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Unformatted text preview: EE202 FINAL May 5, 2006 Name: __________________________________ (Please print clearly) Student ID: _________________ CIRCLE YOUR DIVISION DeCarlo 2:30 MWFFurgason 3:30 MWFINSTRUCTIONS There are 28 multiple choice worth 6 points each and there is 1 workout problem worth 12 points. This is a closed book, closed notes exam. No scrap paper or calculators are permitted. A transform table will be handed out separately. Carefully mark your multiple choice answers on the scantron form. Work on multiple choice problems and marked answers in the test booklet will not be graded. Nothing is to be on the seat beside you. When the exam ends, all writing is to stop. This is not negotiable. No writing while turning in the exam/scantron or risk an F in the exam. All students are expected to abide by the customary ethical standards of the university, i.e., your answers must reflect only your own knowledge and reasoning ability. As a reminder, at the very minimum, cheating will result in a zero on the exam and possibly an F in the course.Communicating with any of your classmates, in any language, by any means, for any reason, at any time between the official start of the exam and the official end of the exam is grounds for immediate ejection from the exam site and loss of all credit for this exercise. Do not open, begin, or peek inside this exam until you are instructed to do soEE202, Ex 1 Sp 06 page 2 MULTIPLE CHOICE. 1.Determine the Laplace transform,Lf(t){ }, of f(t)=ddt3!2e!2t+e!t"#$%u(t){ }where u(t)is the unit step function. (1)3s!2s+1+1s+2(2)3s+1s+1!2s+2(3)4s+1!1s+2(4)3!2ss+1+ss+2(5)3+4ss+2!ss+1(6)4s+2!1s+1(7)3+ss+1!2ss+2(8) None of these ANSWER : (7) 2. If two signals x(t)and y(t)are related by the equations dx(t)dt+2y(t)=4!(t)and 2x(t)!y(z)dz!t"=2u(t), where x(0!)=2, u(t)is the unit step function, and !(t)is the Dirac delta function, then X(s)is: (1)10s(2)2s(3)85(4)1.2s(5)8s(6)1.6s(7) 65(8)None of these ANSWER 2:sX(s)!2+2Y(s)=4"sX(s)+2Y(s)=6, 2X(s)!Y(s)s=2s"4sX(s)!2Y(s)=4Therefore, 5sX(s)=10!X(s)=2sEE202, Ex 1 Sp 06 page 2 MULTIPLE CHOICE. 1.Determine the Laplace transform,Lf(t){ }, of f(t)=ddt3!2e!2t+e!t"#$%u(t){ }where u(t)is the unit step function. (1)3s!2s+1+1s+2(2)3s+1s+1!2s+2(3)4s+1!1s+2(4)3!2ss+1+ss+2(5)3+4ss+2!ss+1(6)4s+2!1s+1(7)3+ss+1!2ss+2(8) None of these ANSWER : (7) 2. If two signals x(t)and y(t)are related by the equations dx(t)dt+2y(t)=4!(t)and 2x(t)!y(z)dz!t"=2u(t), where x(0!)=2, u(t)is the unit step function, and !(t)is the Dirac delta function, then X(s)is: (1)10s(2)2s(3)85(4)1.2s(5)8s(6)1.6s(7) 65(8)None of these ANSWER 2:sX(s)!2+2Y(s)=4"sX(s)+2Y(s)=6, 2X(s)!Y(s)s=2s"4sX(s)!2Y(s)=4Therefore, 5sX(s)=10!X(s)=2s. EE202, Ex 1 Sp 06 page 3 3.The impedance, Zin, of the circuit shown below is, in ohms: (1)2+2s+2s(2)2+2s+2as(3)2+2s+2!as(4)2+2s+2+as(5)2+2s+2+2as(6)2+2s+2!2as(7)2+2s+2a!2s(8)None of these ANSWER 3: (6) Vin(s)=(2+2s)IR(s)+2s(IR(s)!aIR(s))=2+2s+2!2as"#$%&IR(s)4. The value of C for which the transfer function for the op amp circuit below is...
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 Spring '06

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