11Fall_Exam1_solns - ECE 210/211 Analog Signal Processing...

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Unformatted text preview: ECE 210/211 Analog Signal Processing Fall 2011 University of Illinois Basar, Franke, Peck, Trick Exam 1 Tuesday, Sept. 20, 201 l - 7:00—8:l5 PM Name: /LC {[0743 Section: . 9 AM 10 AM 1 PM 2 PM (crrcle one) Class: (circle one) ECE210 ECE2ll 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 I (25 points) Problem 2 (25 points) Problem 3 (25 points) Problem 4 (25 points) Total (100 points) Problem 1 (25 points) (a) In the following circuit, find the load resistor RL which will absorb maximum power. 2Q 2i . . ’ V/ W Ftnd~ [thveJéKE‘i/l — {- Li, 10V 252 RL “We 7. .2: +25 Hath—curb ,40 2: ' % 21,- t : 251L£+Z{) : q/g Li- M (b) Find Re between a and b. a 29 ‘31» 2Q 29 b 0- ’\/\/\x 29 (c) Find i in the following circuit. i 1425) (d) In the circuit below, the maximum power delivered on RL is g 1% g 2Q IQ . ’\/\/\r JVW ck (W3W7,Qfi 29 1A RL % W“ 0 6M0 (9 n N Problem 2 (25 points) (a) In the following circuit, using the principle of linearity and superposition, we can write the node voltage V as v = Av,+ BI,+ CI2 Use source suppression to find the constants A, B, and C. v, 21.:0 VGI 25L 231 V {2 L’ . : II; VG) : (f 42/13 .257- .40 C :‘(SL A: V7. _, 'I B: , /_n, w A (21: 19 = I: V: (“/2 v’ %\ C: «ISL 40 [3:]5?’ (b) In the following circuits, find the open circuit votage Vab and the short circuit current lsc between a and b. 4V Q 3 2ix 29 1% % i) A& Q . 0514‘ _‘= 3V ($-13 ' ’ 3V 5 I‘dlvalocg % Problem 3 (25 points) For the op amp configuration shown, determine the requested quantities. Assume linear regime (ideal op-amp) operation. (a) 11 :JLmA (b) In terms of labeled voltages V01 and/or V02, write the mathematical expression for current 12. Draw a box around the equation you wish to be graded. v -_ ‘ @437. ,7' _ —‘J.;1 I; .__————d 54/. 37, (c) In terms oflabeled voltages V0] and/or V02, write the mathematical expression for current [3. Draw a box around the equation you wish to be graded. (d) Using the results of(b) and (c), write the mathematical expression for ll in terms oflabeled voltages V0. and/or V02. You do not need to simplify your equation. Draw a box around the equation you wish to be graded. I h - —' -———’/ J'I ' “’— fl‘n jS'Oé-YL (e) In terms oflabeled voltages V01 and/0r V02, write the mathematical expression for current Draw a box around the equation you wish to be graded. (1) Using the output circuit attached to the right—most op amp, write a second equation relating labeled voltages V0. and V02. You do not need to simplify your equation. Draw a box around the equation you wish to be graded. Problem 4 (25 points) The given circuit is in the steady state for t < 0. . t 0 (flag) (a) Fmd X >ic ic(0') = r 109% L + U *4 159 _— 2A . 0.1F__vc(t) vc(0‘)= 5V WC) i ’ ic(0+)= " 7/3 A vc(0+) = 5' \/ (53925.) (C) For t > 0 the time constant é QT __QmX/fl) ‘ (0+): "Vzfl [$31 MU). /05L+15>1 r S -—\, _ Q16? ___.__. —. 6,51 .40 ( : @n)@. IF) ((9 03%;) (d) Find the steady state values of ic(t) and vc (t) when the switch is closed. I Ta, :5 ‘3 (5)4 1' _. 3 2/} 4K 4,4 (05‘— Vc,ss‘ 6’52 ("3/4) I l = «- W/ (e) Below sketch ic(t) and vc(t) in the range t 6 (0,00) . Label numerical values on the axes. (M9) 100) vc<t> ...
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11Fall_Exam1_solns - ECE 210/211 Analog Signal Processing...

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