Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6 002 Circuits Electronics Spring 2004 Quiz 1 24 February 2004 Name Instructor Time Kassakian 10 Kassakian 11 Wilson 12 Berggren 1 Berggren 2 Please put your name in the space provided above and circle the name of your recitation instructor together with the time of your recitation Do your work for each question within the boundaries of the question When nished write your answer to each question in the corresponding answer box that follows the question This is a closed book quiz but calculators are allowed Graded quizzes will be returned in recitation on Friday February 27 If you do not attend recitation on that day then it is your responsibility to get your quiz from your recitation instructor You will have until recitation on Friday March 12 to request a quiz grading review regardless of whether or not you attend recitation on Friday February 27 and take back your quiz If you wish to have your quiz grade reviewed you must return your quiz to your recitation instructor within the two week period together with a written explanation of why you think a grading mistake was made This is the only way in which a quiz grade will be reviewed Good luck Problem 1 Problem 2 Problem 3 Problem 4 Total Grade Problem 1 40 This problem involves a network that is implemented with three resistors and a voltage source as shown below Its terminal characteristics are also given graphically below Network 2R VS 1A R 2R i i v v 3V 1 5 mA From the graphical data given above determine numerical values for the parameters of the Thevenin equivalent of the network VTH RTH 1B Determine numerical values for the parameters VS and R that characterize the implementation of the network shown above VS R 1C The network is connected to an external current source and resistor as shown below Determine the value of its terminal voltage v given the external connection Network v v 4 k 3 mA 1D A load resistor is connected across the terminals of the network Determine the value of load resistance that will result in the maximum power dissipated in the load resistor Also determine the maximized load power Load Resistance Load Power Problem 2 20 Determine the current i in the network below 3A 3 6V 4 1 4 i i 4A Problem 3 10 The network shown below has two nodes with unknown node voltages e1 and e2 Carry out a node analysis and determine two node equations that can be used to determine e1 and e2 You need not solve the equations I Eqn 1 Eqn 2 R3 R2 e1 R1 V1 R4 e2 R5 R6 V2 Problem 4 30 A nonlinear resistor having terminal voltage vNR and terminal current iNR is connected to an external network as shown below The terminal characteristics of the nonlinear resistor are also given graphically below Note carefully the scales of the graph volts and milliamps and the location of its origin R iNR vNR Nonlinear Resistor V 2 1 5 0 5 i NR mA 1 0 0 5 1 1 0 5 0 0 5 1 vNR V 1 5 2 2 5 3 4A Assume that V 2 V and R 4 k in the external network Using the graphical terminal characteristics of the nonlinear resistor determine vNR and iNR Hint draw a load line for the external network on the graph given above vNR 4B iNR Assume now that V 2 0 1 sin t V and R 4 k in the external network In this case vNR will be given approximately by vNR A B sin t Using the terminal characteristics of the nonlinear resistor determine A and B A B Extra copy of the figure for Problem 4 2 1 5 0 5 i NR mA 1 0 0 5 1 1 0 5 0 0 5 1 v NR 1 5 V 2 2 5 3
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