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ECE 201 Spring 2010 Final Exam May 7 2010 Division 0101 Prof Capano 9 30am Division 0201 Prof Tan 10 30 am Division 0301 Prof Jung 7 30 am Division 0401 Prof Capano 11 30am 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 Problem 1 is worth 5 points Problem 2 is worth 6 points and the rest of the problems are worth 9 points each 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 3 4 5 6 7 8 11 12 13 14 16 15 17 18 19 20 21 22 23 9 10 Page 1 Minimum correct answers required to satisfy the course outcome 1 1 1 1 2 1 2 1 1 1 5pts The current IR in the circuit below is 1 10A 2 10A 5 1A 6 1A 3 100A 4 100A 2 6 pts If the transconductance gm equals 0 002 S find the current Is 1 1A 2 2mA 3 2A 5 8mA 6 4A 7 0 Page 2 4 4mA 3 9 pts Find the power delivered by the dependent source in W using nodal or mesh analysis 1 10 2 20 3 30 5 50 6 60 7 70 4 40 4 9 pts Using source transformation find the power delivered to the 12 resistor in W 1 1 2 12 3 0 75 5 0 5 6 0 0625 7 24 Page 3 4 48 5 9 pts The Thevenin equivalent of the circuit below is 1 a single 6 resistor 2 a short circuit 3 an open circuit 4 a single 6 A independent source 5 a single 6 V independent source 6 9 pts In the circuit below the switch has been at the top position for a long time It is suddenly opened at t 4 sec The voltage vc t across the capacitor for t 4 sec is in V 1 5e 100 t 4 5 5e 100 t 4 2 1 t 4 10e 3 3 5e 6 5e 3 t 4 Page 4 t 4 4 1 t 4 10e 3 7 9 pts Find R in for the capacitor voltage vc t for t 0 to be critically damped 1 20 3 2 2 5 3 3 20 5 5 6 4 7 1 25 4 0 4 8 9 pts The circuit below has initial conditions iL 0 8 A and vC 0 20 V Find the value of in V s dvc 0 dt 1 12 2 4 3 92 5 108 6 92 7 0 Page 5 4 8 9 9 pts If the input voltage Vs1 10V and the input voltage Vs2 5V then Vout is in V 1 20 2 15 5 0 6 15 3 10 4 5 10 9 pts In the ideal op amp circuit Vs t 1u t V and vc 0 1V Find vout t in V 1 1 u t 2 2 u t 3 t u t 5 2t u t 1 6 2t u t 1 7 1 2t u t Page 6 4 2t u t 11 9 pts Determine the frequency in rad s for which the input impedance Zin j is purely resistive 1 10 000 2 100 000 3 1 000 000 5 3160 6 31600 7 25 4 316 12 9 pts Find Vout 1 3 5 7 2 4 6 50 0 V 100 0 V 150 0 V 200 0 V Page 7 50 90 V 100 90 V 150 90 V 13 9 pts For the following circuit determine the value Vth and Zth of the Thevenin equivalent network 1 2 3 4 5 6 7 Vth 60 0 60 0 60 90 90 0 90 0 90 90 110 0 Zth j1 j9 j1 j9 j9 j1 j9 Page 8 14 9 pts Consider the following circuit Iin and Vout are the phasor representations of input current and output voltage respectively The input Iin is a sinusoidal signal of frequency Which of the following graphs is a correct sketch of Vout Iin vs in steady state 2 1 0 8 H 1 0 0 1 10 10 0 8 0 0 1 1 7 8 4 1 H 0 4 0 0 1 10 0 8 1 1 6 H 0 8 H 0 0 1 10 5 0 9 0 7 0 1 1 0 4 1 H H 0 2 4 0 8 0 6 H 0 4 0 4 0 0 1 3 0 8 10 Page 9 10 0 4 0 0 1 1 10 15 9 pts The circuit below is in sinusoidal steady state The average power absorbed by the capacitor is in mW 1 0 2 20 3 50 5 200 6 500 7 1000 4 100 16 9 pts The current phasors in the circuit below are expressed in effective i e root meansquare value The value of the impedance Z is in 1 6 j3 2 6 j3 5 25 6 j20 3 10 j20 Page 10 4 10 j20 17 9 pts The load shown below consists of one resistor and one capacitor Using the voltage and current waveforms shown below compute the average power absorbed by the resistor in the load Assume 2 rad sec 4 2 t i t 0 2 4 0 0 125 0 25 0 5 0 375 0 625 0 75 0 875 1 1 125 1 25 1 375 1 5 t 1 2W 3 2 2 W 2 4W 4 4 2 W 5 2 j2 VA 6 2 j2 VA 7 4 j2 VA 8 4 j2 VA Page 11 1 625 1 75 1 875 2 18 9 pts Find the complex power delivered to the load ZL Assume IS 30 0 A rms 1 …


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