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# exam1_solution - Prof. Sam Palermo ECEN 325 Exam #1 October...

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Unformatted text preview: Prof. Sam Palermo ECEN 325 Exam #1 October 4, 2011 Texas A&M University Department of Electrical and Computer Engineering ECEN 325 — Electronics Fall 2011 Exam #1 Instructor: Sam Palermo 0 Please write your name in the space provided below 0 Please verify that there are 7 pages in your exam 0 You may use w double-sided page of notes and equations for the exam 0 Good Luck! Prof. Sam Palermo ECEN 325 Exam #1 October 4, 2011 Problem 1 (30 points) Plot the magnitude and phase response of the following transfer functions. Label key points and slopes. ( m, 4 108 s+107) , , W : m> : 8035 F S = —————-——— 15 't 0C gov/1 “ [0” a) ( ) (5+105)(5+106) ( pm“) , ¢ HF Raf“ : J [216/0 01+ “'20 10052 b) NS) = (3+105)(S+105) (1 5 points) Prof. Sam Palermo ECEN 325 Exam #1 October 4, 2011 Problem 2 (20 points) Assume for problem 2 that all operational ampliﬁers are ideal, unless speciﬁcally noted. a) Design the following ideal integrator circuit to have a lkﬂ input resistance and implement the following transfer function. (10 points) c 106 Vacs) = —-Tvi(s) R VI g if v0 v0 a w ’3 : ~ 33 ,1- \H " ,ZYQ ,Q ’ R: ’Q , Q r; / [(4, 5/) “ 6 C = In F I I0 ska ”’ ‘ s if I I F C ‘ mm) lo“ ‘ ” b) Now assume that the opamp has an offset voltage v05=10mV and output saturation voltages of VSAT=i7V. If the integrator circuit is powered up with Vi=0V and no initial capacitor voltage, how long does it take for the circuit to saturate? (10 points) /C/2/1F sk/L Opamp Saw/owe“? 51+ e 71/ load/[I ’L (egg/AF) 27V 6,0151%«5 ll 4. tSAT: é, c2” Prof. Sam Palermo ECEN 325 Exam #1 Problem 3 (20 points) Assume for problem 3 that the operational ampliﬁers is ideal. C R1 Vn R2 V0 VIZ R3 = a) Find the expression for v0 as a function of v“ and V9. (5 points) b) Find the expression for the circuit input resistance seen from V11. (5 points) c) Find the expression for the circuit input resistance seen from Viz. (5 points) (1) Find the expression for the circuit output resistance. (5 points) a, V, + / Zea \(l 4 eﬂ W2 V0: " 3,6, M (gmwpg‘es) 2,5: i V ‘ + K? + “W! \ l/ ‘ " Sﬂil H €243; I 326,6} ‘1 - \ F3 \ ’{+3)€C\ - _, IV” kz l Evil 5’6! C '62 7‘ (5 , 5 g 5 ) October 4, 201 1 kg; E70 (Maw? (“‘3’ M ,‘Jml M; g’légur 03"“? £4 69%) MM") V0 9 ’64 1C 4;, Prof. Sam Palermo ECEN 325 Exam #1 October 4, 2011 Problem 4 (20 points) The operational ampliﬁer used in the remainder of the problem has the following open-loop transfer function 10S A(s) = S 1 + 1—0— a) Sketch the open-loop magnitude response of the operational ampliﬁer. Make sure to label the unity-gain frequency. (5 points) b) The ﬁnite gain-bandwidth operational ampliﬁer from part (a) is used in the following ampliﬁer circuit. Find the expression for the closed-loop transfer function (VD/Vi). (5 points) c) What is the closed-loop -3dB frequency (bandwidth) of the total ampliﬁer circuit? (5 points) (1) Sketch the closed-loop magnitude response of the ampliﬁer circuit. (5 points) 49R lag UcL S‘O Prof. Sam Palermo ECEN 325 Exam #1 October 4, 2011 Problem 5 (10 points) The step response of a unity-gain voltage follower constructed with a single-pole opamp with unity gain frequency, (at, is given below. The operational ampliﬁer for tlﬁgproblem has a ﬁnite slew rate of lV/us. Given an input amplitude V=5V, what is the minahg'lrummopamp unity gain frequency, (at, neeessaq—te-produce an un-distorted single-pole transient response? ~l'mzaL Md opamp ’a‘ have M d4&, ﬁll/H A (S )= —w t S + a) p Vi“) Prof. Sam Palermo ECEN 325 Exam #1 October 4, 2011 Scratch Paper ...
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## This note was uploaded on 01/01/2012 for the course ECEN 325 taught by Professor Silva during the Spring '08 term at Texas A&M.

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exam1_solution - Prof. Sam Palermo ECEN 325 Exam #1 October...

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