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MIT 6 002 - Study Guide

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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 1 2A 2B 2C 2D Score Part 3A 3B 4 5A 5B Score 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 Name:_______________________________ Problem 1 (12 Points) Find a Thévenin 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 Thévenin voltage and resistance VTH, RTH that characterize the system.) You may ignore the degenerate case that occurs when Į = -(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 Name:_______________________________ Problem 2 (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 2 V. Assume that the MOSFET operates in the saturation region iD = ½k(vGS – VT) , and 2 has parameters k = 2 mA/V 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 small-signal 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 Name:_______________________________ Problem 3 (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 Į > -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 Name:_______________________________ Problem 4 (13 Points)


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MIT 6 002 - Study Guide

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