Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6 002 Electronic Circuits Fall 2000 Quiz 1 Please put your name in the space provided below and circle the name of your recitation instructor 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 In particular try to do your work for each question within the boundaries of the question or on the back side of the page preceding the question Extra pages are also available at the end of your exam You may use one double sided page of notes while taking this exam Good luck Name Instructor Time Senturia 9 10 Wilson 10 11 Parker 11 12 Hagelstein 12 Sussman 2 3 Problem 1 15 Points Using the SR MOSFET model with the circuit parameters shown in the figure plot vO versus vIN for 0 vIN 5V Clearly mark the values of vIN and vO at each point in the graph where there is a change of slope VS 5V RL 10k O R1 1k VT 1V R2 1k RON 1k O 5 4 3 2 1 0 1 2 3 4 5 Problem 2 15 Points Using the node method develop a set of simultaneous equations for the network shown in the figure that can be used to solve for the unknown node voltages Express these equations in the form Ge S where G is the conductance matrix e is a vector of unknown node voltages and S is a vector involving the sources 1 2 AO 6 8 4 VO Problem 3 20 Points Two networks A and B composed only of resistors and sources are connected together as shown below A i B and the voltage and current indicated are found to be v 1V i 0mA When the connection is reversed as shown below A i the voltage and current become v 0 5V networks for the networks A and B B i 0 5mA Determine the Thevenin equivalent Problem 4 15 Points Yikes 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 the static 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 to determine whether their claim is true Find a set of valid inputs for which the circuit produces an invalid output clearly explaining why the output is invalid or show that no such case exists R A C R B Problem 5 20 Points A Assuming that the circuit shown below satisfies the static discipline determine the logical values 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 VS VS RL RL VS VS 5V VS RL RL W Z Y A B X C D E F G B Using the SR model for the MOSFETs with on resistance RON determine the lowest voltage possible at Z Problem 6 15 Points Lois Bass is hooking up her hifi system Her amplifier can pump 100 Watts of instantaneous power into a 4 Ohm speaker From the point of view of the speaker the amplifier can be modeled as a Thevenin 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 50 feet round trip to the speaker from her amplifier The resistance of 16AWG copper wire is about 4 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 the speaker terminals
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