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final_f00

# final_f00 - Massachusetts Institute of Technology...

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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 infinity. 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].
(B) To verify the “current source” action more directly, use the Op-Amp model from Part A to find 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 parenleftbigg Amps Volt 2 parenrightbigg . 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 Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007.
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