ECE 201 Spring 2008 Final Exam April 29 2008 Division 0101 Qi 7 30am Division 0201 Elliott 12 30 pm Division 0301 Capano 2 30 pm Division 0401 Jung 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 10 17 19 5 9 2 4 11 13 14 18 19 11 14 16 17 21 22 23 24 25 15 16 21 1 Minimum correct answers required to satisfy the course outcome 3 3 4 3 3 1 1 1 2 1 In the network shown below there is an element in each branch Find the current I Hint Gaussian surface 1 3A 5 1A 2 2A 6 2A 3 1A 7 3A 4 0A 1A 2A I 2A 3A 6A 2 For the circuit shown below find the output voltage VOUT 1 5V 5 25V 2 10V 6 30V 5k 3 15V 7 35V 10k 4 20V 8 40V 10k 5k 20mA 20V 10k 10k 2 VOUT 3 For the following network of resistors each of value R determine the equivalent resistance Req R 1 1 8 R 5 5 8 R 2 1 4R 6 3 4 R 3 3 8 R 7 7 8 R 4 1 2 R 8 R 4 The output voltage Vo can be expressed in terms of the values of the independent sources as follows Vo AV1 BI 2 For V1 20 V and I2 8 A Vo is in V 5 10 V1 1 1 5 18 I2 10 2 5 6 25 10 3 10 7 36 3 Vo 4 15 8 48 5 Which one of the following equations relating VA VB and VX is correct for the circuit shown 1 VA VA VB VX 0 30 20 5 2 VA V V 10V X B 10V 0 30 20 15 3 VB 10V VA VX 0 5A 0 15 5 20 4 VB 10V VX VX 0 5A 0 15 5 20 5 VA VA VB 0 5A 0 30 20 6 In the following circuit mesh currents I1 I2 and I3 are as labeled Which one of the following equations is correct for the circuit I 1 I1 10 10V A 0 2 I 2 I1 10 10V A 0 2 I 3 I1 10 10V A 0 2 4 I3 I1 20 15V I3 20 0 5 I1 10 10V I2 15 15V I3 I1 20 0 4 7 For the network shown below find Ieq A and Req using source transformation 1 Ieq 8 3 Req 4 4 Ieq 3 Req 4 7 Ieq 3 Req 8 2 Ieq 8 3 Req 3 5 Ieq 7 3 Req 3 3 Ieq 3 Req 3 6 Ieq 7 3 Req 4 8 For the following circuit determine the value Vth and Rth of the Th venin equivalent network 1 2 3 4 5 6 7 8 9 Vth R th 6V 6V 6V 7 5 V 7 5 V 7 5 V 8V 8V 8V 5 20 30 6 67 20 30 5 6 67 20 5 9 v1 3 3 v1 3 6 RTH Find the Th venin equivalent resistance RTH for the network above 1 1 2 0 3 1 4 2 5 3 6 5 7 6 8 9 6 10 The current i t onto a 1 F capacitor is shown below Determine the voltage vc t 7 11 For the network shown below find iL t for t 0 1 0 3 0 7e t 0 000001 mA 2 0 3 0 7e t 0 000001 mA 3 0 3 0 7e t 0 00001 mA 4 0 3 0 7e t 0 00001 mA 5 0 2 0 5e t 0 00005 mA 6 0 2 0 5e t 0 00005 mA 7 0 2 0 5e t 0 00005 mA 12 A t 0 B 10 A VC t 16 H 0 25 F After the switch turns from position A to B at t 0 what is the angular frequency of oscillation of the voltage Vc t 1 0 1 rad s 2 0 25 rad s 3 0 0625 rad s 5 2 rad s 6 4 rad s 7 10 rad s 8 4 0 5 rad s 13 In the following network the 10V source turns on and the switch opens at t 0 Determine v R 0 1 15 V 2 10 V 3 5 V 5 5 V 6 10 V 7 15 V 4 0 V 14 In the circuit shown in the previous problem Problem 13 determine v R 0 1 15 V 2 10 V 3 5 V 5 5 V 6 10 V 7 15 V 9 4 0 V 15 Find out t assuming ideal OP amp behavior 1 4cos t 5 8cos t 2 8cos t 6 12cos t 3 12cos t 7 0 4 4cos t 2 k 4 k 4 k IN t 2cos t V 2 k 1 k 1 k 10 16 In the following figure vs t 6u t 3u t What is vc t in V for t 0 Note We are not asking for vout in this problem 100 2F 150 50 1 2 6e t 100 4 t 4 12e 100 7 t 200 4 12e 2 2 6e t 200 5 t 2 6e 50 8 t 200 4 12e 3 4 12e t 100 6 4 12e 11 t 50 17 j3 V1 j V1 VS 1 0 A 6 Using KVL the phase voltage VS in Volts is 1 6 2j 2 6 2j 3 6 3j 4 6 3j 5 3 3j 6 3 3j 7 3 6j 8 3 6j 18 Find the sinusoidal steady state output voltage OUT …
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