Exam 1 with Solution - Fall 2005

Exam 1 with Solution - Fall 2005 - ECE 210/211 Analog...

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Unformatted text preview: ECE 210/211 Analog Signal Processing Fall 2005 University of Illinois Allen, Basar, Kudeki Exam 1 Thursday, September 29, 2005 —— 7:00-8:15 PM Section: 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 Problem3 Problem4 Problem 1 (25 points) a) (3 pts.) Mark the locations of the complex numbers given below on the complex plane. Im Re Zl=O—j1 Z2 = 1 460° b) (6 pts. ) In the following circuit, what is the value of i? 1:6M)_fi..;’flfl/ T1 // 4Q 29 \ o CJJ‘wf'wflm‘t V - ,4 i 3/1 \l ° r \ WW :3 WWW: ‘V/// V: W d) (6 pts. ) For the following circuit, find R such that the maximum power is dissipated in R. A U" 351 29 39 a W1 , <5 (/2 8} 4V 1: <éwrro VvU’tSrC' / SKIP, Mn Srt o e) (4ptS.) Sketch f(t) = (2 — 4) 6“”2 + 4 for 2 < t < 12. 2 4 6 810121416 2 Problem 2 (25 points) a) (15pts.) Consider the following ideal op-amp circuit. :2) V3: [2-334 V/// b) (10pts.) In the following ideal op-amp circuit, sketch vo(t), t > 0. Problem 3 (25 points) Consider the following circuit. a) (10 pts.) Determine the The’venin voltage VT of the network to the right of terminals a and b. Wwe K01,— wii'k 4'30 iffiiro :7 \/‘(+J~:O ;) V‘s—ell \I/fl L L Z- r—l V VT — z b) (10 pts.) Repeat a) for Thévenin resistance RT. UK ’i’u‘l 3K. Wtw @9444 {Lapin-3 1m H] (H : c) (5 pts.) Determine the Thévenin resistance RT of the network to the left, looking into terminals c and d. ..——-o L ’2'? ‘ ZIIMJL A Problem 4 (25 points) a) (15 pts.) Consider the circuit below. i) Find v(o—) im) = 0 at t = ~1 s. V(ah) +4 = 0 =7 VCJC)=*L\V w”:- = _.L+v )TVL Maxim ’F—mg 's' m , O ‘ _ minko 9” léh<o ii) Find V(O+). = — Hv my), v (0") (mm. CM. vowfic >——e V<0+> —-——— (Mud (hwy, .‘nsmtamémslfl iii) Find V(oo). 4. (t): v (a I Ln. = O \/ ho may“ 11» _ V0”) —— awe; z, vmao 4/ 0/! 't ’5 00 iv) What is the time constant I (tau) for t > 0 of this circuit? 7. 4 gum M (wracihfl z :7 i}, '15 (waded +0 I» (Luff 17= 5 J. E Wm IJ‘L M. ruisl-m 07/ E , £70 ’C:n c :(l/LXZF):’Z; v) What is V(t),t>0. t/ Z; __ fi 2 - i/t/ . v<t)=_.li._ Vm ; vm—vm e we») W) W") \-/iN ._ L4 0 o Problem 4 (continued) b) (10 pts.) Consider the following circuit. 2 n. Vr "t n, l/é Vr,’ A '2’ L l, E T :H’UM i) What is the time constant 1: (tau) of this circuit? :7 J1 é 7/F /7 {21:151. “me risk? MG‘M) ii) Write the O.D.E. that governs v(t) shown in the circuit. Ufinb 11a. 1MLVV‘H @{V or 1%; CU M Copacflnfl i5 CWM-eC/Ted +17: mam zakvw ~ . , ‘ affoUv‘t V»:9,.2,,c4.)»+v(+\ , ntt) Help L. ~ ‘(0 .r VCU') __ 4 WV ( ., 0W Jr ,L.V(Hw \ V; > T I it + v t) D It, 5 WM“... M 0' * mm- oo. 9. “NJ mg VH3 ik OLA-7t": ...
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Exam 1 with Solution - Fall 2005 - ECE 210/211 Analog...

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