Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.002 – Electronic CircuitsFall 2000Quiz 1• Please put your name in the space provided below, and circle the name of your recitationinstructor and the time of your recitation.• Please verify that there are six problems in your exam.• To the extent possible, do all of your work on the pages contained within this exam. Inparticular, try to do your work for each question within the boundaries of the question, or onthe back side of the page preceding the question. Extra pages are also available at the end ofyour exam.• You may use one double-sided page of notes while taking this exam.• Good luck!Name:Instructor: Senturia Wilson Parker Hagelstein SussmanTime: 9 10 10 11 11 12 12 2 3Problem 1 – 15 PointsUsing the SR MOSFET model with the circuit parameters shown in the figure, plot vOversus vINfor 0 ≤ vIN≤ 5V . Clearly mark the values of vINand vOat each point in the graph where thereis a change of slope.+−R2=1kνΙΝνOVS =5VR1=1kRL=10kRON=1kVT =1VνΙΝνO543210 1 2 3 4 5Problem 2 – 15 PointsUsing the node method, develop a set of simultaneous equations for the network shown in the figurethat can be used to solve for the unknown node voltages. Express these equations in the formGe = Swhere G is the conductance matrix, e is a vector of unknown node voltages, and S is a vectorinvolving the sources.+−+-AO16 824 VOProblem 3 – 20 PointsTwo networks A and B composed only of resistors and sources are connected together as shownbelow,+ - νA Biand the voltage and current indicated are found to be v = 1V, i = 0mA. When the connectionis reversed, as shown below,+ - νiA Bthe voltage and current become v = 0.5V, i = 0.5mA. Determine the Thevenin equivalentnetworks for the networks A and B.Problem 4 – 15 PointsYikes Inc. announces that it has discovered an AND gate built of resistors alone as shown below.A and B are the inputs, and C is the output. They claim that their AND-gate circuit satisfies thestatic discipline for the following voltage thresholds:VOH= 5V , VOL= 3V , VIH= 4.5V , and VIL= 3.5V .A competitor looking for an expert with a 6.002 background hires you as a consultant todetermine whether their claim is true. Find a set of valid inputs for which the circuit produces aninvalid output, clearly explaining why the output is invalid, or show that no such case exists.ABCRRProblem 5 – 20 Points(A) Assuming that the circuit shown below satisfies the static discipline, determine the logicalvalues of W , X, Y and Z given that the inputs are set as follows: A=1, B=0, C=0, D=1, E=0,F=1, G=0.AB C D E F GZRLRLRLRLVS=5VVSVSVSVSWXY(B) Using the SR model for the MOSFETs with on resistance RON, determine the lowest voltagepossible at Z.Problem 6 – 15 PointsLois Bass is hooking up her hifi system. Her amplifier can pump 100 Watts of instantaneous powerinto a 4 Ohm speaker. From the point of view of the speaker, the amplifier can be modeled as aThevenin source with an internal resistance of 0.1 Ohm.(A) What is the maximum open-circuit voltage that the amplifier can deliver?(B) Lois buys a roll of #16AWG speaker wire at Radio Hack. She needs to run 25 feet of wire (50feet round trip) to the speaker from her amplifier. The resistance of #16AWG copper wire is about4 Ohms per 1000 feet. If Lois uses the wire she bought to connect the amplifier to the speaker,then when her amplifier is putting out 1 Volt at the amplifier terminals, what is the voltage at thespeaker
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