ECE 201 Spring 2009 Final Exam May 4 2009 Division 0101 Elliott 9 30am Division 0201 Capano 10 30 pm Division 0301 Jung 11 30 pm Division 0401 Capano 3 30 pm Instructions 1 DO NOT START UNTIL TOLD TO DO SO 2 Write your Name division professor and student ID PUID on your scantron sheet 3 This is a CLOSED BOOKS and CLOSED NOTES exam 4 There is only one correct answer to each question 5 Calculators are allowed but not necessary Please clear any formulas text or other information from your calculator memory prior to the exam 6 If extra paper is needed use back of test pages 7 Formulas are given on the final page of this exam 8 Cheating will not be tolerated Cheating in this exam will result in an F in the course 9 If you cannot solve a question be sure to look at the other ones and come back to it if time permits 10 As described in the course syllabus we must certify that every student who receives a passing grade in this course has satisfied each of the course outcomes On this exam you have the opportunity to satisfy all outcomes See the course syllabus for a complete description of each outcome On the chart below we list the criteria we use for determining whether you have satisfied these course outcomes You only need to satisfy the outcomes once during the course so any outcomes that you satisfied previously will remain satisfied independent of your performance on this exam Course Outcome i ii iii iv v vi vii viii ix Exam Questions 1 2 11 13 2 12 15 3 4 6 9 14 16 5 7 11 17 18 21 20 22 23 8 10 1 Minimum correct answers required to satisfy the course outcome 2 1 3 1 3 2 1 1 1 1 The current i1 t flowing through a wire is shown Determine the total charge q t conducted past a point along this wire Assuming q 0 0 which of the following plots best represents this charge 2 2 Find I1 for the circuit shown below Hint Draw a Gaussian surface on the circuit 1 0 05 A 2 0 05 A 3 0 1 A 4 0 1 A 5 0 15 A 6 0 15 A 7 0 2 A 8 0 2 A 3 Find the coefficients A and B where V x AIs BVs 1 A 0 5R B 0 25 2 A R B 0 25 3 A 2R B 0 25 4 A 0 5 B R 5 A 0 5R B 0 25 6 A 2R B 0 5 7 A 1 B 1 3 4 Choose the correct Norton equivalent circuit for the network 4 5 Find ic 0 in the circuit below in A 1 1 2 2 3 3 5 5 6 6 7 7 4 4 6 Find the time constant in s for the circuit below 1 0 1 2 0 2 3 0 3 5 0 5 6 0 6 7 0 7 4 0 4 5 7 Find vc t for t 0 in V assuming the switch was open for a long time when closed at t 0 Assume the capacitor was initially uncharged 1 6 6 1 t e 2t 2 6 2e 8t 8e 2t 3 6 6 1 t e 8t 4 6 8cos8t 6sin 8t e 2t 5 6 6 cos8t 8sin 8t e 2t 6 8e 2t 8e 2t 7 8 6 1 t e 2t 8 Find vout for the circuit shown below Assume the OP Amp is ideal and vc 0 0V 1 0 005sin 10t V 2 0 005sin 10t V 3 0 010sin 10t V 4 0 010sin 10t V 5 0 015sin 10t V 6 0 015sin 10t V 7 0 020sin 10t V 8 0 020sin 10t V 6 9 Find the Th venin equivalent seen at ports A B Assume the OP Amp is ideal 1 Veq 1V Req 200 2 Veq 1V Req 250 3 Veq 2V Req 200 4 Veq 2V Req 250 5 Veq 3V Req 200 6 Veq 3V Req 250 7 Veq 4V Req 200 8 Veq 4V Req 250 10 Find vout t at t 2s assuming vc 0 0V for the ideal op amp below 1 2 2 4 3 6 5 4 6 6 7 8 4 8 7 11 Find IR for the circuit shown below Assume sinusoidal steady state SSS and use 1000 rad s 1 2 45 A 4 2 2 45 A 2 2 60 A 3 5 2 2 60 A 2 75 A 6 2 2 75 A 7 2 2 90 12 Use KVL to determine the phasor voltage Vx in the circuit shown below 1 3 0 j V 2 3 5 j V 3 4 0 j V 5 3 5 j2 V 6 4 0 j2 V 7 4 5 j2 V 8 4 3 0 j2 V 13 In the circuit shown below determine the phasor Vout 1 40 j20 V 2 40 j20 V 3 20 j40 V 4 20 j40 V 5 10 j10 V 6 10 j10 V 7 40 V 14 Find the Th venin equivalent impedance Zth in 1 1 5 1 1 j2 2 1 1 j 6 j2 3 1 1 j 4 1 j 7 j 9 15 Determine the phasor voltage VA 1 5V 2 3 5 j10 5 V 3 2 5 j20 V 4 1 j10 V 5 13 7 j10 V 6 5 j5 V 7 5 j5 V 8 5 j5 V 16 Find the equivalent impedance ZEQ seen by the sinusoidal signal source Use 10 109 rad s 1 45 j40 2 45 j45 3 45 j50 5 55 j45 6 55 j50 7 55 j55 10 4 45 j55 17 For the circuit shown below the frequency response transfer function is defined as H j Vout Vin Choose the correct magnitude and phase plots of H j All phases are given in degrees 1 2 11 3 4 5 6 12 18 Determine the effective value of the current i t 3A cos 4t 4A sin 3t 1 25 A 2 3 A 3 4 A 4 5 A 5 6 A 6 6 2 A 7 25 2 A 8 5 2 A 9 6 2 A 19 Given the current through i t and voltage across v t a group of passive elements with impedance Z j find the instantaneous power in W at t 4 i t 2 cos 4t A v t 8 sin 4t 150 V 1 16 W 2 8 W 3 2 3W 4 4 W 5 0 6 4 W 7 2 3W 8 8 W 9 16 W 13 20 Suppose the phasor current and phasor voltage across a group of passive elements are V 3 75 V I 4 30 A where these magnitudes represent the amplitude of the phasor quantities i e not the effective value Find the average power absorbed by the …
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