MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE 6 002 Circuits and Electronics Quiz 2 November 10 2004 YOUR NAME Recitation Instructor TA General Instructions 1 Please verify that there are 18 pages in your exam booklet 2 Please do all of your work in the spaces provided in this examination booklet 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 the booklet Place the answer to each question within the appropriate answer box 3 You may use two double sided pages of notes and a calculator while taking this exam For examiner s use only Part Score 1 2A Part Score 3A 3B 2B 4 2C 2D 5A 5B TOTAL SCORE 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Problem 1 Name 12 Points Find a Th venin equivalent model of the circuit shown in Figure 1 as viewed from the terminal pair at the right of the circuit That is find the Th venin voltage and resistance VTH RTH that characterize the system You may ignore the degenerate case that occurs when R1 R2 Figure 1 Page 2 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Name VTH RTH Page 3 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Problem 2 Name 25 Points This problem concerns the MOSFET amplifier shown in Figure 2 Figure 2 2A Find the value of the dc input voltage VI such that the dc output voltage VOUT 5 V Assume that the MOSFET operates in the saturation region iD k vGS VT 2 and has parameters k 2 mA V2 and VT 1 V VI Page 4 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Name 2B Validate or disprove the assumption that the MOSFET operates in the saturation region for the proposed operating condition MOSFET saturation region satisfied Justification Page 5 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Name 2C Given the small signal model for the MOSFET shown in Figure 3 draw the smallsignal model for the amplifier Make sure to label all important circuit parameters and variables Figure 3 Draw the small signal circuit model for the amplifier Page 6 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Name 2D Calculate the small signal voltage gain for the amplifier and express it in terms of gm RD and RS vout vi Page 7 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Problem 3 Name 25 Points For the circuits below please find expressions for the specified voltage over the indicated time ranges in terms of the circuit parameters Plot the waveform on the provided axes and clearly identify the key parameters in your graph 3A Consider the circuit of Fig 4 The switch is open for t 0 closed for 0 t t1 and open for t t1 where t1 3RC Find and plot the voltage vC t Figure 4 Page 8 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Name vC t t 0 vC t 0 t t1 vC t t t1 Plot vC t over all time indicating important waveform parameters Page 9 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Name 3B Consider the circuit of Figure 5 in which 1 The switch is open for t 0 and closed for t 0 vC 0 V0 Find and plot the voltage v1 t Figure 5 Page 10 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Name v1 t t 0 v1 t t 0 Plot v1 t over all time indicating important waveform parameters Page 11 of 18 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 6 002 Circuits and Electronics Fall 2004 Quiz 1 Problem 4 Name 13 Points After years of research the FUBAR division of Bellyup Labs has created a new threeterminal semiconductor device that they name the Dualistor The proposed symbol for the device is shown in Fig 6 along with a large signal circuit model that the Bellyup researchers tell you is valid over the range of interest Figure 6 The researchers at Bellyup Labs have asked your assistance in developing a small signal circuit model for the Dualistor Derive a small signal circuit model for the Dualistor operating about a bias point iF IF Draw and label the small signal circuit making sure to indicate all important terminal variables and parameters Page 12 of 18 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 6 002 Circuits and
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