10Fall_Exam1 - 1 a jb where a and b are real constants 1 a...

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ECE210/211 University of Illinois at Urbana-Champaign Analog Signal Processing Fall 2010 Allen, Jones, Levinson Exam 1 Thursday, September 23, 2010 - 7:00-8:15 P.M. Name: NetID: Section:(circle one) 9AM 10AM 1PM Class: (circle one) ECE 210 ECE 211 Please clearly PRINT your name and NetID IN CAPITAL LETTERS and circle your section in the boxes above. This is a closed book and closed notes exam. A ONE-page hand-written crib sheet will be allowed. Calculators are not allowed. For full credit, show your work. Backs of exam 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) ________________
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1. Problem 1 (25 points) This problems are intended to be quick and easy: (a) (5 pt) Express the real-valued function, and then graph between t h - 2 π 3 , 2 π 3 i using apropriate tick marks and tags in the t and y axis. y ( t ) = Re { je j 3 t } y ( t ) = y ( t ) t 2 π 3 - 2 π 3 (b) (5 pt) Find the magnitude of
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Unformatted text preview: 1 a + jb , where a and b are real constants. 1 a + jb = (c) (5 pt) Find | j | , | e | , | e j | . | j | = | e | = | e j | = (d) (10 pt) Reduce the following circuit to its Thevenin Equivalent, that is nd V T , R T . 3 A 2 +-4 4 1 2 2 4 V V T = R T = 2. Problem 2 (25 points) (a) (10pt) Find v 1 , v 2 , v 3 . 3 6 A 2 4 +-v 1 v 2 v 3 3 V v 1 = v 2 = v 3 = (b) (15pt) Find the Thevenin Equivalent Circuit. 1 A 2 1 2 i 2 i 2 3. Problem 3 (25 points) (a) (19 pt) Analyze the following circuit and nd v /v s . Use the ideal op-amp approxima-tions. v s ( t ) v o ( t ) +-R 2 R R L v v s = (b) Find the power absorbed/supplied in R L if i. (2pt) R L = 3 p = ii. (2pt) R L = 0 p = iii. (2pt) R L = p = 4. Problem 4 (25 points) The switch was open for a long time, and the circuit was in steady state. At t = 0 , the switch is closed. Find v C ( t ) 3 3 F 1 A 6 t = 0 v C ( t ) v C ( t ) =...
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This note was uploaded on 04/04/2012 for the course ECE 210 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

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10Fall_Exam1 - 1 a jb where a and b are real constants 1 a...

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