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09F_210Exam1_solns (1)

# 09F_210Exam1_solns (1) - ECE 210/211 Analog Signal...

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Unformatted text preview: ECE 210/211 Analog Signal Processing Fall 2009 University of Illinois , Allen, Basar, Trick Exam 1 Thursday, September 24, 2009 — 7:00-8:15 PM 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) M W " 'Préblem‘rK--—-—-- (a) A complex number Z is given as: [9, (02:3? ﬁnd [2]: '3 42: 435" 0/1225” (ii)Z=\/§ej%(1+j) ﬁnd |z|= at 42: 450+V\$0:90° (b) Find the Thevenin equivalent circuit (RT,VT) for each of the circuits below. (i) on p 71 3Q IQ (iii) In (i) is the 10V source absorbing energy or supplying energy? Cirlce one and explain. Problem 2 (a) Use the loop method to ﬁnd the current is. Assume that vs,Ri,Rf, and gm are known. (b) Use the node method to ﬁnd vo as a function of the independent 6/ sources vS and i0. At terminals / ‘ a—b what is the equivalent resistance and the open circuit voltage. Problem 3 (a) Consider the circuit below: Find the output V0 in terms of the input vs. Capacitor is not initially charged. ﬁzOVa/uiao 1):. ’I‘COV \$1 ~0V ” f U; 0V: 1 1f:—:2U— [0552 .2th O > D S (b) In the following ideal op-amp circuit sketch vo (t) . Label axes carefully. Inductor is not initially charged. 4R4” 55.;0 v00) Problem 4 In the following circuit, the switch is open for a long time, at the time t = o , the switch is closed. 12A 10V (a) Find v(o-) and i(o—). ‘ L 0‘) :0/4 W m- ( v v(o-)= /ov U(0—)~:/0Y: raven lo i(o_)= i (b) Find v(o+) and i(o+). v(o+)= /0 V (c) What is the time constant tau (’1?) for the system t>o ? Q” : : lexlf: : ﬁ/S [61 [IL [27 :2D~°—_ __ MS I: i; (d) Find v(t),t>o. U’Q) : {2 6 + V“ 53 "A +I2V— 6—1775 +21\/ 13W? v(o+):/[)V M é :"lalv -2945 v(t)= ~12 e + 22v ...
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09F_210Exam1_solns (1) - ECE 210/211 Analog Signal...

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