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ECE 202 Fall 2007 Homework No. 8 Solutions, Assignments of Microelectronic Circuits

Michigan State University (MSU)Microelectronic Circuits

Solutions to homework no. 8 for ece 202, a fall 2007 electrical engineering course. The solutions include problem re-workings from exam ii, text-based problem solutions, transfer function derivations, and netlist file creation for circuit simulations.

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Pre 2010

Uploaded on 07/23/2009

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ECE202(Fall2007)
HomeworkNo.8
Due:Friday,11/2/2007
(P.1)[50pts]Withtheadditionalinstructionsbelow,re‐workALLproblemsinExamII(includingthose
problemsthatyouhavereceivedfullcredit).Note:Followtheinstructionsbelowto
receivecreditforyourwork.
Problem1(a,b):Usethetime‐shiftpropertyofLaplacetransformtosolvetheseproblems.
Problem2(b):ConvertG(s)intoaproperrationalfunctionfirstbeforetakingtheinverse
Laplacetransform
Problem3:Expressyouranswer,f(t),intheformf(t) = f1(t) + f2(t),wheref1(t)isanexponential
function,andf2(t)istheproductofanexponentialandatrigonometricfunction.
Problem5:
i. Assumeallinitialconditionstobezero.
ii. UsevoltagedivisiontoobtainH1(s)andH2(s).
iii. Expressthepolesandzerossymbolicallyforparts5(c)&5(h).
iv. Specifythetransferfunctiontypewithrespecttothecornerfrequency/frequencies
(parts5(f)&5(j)).
(P.2)[8pts]SolveProblem12‐22intext.
(P.3)[24pts]ForthecircuitinFigure1
Figure1CircuitdiagramforP.3
(a) [3pts]Derivethetransferfunction,H(s) = I2(s)/I1(s).ExpressthedenominatorofH(s)asa
polynomialwithanunitycoefficientforthehighestorderofs.
(b) [10pts]LetR=500Ω,L=50uH,andC=20nF.Find:theresonancefrequency,
ω
0,lowercorner
frequency,
ω
C1,uppercornerfrequency,
ω
C2,bandwidth,BW,andthequalityfactor,Q.
(c) [11pts]Withthevaluesobtainedfrompart(b),writea“netlist”fileforthecircuitandperforma
PSPICE(NOTOrCADcapture)simulationtoobtaintheBodeplotsforT(s).Indicatethecorner
frequenciesontheBodeplots.Whattypeofagainfunctionisthis?Submityournetlistfilefor
credit.(Youmustcreatethisfileonyourownfromscratch).
pf2

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Download ECE 202 Fall 2007 Homework No. 8 Solutions and more Assignments Microelectronic Circuits in PDF only on Docsity!

ECE 202 (Fall 2007)

Homework No. 8

Due: Friday, 11/2/

(P.1 ) [50 pts] With the additional instructions below, re‐work ALL problems in Exam II (including those problems that you have received full credit). Note: Follow the instructions below to receive credit for your work. Problem 1 (a, b): Use the time‐shift property of Laplace transform to solve these problems. Problem 2 (b): Convert G(s) into a proper rational function first before taking the inverse Laplace transform Problem 3: Express your answer, f(t) , in the form f(t) = f 1 (t) + f 2 (t) , where f 1 (t) is an exponential function, and f 2 (t) is the product of an exponential and a trigonometric function. Problem 5: i. Assume all initial conditions to be zero. ii. Use voltage division to obtain H 1 (s) and H 2 (s). iii. Express the poles and zeros symbolically for parts 5(c) & 5(h). iv. Specify the transfer function type with respect to the corner frequency/frequencies (parts 5(f) & 5(j)). (P.2) [8 pts] Solve Problem 12 ‐ 22 in text. (P.3) [24 pts] For the circuit in Figure 1 Figure 1 Circuit diagram for P. (a) [3 pts]Derive the transfer function, H(s) = I 2 (s)/I 1 (s). Express the denominator of H(s) as a polynomial with an unity coefficient for the highest order of s.

(b) [10 pts] Let R = 500 Ω, L = 50 uH, and C = 20 nF. Find: the resonance frequency, ω 0 , lower corner

frequency, ω C1 , upper corner frequency, ω C2 , bandwidth, BW, and the quality factor, Q.

(c) [11 pts] With the values obtained from part (b), write a “netlist” file for the circuit and perform a PSPICE (NOT OrCAD capture) simulation to obtain the Bode plots for T(s). Indicate the corner frequencies on the Bode plots. What type of a gain function is this? Submit your netlist file for credit. (You must create this file on your own from scratch).

(P.4) [8 pts] Solve Problem 12 ‐ 24 in text. (P.5) [10 pts] Determine the transfer function, H(s) , from the Bode magnitude plot shown in Figure 2. Express the denominator of H(s) as a polynomial with an unity coefficient for the highest order of s. Figure 2 Waveform for Problem P.