ELG2138A-Final-Exam2017-ver1_merged.pdf - Université d’Ottawa University of Ottawa Faculté de Génie ÉSIGE Faculty of Engineering EECS University

ELG2138A-Final-Exam2017-ver1_merged.pdf - Université...

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Unformatted text preview: Université d’Ottawa University of Ottawa Faculté de Génie ÉSIGE Faculty of Engineering EECS University of Ottawa Student Name (Please print)______________________________________________ Fall – December 15, 2017 Student Number____________________________________ Section:_______ ELG2138A - Final Exam ITI1100 Digital Systems I 180 minutes Final Examination Prof. Ahmed Karmouch, Prof. Rami Abielmona, Prof. Fadi Malek Date: April 20, 2015 Time: 3 hours (14:00-17:00) Student Name: Instructions: • • • • Answer ALL questions. This final examination will last 180 minutes and has 5 main questions and 23 pages. This is a closed-book examination. Use the provided space to answer the following questions. If more space is needed, use the back of the page. Question Points State any assumptions and acronyms that areScore utilized in your answers. I Write your name and QUESTION student number as20well as your answers on this examination handout on QUESTION II 20 Show all your calculations to obtain full marks. QUESTION III 20 Calculators are NOTQUESTION allowed. IV 20 Read all the questionsQUESTION carefully before you V 10 start. Student Number: • • • • • QUESTION VI 10 Total: 100 (The following space is reserved for the professor) Question 1 2 3 4 Points Percentage 20% 30% PLEADE READ the 15% instuctions on the back of this page. 20% ELG2138A - Page 2 of 16- General Instructions • Answer all questions in this section using the answer booklet(s) provided. Answers are expected to be succinct but complete. • Your answers should be very clear and concise. Unintelligible answers will not be marked • You must adhere to the specific instructions given next to the questions, where applicable. • In the situations where your solution requires concrete steps to calculate some numerical answer, you must show the steps you used indicating clearly how you proceeded to calculate the answer to the question. • The examination booklet includes lined paper sheets. The lines on those sheets are intended to guide you in writing and developing your answers in an organized manner. • The space provided next to each question is generally more than sufficient for you to write the correct answer. However, if you needed more space, you can use the extra pages at the end of the exam. • You can use the back of the page only if it is lined up with dotted lines. Analysis on non-lined pages will not be marked. • Questions during the exam are generally not allowed. However, you may ask questions only if you have any of the following specific concerns, – perceived error or missing information in a question – a missing paper from the booklet, If you must ask a question arising from the above concerns, then you must formulate your question so that an answer with Yes or No is sufficient to address your concern. Do not expect any further detailed answer. If the answer to your question is Yes, it would mean that you have legitimate point in your concern, in which case the professor will have to address, for your particular case, and perhaps for the rest of the students. Any other questions during the exams are strictly prohibited. • No answers on the formula sheet will be marked. • Crossed out answers will not be marked. • This exam is identical to the French Exam ELG2538 December 15, 2017 ELG2138A - Page 3 of 16- December 15, 2017 QUESTION I. (20 points) Maximum Power Transfer Theorem The circuit in Figure 1 contains a variable resistance, R, implemented using a potentiometer. The resistance of the variable resistor varies over the range 0 ď R ď 1000Ω. The variable resistor can safely receive 1/4 W power. Determine the maximum power received by the variable resistor. Is the circuit safe? Figure 1: QUESTION I. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... You can continue the analysis steps on the back of this page . . . ELG2138A - Page 4 of 16- December 15, 2017 ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... QUESTION II. (20 points) Inital conditions in circuits with energy storage elements The circuit shown in Figure 2 is at steady-state when the switch closes at time t “ 0. Determine v p0 i p0 q. v p0 q, i p0 q, and ELG2138A - Page 5 of 16- 1 1 ` 2 ´ 2 December 15, 2017 ´ q, ` Figure 2: QUESTION II. ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... You can continue the analysis steps on the back of this page . . . ELG2138A - Page 6 of 16- December 15, 2017 ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ELG2138A - Page 7 of 16- December 15, 2017 QUESTION III. (20 points) The Complete Response of RL and RC circuits. the switch opens at time t “ 0. Determine vptq The circuit shown in Figure 3 is at steady-state when for t ě 0. Figure 3: QUESTION III. ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ...................................................................................................... ..........................................................................
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