ECE 201 Fall 2008 Exam 1 September 22 2008 Division 0101 Clark 7 30am Division 0201 Elliott 10 30 pm Division 0301 Capano 3 30 pm Division 0401 Qi 4 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 6 If extra paper is needed use back of test pages 7 Cheating will not be tolerated Cheating in this exam will result in an F in the course 8 If you cannot solve a question be sure to look at the other ones and come back to it if time permits 9 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 outcomes i ii and iii 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 Course Outcome Exam Questions Total Points Possible i ii 1 6 11 14 7 10 70 28 Minimum Points required to satisfy course outcome 35 14 If you fail to satisfy any of the course outcomes don t panic There will be more opportunities for you to do so 1 1 The current i t through an element is shown in the plot Determine the total charge that has passed through this element in the interval between t 0 and t 4s 1 0 C 2 1 C 3 1 C 5 2 C 6 3 C 7 3 C 4 2 C 2 Consider a circuit element shown below with two nodes A and B When a series of voltages VAB are applied the current IAB is listed in the following table What could this element be IAB A VAB Unknown element Applied voltage VAB 2V 0V 2 V Measured current IAB 1A 1A 1A B 3 2 resistor 1 2V voltage source 2 2 resistor 4 1A current source 5 None of the above 2 3 The current flow through the 5 resistor I and the power absorbed by the 1A current source P are 1 I 2A P 10 W 2 I 2A P 10 W 3 I 1A P 10 W 4 I 1A P 10 W 5 I 1A P 10 W 6 I 1A P 10 W 4 The equivalent resistance between nodes A B Req is 1 5 2 6 3 10 5 25 6 30 7 45 3 4 15 5 The voltage drop from node A to node B is 1 1V 2 2V 3 3V 4 4V 5 5V 6 6V 7 7V 8 8V 9 9V 10 10V 6 Find the output voltage Vout for the circuit below in V 1 cannot be determined 2 2 3 3 5 8 7 12 6 10 4 4 4 7 In the circuit below find nodal voltage VB when nodal voltage VA equals 16 V 1 1V 2 2V 3 3V 4 4V 5 8V 6 12V 7 16V 8 The following circuit consists of a floating voltage source and a current source Determine the node voltage Va 1 Va 0V 2 Va 1V 3 Va 2 V 4 Va 4 V 5 Va 3V 6 Va 5V 7 Va 6 V 8 Va 7 V 5 9 For the circuit shown with nodal voltages V1 V2 and V3 as labeled which of the following equations is correct The node at which each equation might be derived is given in parentheses 1 V1 V1 V2 5V 0 node 1 10 15 2 V1 V1 V3 5V 0 node 1 10 40 10 3 V1 V1 V2 5V 0 node 1 10 15 10 4 V2 V1 V2 V2 V3 0 node 2 15 50 25 5 V2 V1 V2 V3 0 node 2 15 25 6 V2 V1 Vx V2 V3 0 node 2 15 50 25 7 V3 V3 V2 V1 0 node 3 1 20 25 10 6 10 For the circuit shown with mesh currents I1 I2 and I3 as labeled which one of the following equations is correct The mesh at which each equation might be derived is given in parentheses 1 5V I1 I1 I2 25 I1 I3 15 0 mesh 1 2 5V I1 I1 I 2 25 I1 I3 15 0 mesh 1 3 I2 I1 25 I2 20 0 1A 0 mesh 2 4 I2 I1 25 I2 20 0 1A 0 5 I2 I1 25 I2 20 0 mesh 2 6 I2 I1 25 I2 20 VA 0 7 I2 I1 25 I2 20 VA 0 mesh 2 mesh 2 mesh 2 7 11 The constant g in the circuit below is 1 5 S Determine the equivalent resistance Req of the dependent source resistor combination in the circuit below 1 1 25 2 8 3 1 5 0 5 6 2 7 0 67 4 10 12 Find the current that flows through the 24 ohm resistor I24 in A 1 0 2 12 5 3 2 5 5 2 6 6 5 7 5 8 4 4 13 In the circuit shown determine VR 1 5V 2 5V 3 4V 5 1V 6 1V 7 0V 4 4V 14 In the following circuit the current of the VCCS Voltage Controlled Current Source depends on the voltage Vx across the diamond shaped Wheatstone Bridge The transconductance of the VCCS is 6S What is the gain Vout Vin of this amplifier 1 Vout Vin 1 2 Vout Vin 2 3 Vout Vin 3 4 Vout Vin 4 5 Vout Vin 5 6 Vout Vin 6 7 Vout Vin 7 8 Vout Vin 8 9
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