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MIT 6 002 - Homework 5

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Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science 6.002 - Electronic CircuitsSpring 2007 Homework #5Handout F07-028 Issued 3/8/2007 - Due 3/16/2007 Helpful Readings for this Homework: Agarwal & Lang Chapter 7.1 - 7.6 Exercise 5.1: Do Exercise 7.1 in Agarwal & Lang, page 390. Exercise 5.2: Do Exercise 7.3 in Agarwal & Lang, page 391. Problem 5.1: Determine the Thevenin equivalent of the following circuit. Note that it contains a dependent voltage source, and that the parameter α has units of Ohms. Figure for Problem 5.1 Problem 5.2: This problem studies the two amplifiers shown on the other side of the page. Amplifier A is a single-stage amplifier implemented with a voltage-dependent current source and a pull-up resistor. Assume that the current source parameters G and VT satisfy G > 0 and VS > VT > 0. Also assume that . Amplifier B is a two-stage amplifier in which each stage is identical to Amplifier A. (A) Determine vOUT as a function of vIN for Amplifier A. (B) Sketch and clearly label a graph of the input-output relation found in Part (A). (C) Determine vOUT as a function of vIN for Amplifier B. (D) Sketch and clearly label a graph of the input-output relation found in Part (C). (E) Consider Amplifier A again. Show that the dependent current source sinks power for vOUT > 0 and sources power for vOUT < 0. (F) Unlike the expression for the current in Amplifier A given with the figure on the next page, real-world devices do not supply additional current when vOUT < 0. Instead the device saturates and the dependent current source supplies a constant current, given by VS / R. Redo parts (A) and (B) in light of this fact. What change (if any) occurs in the input-output relation of Amplifier B? 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].Figure for P.5.2. 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


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MIT 6 002 - Homework 5

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