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### Doering_4_1S

Course: EECS 215, Fall 2011
School: Michigan
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Ideal 4.1 Op-Amp Model, Section 4-3 Summary Comparison (please disregard the simulation results): Results: Analysis Simulation Measurement Relative Differences: Simulation -- Analysis Measurement -- Analysis vout (V) R2 lower limit (kohms) -9.20 1.97 -9.20 1.97 -9.38 2.06 0.0% 2.0% 0.0% 4.6% myDAQ current Results: Measured source value iS = 1.90 mA See summary comparison table for DMM voltmeter measurements...

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Ideal 4.1 Op-Amp Model, Section 4-3 Summary Comparison (please disregard the simulation results): Results: Analysis Simulation Measurement Relative Differences: Simulation -- Analysis Measurement -- Analysis vout (V) R2 lower limit (kohms) -9.20 1.97 -9.20 1.97 -9.38 2.06 0.0% 2.0% 0.0% 4.6% myDAQ current Results: Measured source value iS = 1.90 mA See summary comparison table for DMM voltmeter measurements of vout and minimum value of R2 at vout = -11 volts. Analytical Solution:
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Michigan - EECS - 215
4.2 Noninverting Amplifier, Section 4-3Summary Comparison (please disregard the simulation results):Results:AnalysisSimulationMeasurementRelative Differences:Simulation - AnalysisMeasurement - AnalysisAnalytical Solution:Gain, beta=0.01.0001.0
Michigan - EECS - 215
4.4 Signal Processing Circuits, Section 4-8Summary Comparison (Please disregard the simulation results):Results:AnalysisSimulationMeasurementRelative Differences:Simulation - AnalysisMeasurement - AnalysisAnalytical Solution:% clipping, beta=0.5
Michigan - EECS - 215
5.1 Capacitors, Section 5-2Summary Comparison:Results:AnalysisSimulationMeasurementRelative Differences:Simulation - AnalysisMeasurement - AnalysisAnalytical Solution:i(t), t=8ms (mA)i(t), t=25ms (mA) i(t), t=30ms (mA)8.000-5.353-2.8658.000
Michigan - EECS - 215
5.4 Response of the RL Circuit, Section 5-5Summary Comparison:Results:AnalysisSimulationMeasurementRelative Differences:Simulation - AnalysisMeasurement - Analysisv switch closed (V)1.2491.251.046peak (V)9.439.1744.84tau (s)42.943.0643
Michigan - EECS - 215
6.1 Initial and Final Conditions, Section 6-1Summary Comparison:Results:vC(0) [V] iC(0) [mA] vC(inf) [V] iL(0) [mA] vL(0) [mA] iL(inf) [mA]Analysis-4.31433.7-0.6544-39.212.976-5.949Simulation-4.31432.98-0.6544-39.213.078-5.949Measurement
Michigan - EECS - 215
6.2 Natural Response of the Series RLC Circuit, Section 6-3Summary Comparison:Results:vC(0) [V] vC min [V] vC max [V]Analysis1.806.34-8.52Simulation1.8006.394-8.515Measurement1.954.8-6.9300Relative Differences:Simulation - AnalysisMeasur
Michigan - EECS - 215
6.3 General Solution for Any Second-Order Circuit, Section 6-6Summary Comparison:Results:vC max [V] vC final [V]Analysis1.920.935Simulation1.9260.94Measurement1.981.08Relative Differences:Simulation - AnalysisMeasurement - AnalysisAnalytic
Michigan - EECS - 215
7.1 Impedance Transformations, Section 7-5Summary Comparison:Impedance magnitude:AnalysisMultisimmyDAQ100 Hz (ohms) 500 Hz (ohms) 1 kHz (ohms) 2 kHz (ohms)192.7280.9421.8142.9193.4280.9421.8143.0194.6285.5431.6150.9AverageMax absolute
Michigan - EECS - 215
7.2 Equivalent Circuits, Section 7-6Summary Comparison:500 Hz; Thevenin impedance is inductive:Results:AnalysisSimulationMeasurementRelative Differences:Simulation - AnalysisMeasurement - AnalysisVth mag (V)Vth phase (deg) Zth res (ohm) Zth ind
Michigan - EECS - 215
7.x Phasor-Domain Analysis Techniques, Section 7-9Summary Comparison:Impedance magnitude:Results:AnalysisSimulationMeasurementRelative Differences:Simulation - AnalysisMeasurement - AnalysisVA mag (V) VA phase (deg) VB mag (V) VB phase (deg)2.9
Michigan - EECS - 215
8.2 Average Power, Section 8-3Summary Comparison:Results:AnalysisSimulationMeasurementPav (mW)28.80028.81527.26Relative differencecompared to analysis:SimulationMeasurementAnalytical Solution:0.1%-5.3%myDAQ Results:Function Generator set
Michigan - EECS - 215
8.4 The Power Factor, Section 8-4Summary Comparison:Results:AnalysisSimulationMeasurementuncompensated pf compensated pf0.56320.94660.5630.9470.520.89Relative Differences:Simulation - AnalysisMeasurement - AnalysisAnalytical Solution:0.0%
Michigan - EECS - 215
9.2 Bode Plots, Section 9-3Summary Comparison:Results:AnalysisSimulationMeasurementRelative Differences:Simulation - AnalysisMeasurement - AnalysisLF asymptote (dB) LF asymptote (deg) HF asymptote (dB) HF asymptote (deg) LF corner (kHz) HF corner
Michigan - EECS - 215
9.3 Filter Order, Section 9-5Summary Comparison:Results:AnalysisSimulationMeasurementRelative difference:Simulation - AnalysisMeasurement - AnalysisAnalytical Solution:fc (Hz)159.2159.8158.50.4%-0.8%myDAQ Results:Cutoff frequency (where m
Michigan - EECS - 215
9.4 Cascaded Active Filters, Section 9-7Summary Comparison:AnalysisSimulationMeasurementRelative Differences:Simulation - AnalysisMeasurement - Analysis284.200291.52832842280028252.6%-3.0%-1.5%0.9%0.00-0.845-0.88N/AN/ANOTE: Percenta
Michigan - EECS - 215
Michigan - MATH - 371
Homework 1Math 371, Fall 2011Assigned: Thursday, September 8, 2011Due: Thursday, September 15, 2011(1) (Finite precision numbers) The oating point representation of a real number takes theform x = (0.a1 a2 . . . an ) e , where a1 = 0, M e M . Suppose
Michigan - MATH - 371
Homework 2Math 371, Fall 2011Assigned: Thursday, September 15, 2011Due: Thursday, September 22, 2011(1) (Rootnding and Optimization)(a) Suppose f (x) is dierentiable on [a, b]. Discuss how you might use a rootnding methodto identify a local extremum
Michigan - MATH - 371
Verify that = is a fixed point of the function. 1 = + 2Use the techniques of this section to determine the order of convergence and the asymptotic error constant of the sequence ! = ! 1 toward = .
Michigan - MATH - 371
Homework 3Math 371, Fall 2011Assigned: Thursday, September 22, 2010Due: Thursday, September 29, 2010Page numbers in the international edition are +12.(1) (Rootnding and Optimization cont.)(a) Let us continue the previous assignment for nding the uni
Michigan - MATH - 371
Homework 4Math 371, Fall 2011Assigned: Thursday, September 29, 2011Due: Thursday, October 6, 2011Page numbers in the international edition are +12.Clearly label all plots using title, xlabel, ylabel, legendUse the subplot command to compare multiple
Michigan - MATH - 371
Homework 5Math 371, Fall 2011Assigned: Sunday, October 9, 2011Due: Thursday, October 20, 2011 Clearly label all plots using title, xlabel, ylabel, legend Use the subplot command to compare multiple plots Include printouts of all Matlab code and outp
Michigan - MATH - 371
Homework 6Math 371, Fall 2011Assigned: Thursday, October 20, 2011Due: Thursday, October 26, 2011 Clearly label all plots using title, xlabel, ylabel, legend Use the subplot command to compare multiple plots Include printouts of all Matlab code, labe
Michigan - MATH - 371
Homework 7Math 371, Fall 2011Assigned: Saturday, October 28, 2011Due: Thursday, November 3, 2011Clearly label all plots using title, xlabel, ylabel, legendUse the subplot command to compare multiple plotsInclude printouts of all Matlab code, labeled
Michigan - MATH - 371
Homework 8Math 371, Fall 2011Assigned: Thursday, November 3, 2011Due: Thursday, November 10, 2011Clearly label all plots using title, xlabel, ylabel, legendUse the subplot command to compare multiple plotsInclude printouts of all Matlab code, labele
Michigan - MATH - 371
Homework 9Math 371, Fall 2011Assigned: Thursday, November 10, 2011Due: Thursday, November 17, 2011Clearly label all plots using title, xlabel, ylabel, legendUse the subplot command to compare multiple plotsInclude printouts of all Matlab code, label
Michigan - MATH - 371
Homework 10Math 371, Fall 2011Assigned: Thursday, November 17, 2011Due: Thursday, December 1, 2011Clearly label all plots using title, xlabel, ylabel, legendUse the subplot command to compare multiple plotsInclude printouts of all Matlab code, label
Michigan - MATH - 371
Homework 11Math 371, Fall 2012Assigned: Friday, December 2, 2011Due: Tuesday, December 13, 2011Clearly label all plots using title, xlabel, ylabel, legendUse the subplot command to compare multiple plotsInclude printouts of all Matlab code, labeled
Michigan - MATH - 371
Homework 1 SolutionsMath 371, Fall 20111. (Finite precision numbers) The oating point representation of a realnumber takes the form x = (0.a1 a2 . . . an ) e , where a1 = 0,M e M . Suppose that = 2, n = 4, and M = 5.(a) Find the smallest and largest
Michigan - MATH - 371
Homework 2 SolutionsMath 371, Fall 2011Page numbers in the International Edition are +12.Here is an example of two MATLAB scripts which, together, allow you to pass a pass a function into yourcode. This allows you to reuse your code for other function
Michigan - MATH - 371
Homework 3, Solution SketchesMath 371, Fall 20111. (Rootnding and Optimization)(a)(b) Approximate this local maximum using six iterations of the bisectionmethod with starting interval [4, 6].(see table)(c) Approximate this local maximum using six i
Michigan - MATH - 371
Homework 4 Solution SketchesMath 371, Fall 2011Assigned: Thursday, September 29, 2011Due: Thursday, October 6, 2011(1) (Matrix Operations) P. 148 #1, 2, 3, 4, 5, 6, 7, 8, 91a.6186 1 61b. DN E8 4 22 1 34 3b.3a.6 2 142a.2b.5b. DN E9 14 118
Michigan - MATH - 371
Homework 5 Solution SketchesMath 371, Fall 2011Assigned: Sunday, October 9, 2011Due: Thursday, October 20, 2011(1) (Pivoting)(a) Prove that the matrix0111does not have an LU decomposition.Use direct decomposition. Suppose that01=1112101u1
Michigan - MATH - 371
Homework 6 Solution SketchesMath 371, Fall 2011Assigned: Thursday, October 20, 2011Due: Thursday, October 26, 2011 Clearly label all plots using title, xlabel, ylabel, legend Use the subplot command to compare multiple plots Include printouts of all
Michigan - MATH - 371
Homework 7 solution sketchesMath 371, Fall 2011Assigned: Saturday, October 28, 2011Due: Thursday, November 3, 2011Clearly label all plots using title, xlabel, ylabel, legendUse the subplot command to compare multiple plotsInclude printouts of all Ma
Michigan - MATH - 371
Homework 8 SolutionMath 371, Fall 2011Assigned: Thursday, November 3, 2011Due: Thursday, November 10, 2011Clearly label all plots using title, xlabel, ylabel, legendUse the subplot command to compare multiple plotsInclude printouts of all Matlab cod
Michigan - MATH - 371
Homework 9 SolutionsMath 371, Fall 20111. (Interpolating Polynomials) The function f (x) = 1/(x + 1) is given at the four points x0 = 1,x1 = 2, x2 = 3, x3 = 4.(a) Write the interpolating polynomial in Lagrange form.(x 2)(x 3)(x 4) 1 (x 1)(x 3)(x 4) 1
Michigan - MATH - 371
Homework 10 SolutionsMath 371, Fall 20111. (Chebyshev polynomials) Do problem #3 on page 385 of Bradie.Let Tn (x) = cos(n cos1 x). We must compute the integral11Tn (x) Tm (x)dx.1 x2First, substitute x = cos to obtain /22cos(n) cos(m) d./2App
Michigan - MATH - 371
Homework 11 SolutionsMath 371, Fall 2011(1) (Richardson Extrapolation) P. 454 #11(a) Adding the Taylor series for f (x0 + h) and f (x0 h) givesf (x0 + h) + f (x0 h) =h4h8 (8)h82f (x0 ) + h2 f (x0 ) + f (4) (x0 ) +f (x0 ) +[f (8) ( ) f (8) (x0 )]
Michigan - MATH - 371
Math 371 (Fall 2011): Midterm Exam13 October 2011Name:Q120 pointsQ220 pointsQ320 pointsQ420 pointsQ520 pointsTotal100 points11. (20 points) Answer each of the following questions briey.(a) For scientic measurements, which of relative erro
Michigan - MATH - 371
Math 371-001/002Time:Place:Instructor:Oce:Phone:Email:O.hours:Textbook:Numerical MethodsFall 2011TuTh 9:00-10:30 a.m. (Section 002)TuTh:12:00-1:30 p.m. (Section 001)3427 EECS (Section 002)2150 DOW (Section 001)Divakar Viswanath3856 East Ha
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #9 - Due November 23, 2011Problem 1: A simplied form of the stepped thrust bearing consists of a stationary plateheld parallel to a moving surface as shown.
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #10 - Due November 30, 2011Problem 1: Problems 7.10, 7.21 and 7.23 of the text.Problem 2: Problems 7.30 and 7.33 of the text.Problem 3: Problems 7.50, 7.56
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #11 - Due December 7, 2010Problem 1: Problems 8.61, 8.66 and 8.72 of the text.Problem 2: Problems 8.77 and 8.78 of the text.Problem 3: Problems 8.79, 8.90
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #12 - Due by midnight December 13, 2011Problem 1: Problems 9.19 and 9.20 of the text.Problem 2: Problems 9.45, 9.52 and 9.70 of the text.Problem 3: Problem
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Section 1 &amp; 2Homework #2 - Due September 28, 2011Problem 1: Problems 2.7 and 2.9 of the text.Problem 2: Problems 2.14 and 2.15 of the text.Problem 3: Problems 2.36 and 2.37 of th
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #7 - Due November 9, 2011Problem 1: Problems 6.15, 6.21 and 6.22 of the text.Problem 2: Problems 6.24 and 6.26 of the text.Problem 3: Problem 6.20 of the t
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #9 - Due November 23, 2011Problem 1: A simplied form of the stepped thrust bearing consists of a stationary plateheld parallel to a moving surface as shown.
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #10 - Due November 30, 2011Problem 1: Problems 7.10, 7.21 and 7.23 of the text.Problem 2: Problems 7.30 and 7.33 of the text.Problem 3: Problems 7.50, 7.56
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #1 - Due September 21, 2011Problem 1: Problems 1.11, 1.12 and 1.13 of Munson, Young, Okiishi, Huebsch, 6th edition(hereafter referred to as the text)Proble
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #3 - Due October 5, 2011Problem 1: Problems 2.56, 2.60 and 2.72 of the text.Problem 2: Problems 2.83, 2.87 and 2.94 of the text.Problem 3: Problems 2.89, 2
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #4 - October 12, 2011Problem 1: problems 4.13, 4.16 and 4.19 of the text.Problem 2: Problems 4.32, 4.35 and 4.49 of the text.Problem 3: Problems 3.35 and 3
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #5 - Due October 19, 2010Problem 1: Problems 3.46, 3.88 and 3.90 of the text. Assume quasi-steady ow in allproblems.Problem 2: Consider the reservoir syste
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #6 - Due Friday October 28, 2010 by 5:00pmProblem 1: Problems 5.48, 5.66 and 5.70 of the text.Problem 2:(a) Problem 5.60 of the text.(b) The results of a
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #8 - Due November 16, 2011Problem 1: Problems 6.90 and 6.93 of the text.Problem 2: Problems 6.99 and 6.102 of the text.Problem 3: Problems 6.106 and 6.107
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #11 - Due December 7, 2010Problem 1: Problems 8.61, 8.66 and 8.72 of the text.Problem 2: Problems 8.77 and 8.78 of the text.Problem 3: Problems 8.79, 8.90
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Homework #12 - Due by midnight December 13, 2011Problem 1: Problems 9.19 and 9.20 of the text.Problem 2: Problems 9.45, 9.52 and 9.70 of the text.Problem 3: Problem
Michigan - ME - 320
- .-(Ne J 2o _FqlJ 2 ou- z.-h=u~lotf-)cfw_2)1f( J()D);.2.~h= ~ ( J - 9. S'xM 1 ) = To . o 571f.oS.xlOLWJF;,.r &quot;' ~ 4-to 1 ) (u!cD) = Z1; 3 'r 1 N(cl5'~' -/'/']--&quot;-cv\~( j)~';,.X\- it-cLe.[b ,.-.-y,~(c_)- - - !_ _Arr1C.BY\S
Michigan - ME - 320
The University of MichiganDepartment of Mechanical EngineeringME 320 - Sections 1 &amp; 2Final Exam - December 15, 2011Problem 1 (23 points)Two thin rectangular plates, of length L and width w into the page, are connected at one endby a closed-end exibl
Michigan - ME - 320
Me :sz.o - f41J-z.o11-l?e!&gt;b) ~ ( z3 rnit i&gt;/ ( o,)COV1 ~ v&quot;a.i(b)D.r1n ool5 (wtl14-f.J .,. ,. , ().1).0Is~), 7 'cfw_) sU J /J.cfw_)Il n uf-lt:.- Wee. .-to cfw_/ow &amp;.tlUl.t? r lle.,l [La.tQ l i,t)&quot;~o.(-*) =PerjdF&gt;.:p&lt;x)fa- fl&quot;
Michigan - ME - 320
ME 320, Fluid Mechanics - Fall 2011Sections 1 &amp; 2Section 1 MW 8:30 - 10:00 (Rm. 1311 EECS)Section 2 MW 3:30 - 5:00 (Rm. 1670 CSE)Instructors:Prof. Rayhaneh AkhavanRm. 2018 G. G. Browne-mail: raa@umich.eduOce Hours: M 10:00 - 11:00amProf. Massoud