Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6 002 Circuits Electronics Spring 2007 Quiz 1 13 March 2007 Name There are 26 pages in this quiz including this cover page Please check that you have them all Please write your name in the space provided above and circle the name of your recitation instructor along with the time of your recitation IMPORTANT The problems in this quiz vary in di culty moreover questions of di erent levels of di culty are distributed throughout the quiz If you nd yourself spending a long time on a question consider moving on to later problems in the quiz and then working on the challenging problems after you have nished all of the easier ones Do your work for each question within the boundaries of that question or on the back of the preceding page When nished enter your answer to each question in the corresponding answer box that follows the question Remember to include the sign and units for all numerical answers This is a closed book quiz but you may use a calculator and your double sided page of notes You have 2 hours to complete this quiz Good luck 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Final Score 1 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 1 4 points VO 12 12 VS VO VS 1 4 18 12 1 3 1 2 2 3 3 4 2 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 2 4 points 3 IO 3 IS 3 3 IO IS 1 4 1 3 1 2 2 3 3 4 3 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 3 4 points R2 i v R1 V I Network B Graph the above network s i v relations as viewed from its port Clearly label the intercepts and the slope i v 4 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 4 4 points R Req Req R R R 2 R R R R R 1 3 2 R R R 1 3 R R resistor pattern continues 1 5 2 2R 5 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 5 4 points Write the node equations for the nodes el and e2 in the box below Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 6 4 points Thevenin Equivalent Circuit Thevenin Equivalent Circuit The current i is measured in two experiments which are performed on a Thevenin equivalent circuit as shown What is the Thevenin equivalent resistance Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 7 4 points A battery which can be modelled by a Thevenin equivalent circuit has an open circuit voltage of 2 volts When a 500 resistor is connected to the battery the terminal voltage drops to 1 volt How much power is dissipated in the Thevenin equivalent resistance of the battery under this condition Pdiss 0 002 W 0 005 W 0 5 W 2W 5W 8 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 8 4 points 1A 1 1 VO 1V 1V Vo 3 2 V 1 2 V 0V 1 2 V 3 2 V 9 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 9 4 points 2m Noise in the 2 meter digital channel shown above is added in at the rate of 0 6 V per meter To correct for that noise we introduce bu ers into the channel The purpose of a bu er is to take a signal to which noise has been added so that it no longer meets the output speci cations of the static discipline and clean it up so that it once again meets the output speci cations of the static discipline These bu ers as well as the gates shown obey the following static discipline VOL 1 V VIL 2 V VOH 4 V VIH 3 V What is the minimum number of bu ers required to connect between the digital links in order to insure correct operation 0 1 2 3 4 10 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 10 4 points B A Z Fill in the truth table for the above digital circuit A 0 0 1 1 B Z 0 1 0 1 11 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 11 4 points A C B This gate is equivalent to C A A C B A a Circuit A A B C B b Circuit B B C A c Circuit C C D B d Circuit D none of the above 12 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 12 4 points 19 k 100 10 V VO 19 k Find the power dissipated in RON if the MOSFETs are accurately represented by the switchresistor model where the threshold voltage VT 2 V and the on resistance RON 100 Pdiss 0 25 W 0 5 W 0 75 W 1W 2W 13 Cite as Anant Agarwal and Jeffrey Lang course materials for 6 002 Circuits and Electronics Spring 2007 MIT OpenCourseWare http ocw mit edu Massachusetts Institute of Technology Downloaded on DD Month YYYY Problem 13 4 points 5V RL 1 k VO VI Given that VI 5 V and VO 5 V and that the MOSFETs are accurately represented …
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