha VoHufe OUJIJx'ck [a r, M L: J 0;: “4*! :24! MP 6 [email protected])(2A)=‘gw, &’ v e) [5 pts.] Is the following statement true or false? Justify your answer. [r(cos 6+ 3' sin EDT 2 rI1 (cos (n6) + j sin (119)) Circle one: ﬁ ' 'ustiﬁcation ULHUZ/{l/j Eula—4: warn Kl} {—wH/a . Problem 2 (25 points) a) [10 pts.] Consider the following resistor network which consists of an inﬁnite number of identical sections of RS and Rp extending to the right as shown. RS RS RS Req i) What is Req 1pr = 0? Casi/imam K W ii) What is R“,q 1pr = 00? @Mﬁ gum )‘Afo: ' lZs V Problem 2 (continued) b)[15pts.] iii) Write one additional KVL equation for the circuit in terms of i1, i2, and i3, which makes it possible to solve for these variables. You are not required to solve the system. Problem 3 (25 points) a) [IOptsJ Determine the gain V0/Vs of the following op-amp circuit in linear operation: Problem 3 (continued) ‘ i i) [10 pts.] Determine the Thevenin voltage VT and the Thevenin resistance RT of the network between terminals a and b. Problem 4 (25 points) In the circuit above the switch opens at t = 0. Prior to that, the switch has been in a Closed state indeﬁnitely. Determine a) [3PtS-Jiy(0_) = I M. %WL~+ aid. i4 fwddwwe M Cap“; tw if Cu» e,@@oﬁve W. b) [3pts.]Vx(0—) : ‘ i a : C) [3 pts-l iy(0+) = O d) [3pts.]Vx(0+) : 1 Vﬂ qua, \/K (0+) :VXCo") e) [Spts.]vX(oo) = 4 V m = ~36 +4 \I/ ww~ (on! Fl g) [5pts.]ix(1) S COi/VK :1 ’3 éﬁl/q; 3 Obi: :i — L'i’ if. ' a MQQ b 6:”: H— Jo>0 ...
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Fall07_Exam1soln - ECE 210/211 University of IllinOis...

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