final_f00

final_f00 - Massachusetts Institute of Technology...

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Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.002 – Electronic Circuits Fall 2000 Final Exam Please write 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 19 pages 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. You may use three double-sided pages of notes while taking this exam. Final grades in 6.002 will not be given out by phone or by e-mail. Rather, they should be available through WEBSIS by December 22. You may review and take back your ±nal exam at the beginning of IAP in January 2001 from Room NE43-624. Good luck! Problem Score 1 2 3 4 5 6 7 Total Name: 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].
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Problem 1 15 Points The Op-Amp circuit shown below is very similar to the standard non-inverting Op Amp except that R L is some external resistor, and we are interested in showing that the current through R L is nearly constant, regardless of the value of R L , that is, the circuit acts like a current source for driving R L . R L R 2 i L A A’ - + v I - + (A) Using the Op-Amp model shown below, derive an expression for i L in terms of v I , A , R 2 and R L . Show that this expression for i L becomes independent of R L as A approaches inFnity. v O + v + v + v v + v O + A ( ) + v v + 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].
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(B) To verify the “current source” action more directly, use the Op-Amp model from Part A to Fnd the Th´ evenin equivalent resistance looking to the left of terminals AA . 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].
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Problem 2 15 Points This problem involves the circuit shown below. You are given that R = 1Ω, C = 1 μF , and K = 1 2 p Amps Volt 2 P . 2 R + R 2 R + v C i D + v D V A v a + is “small” v a Characteristics of nonlinear device: when when i D 0 = v D 0 i D Kv D 2 = v D 0 C i D v D - (A) Find the operating point voltage V D and the operating point current I D in the circuit shown above. Assume for this part that V A = 12 V . 4
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final_f00 - Massachusetts Institute of Technology...

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