55:041 Electronic Circuits

Size: px
Start display at page:

Download "55:041 Electronic Circuits"

Transcription

1 55:04 Electronic ircuit Frequency epone hapter 7 A. Kruger Frequency epone-

2 ee page 4-5 of the Prologue in the text Important eview co Thi lead to the concept of phaor we encountered in ircuit In Linear ytem we learn about complex frequency In thi coure, we normally tay on the imaginary axi 0 omplex impedance eitor apacitor 2 Inductor 2 A. Kruger Frequency epone-2

3 Frequency epone f o Av Vi Midband f o Av 2 Vi 20 log 0 A v f L f H log( f A. Kruger Frequency epone-3

4 Amplifier Gain Veru Frequency V i ( f A( V f o V o V ( f i ( f ect. 7. A. Kruger Frequency epone-4

5 Tranfer Function of omplex Frequency Voltage Amplifier urrent Amplifier Tranconductance Amplifier Tranreitance Amplifier Name of Function Voltage Tranfer Function urrent Tranfer Function Tranreitance Function Tranconductance Function Expreion T( = V o (/V i ( I o (/I i ( V o (/I i ( I o (/V i ( A. Kruger Frequency epone-5

6 A. Kruger Frequency epone-6 General Tranfer Function ( ( ( ( ( ( ( 2 2 n m p p p z z z K T Zero are where tranfer function i zero Zero are where tranfer function i zero Pole are where tranfer function diverge and become infinite Pole are where tranfer function diverge and become infinite omplex frequency omplex frequency j ( ( ( ( ( ( ( ( 2 2 n m j p j p j p j z j z j z j K T j T omplex frequency i the general cae. One can evaluate the tranfer function with a inuoidal excitation at a frequency ( = 2f by etting = j omplex frequency i the general cae. One can evaluate the tranfer function with a inuoidal excitation at a frequency ( = 2f by etting = j

7 omplex Impedance ecap omplex frequency j eitor apacitor Inductor L j j L A. Kruger Frequency epone-7

8 A. Kruger Frequency epone-8 erie oupling apacitor ircuit P P i o V V T ( ( ( τ = Time ontant τ = Time ontant Voltage Tranfer Function Voltage Tranfer Function P P p p P i o K K V V T 2 2 ( ( ( ( P P P P P P 2 K ( ( ( ( ( ( 2 2 n m p p p z z z K

9 A. Kruger Frequency epone-9 P P K T ( ( p p P i o K K V V T 2 2 ( ( ( ( Example of Firt-Order ircuit Example of Firt-Order ircuit More Example

10 A. Kruger Frequency epone-0 Bode Plot: Magnitude ect ect p p P K K T 2 2 ( ( ( 2 j j K j T ( 2 2 K j T 2 2 ( 2 2 f f K jf T 2 2 ( 2 p p f f jf T General cae General cae inuoidal excitation inuoidal excitation

11 T( jf 20log p p T ( jf 20log 2f 2f 2 20log 2f 20log 2f p p 2 20log0 T( jf p 20log 0 p 20 db Actual curve decade f f 0. 2 f 2 Log cale A. Kruger Frequency epone-

12 T( jf p p 2f 2f 2 T ( jf p p 2f 2 20log0 T( jf p 20log 0 p 3 db Actual curve Break-point frequency -3 db frequency f 2 f Log cale orner frequency A. Kruger Frequency epone-2

13 Bode Plot: Phae T( K2 P K2 ( p p A. Kruger Frequency epone-3

14 Bode Plot: Magnitude T ( K P ( P P P A. Kruger Frequency epone-4

15 Bode Plot: Phae T ( K P ( P P P A. Kruger Frequency epone-5

16 hort-ircuit and Open-ircuit Time ontant T( ( z K ( p ( ( z2 ( zm p ( p 2 n Pole and zero can interact hort- and open-circuit time contant: ueful implification when pole and zero don t interact trongly ect Low-Frequency epone Open-circuit time contant: et all independent ource to zero and treat P a open circuit ( P hort-circuit time contant: et all independent ource to zero and treat a hort circuit High-Frequency epone P ( f L f H 2 2 P P P A. Kruger Frequency epone-6

17 Frequency epone f o Av Vi Midband f o Av 2 Vi 20 log 0 A v f L f H log( f A. Kruger Frequency epone-7

18 hort-ircuit and Open-ircuit Time ontant ( P f L 2 P ( P P f H 2 P A. Kruger Frequency epone-8

19 Example = kω, P = 0 kω, = µf, P = 3 pf τ = m and τ P = 2.73 n f L = 4.5 Hz and f H = 58.3 MHz Example 7.2 f L and f H are order of magnitude apart => good aumption A. Kruger Frequency epone-9

20 teady-tate Output epone oupling apacitor ect Load apacitor Load apacitor oupling apacitor A. Kruger Frequency epone-20

21 elationhip Between ie-time and Bandwidth Not in text t order ytem (, low-pa v v o i e t / Time to reach 0% of final value for tep input Time to reach 90% of final value for tep input / 0. e t t0 0 / 0.9 e t t90 90 ln( ln( % ie time t r t90 t0 ln( ( -3 db bandwidth of a low pa circuit with time contant BW ( 3dB (Hz...(2 2 ombine ( and ( BW ( 3dB 2 tr 2.2 2tr tr (Hz A. Kruger Frequency epone-2

22 elationhip Between ie-time and Bandwidth Not in text BW 3dB 0.35 t ( r (Hz t r 2.2 t r 2 t t 2 t 2 r r2 rn A. Kruger Frequency epone-22

23 Tak: plot frequency repone E with oupling apacitor ect. 7.3 f L 2 ( i i Alternative: ue time contant technique I i i B i r E B ib A v ( Vi g i m r i i B B ib A. Kruger Frequency epone-23

24 A. Kruger Frequency epone-24 f log 20 0 E f 2 i i L f ( 2 i i (? i E B i r E v A lope = 20 db/decade lope = 20 db/decade

25 ommon ource with Output oupling apacitor ect. 7.3 Time contant technique: et all independent ource to zero, and conider c. f L 2 ( D L A. Kruger Frequency epone-25

26 Emitter Follower with Output oupling apacitor Frequency repone = low pa Determine the lower -3 db frequency Example 7.5 o r o r B o ( o E L 2? f L 2 ( Alternative: Ue time contant technique: et all independent ource to zero and conider c2 o E Full analytical olution become quite complicated L Hz Great exam quetion A. Kruger Frequency epone-26

27 Emitter Follower with Output oupling apacitor Example 7.5 o r o r B 0 db ( o E L 2 0 db f L 2 ( o E L Hz lope = 20 db/decade f 2 f A. Kruger Frequency epone-27

28 ommon ource with Load apacitor Note the PMO tranitor. an you identify thi a a common ource amplifier? ect Frequency repone = low pa Time contant technique: et all independent ource to zero, and conider L f H 2 ( D L L A. Kruger Frequency epone-28

29 oupling and Parallel Load apacitor ect Low-pa (f H High-pa (f L 20 log 0 A v Midband Gain f L f H log( f A. Kruger Frequency epone-29

30 mall-ignal Equivalent ircuit: oupling and Parallel Load apacitor Derive an expreion for the voltage gain that include L and and then plot ignificant amount of work Ue PIE alo a fair amount of work A. Kruger Frequency epone-30

31 oupling and Parallel Load apacitor ect i r i E? Time contant technique: et independent ource to zero, and conider L, Low-pa (f H High-pa (f L f L 2 [ ( 2 ] i 20 log 0 A v Midband Gain f H 2 ( L L f L f H log( f A. Kruger Frequency epone-3

32 A. Kruger Frequency epone-32 mall-ignal Equivalent ircuit: oupling and Parallel Load apacitor i L f ] ( [ 2 2 L L H f ( 2 Time contant technique: et independent ource to zero, and conider L, Time contant technique: et independent ource to zero, and conider L, E i r

33 BJT impedance caling r E E Emitter Bypa apacitor mall-ignal Equivalent ect I b r V i E E A v 0 r ( r E g m v I br V g O m A v r r g m A. Kruger Frequency epone-33

34 A. Kruger Frequency epone-34 Bode Plot of Voltage Gain Magnitude: Emitter Bypa apacitor Both pole and zero in tranfer function Both pole and zero in tranfer function E E A E E E B r r ( m E v g r r A ( 0 m v g r r A

35 Two oupling apacitor and a Emitter Bypa apacitor ect an you identify the type amplifier? PNP, E Amplifier Tend to increae gain a f increae Better coupling a f increae A detailed analytical analyi i complex A. Kruger Frequency epone-35

36 PIE eult for Two oupling apacitor and a Emitter Bypa apacitor oncept: Dominant Pole A. Kruger Frequency epone-36

37 The evere-biaed pn Junction depletion (nonconductive p (conductive n (conductive evere voltage electric field aid built-in electric field => increae depletion region j j0 V V bi More general cae / 2 V V j j0 bi 0.5 j0 V V bi m j0 = junction capacitance at zero applied voltage Varactor or varicap diode Junction grading coefficient A. Kruger Frequency epone-37

38 Forward-Biaed Diode & Diffuion apacitance More refined mall-ignal model r d d g d dq dv Even more complete mall ignal model D V I T DQ Tranit time I D T V T g d T hange in minority carrier tored charge with time-varying voltage uperimpoed on dc quiecent voltage. The change in tored charge lead to a diode diffuion capacitance. Diffuion capacitance i normally much larger than junction capacitance r d j g d d V I V V I D T V T j0 T DQ bi m g d T A. Kruger Frequency epone-38

39 Junction & Diffuion apacitance j V V j0 bi Junction capacitance mjc Junction capacitance j V V j0 bi mje Diffuion capacitance aociated with current flowing through the baeemitter junction d I T V T g m T A. Kruger Frequency epone-39

40 Expanded Hybrid- Equivalent ircuit ect 7.4. ~ 00 ~ M ~ 2 Paraitic element A. Kruger Frequency epone-40

41 PIE NOT IN TEXT PIE ue more complex model ome PIE parameter match up with hybrid- parameter, while other don t A. Kruger Frequency epone-4

42 PIE NOT IN TEXT B J I JE E BF VAF ~ 2 A. Kruger Frequency epone-42

43 Expanded Hybrid- Equivalent ircuit ect 7.4. π i normally >> µ However, becaue of the feedback from to B the effect of µ can be much bigger than that of π Both π, and µ are function of Q-point A. Kruger Frequency epone-43

44 hort ircuit Gain Ignore effect of and oupling capacitor 0 urrent amplifier A. Kruger Frequency epone-44

45 A. Kruger Frequency epone-45 hort-ircuit urrent Gain: BJT Frequency epone ect ect V V r V I b KL at input KL at input KL at output KL at output g V I m c 0 V I V g m r g h I I A m fe b c i r r g r g h m m fe With typical value for µ and g m With typical value for µ and g m fe b c i h I I A

46 h fe g m r g m r r r ecall that at dc we ued, f 2 r ( f T f o Beta cutoff frequency Tranition frequency A. Kruger Frequency epone-46

47 Expanded Hybrid- Equivalent ircuit Quiz later ~ 00 ~ M ~ 2 Paraitic element A. Kruger Frequency epone-47

48 Miller Effect and Miller apacitance ect B B E E mall (~ pf, but can have ignificant effect on frequency repone B E A. Kruger Frequency epone-48

49 A. Kruger Frequency epone-49 V o j I V V j I V o 2 Thevenin Equivalent Thevenin Equivalent Norton Equivalent Norton Equivalent

50 For typical value for dicrete BJT, we can ignore thi A. Kruger Frequency epone-50

51 We tarted here and went through a equence of tranformation, which reulted in thi circuit Thi i a much impler circuit to analyze (why? I V o V V j g m o L j v V V o I j [ M Miller apacitance gm ( L ] V [ gm( L ] A. Kruger Frequency epone-5

52 For typical value for dicrete BJT, we can ignore thi M [ gm( L ] A. Kruger Frequency epone-52

53 Phyical Origin of Miller Effect ect Inverting amplifier g ( ] M [ m L Voltage gain from B to (i.e., acro μ? M voltage gain acro Anwer g m L ead ection A. Kruger Frequency epone-53

54 Inherent eitance and apacitance in n- hannel MOFET ect 7.5 mall mall mall g gd WL 2 ox A. Kruger Frequency epone-54

55 Equivalent ircuit for n-hannel ommon ource MOFET A. Kruger Frequency epone-55

56 Unity-Gain Bandwidth ect Unity gain-band width i defined a the frequency where the magnitude of the hort circuit current gain goe to. KL at input node KL at output node I i Vg j g V g j gd I d g m V g V g j gd A i I I d i g m j m j g j gd gd g g gd et to f T gm 2 ( g gd imilar to BJT f T gm 2 ( A. Kruger Frequency epone-56

57 MOFET Miller apacitance ect Inverting amplifier M gd [ g ml ] Voltage gain from G to D (i.e., acro gd? Anwer g m L A. Kruger Frequency epone-57

58 E Amplifier ( i imilar ect eq High-gain becaue of E Inverting amplifier Ue time contant technique: f H 2 [ r B ]( eq f H 2 p A. Kruger Frequency epone-58

59 PIE eult for ommon Emitter A. Kruger Frequency epone-59

60 B Amplifier (G i imilar ect Thee are NOT inverting amplifier. Thu, Miller no multiplication effect. A. Kruger Frequency epone-60

61 B Amplifier Equivalent output circuit f H 2 ( L Equivalent input circuit f H r 2 E Either one could determine bandwidth (normally μ egardle, higher bandwidth than E A. Kruger Frequency epone-6

62 acode ircuit E i an inverting amplifier => Miller effect preent E voltage gain ~ => low Miller effect A. Kruger Frequency epone-62

63 acode ircuit f H 2 r ( H B M 2 ( L 2 f Either one could determine bandwidth (normally μ Wide bandwidth A. Kruger Frequency epone-63

64 PIE eult for acode A. Kruger Frequency epone-64

65 Emitter-Follower ircuit (ource-follower i imilar A. Kruger Frequency epone-65

66 A. Kruger Frequency epone-66 ' ' ( 2 L m L m B H g r g f ' ' ( L m L m B p g r g Wide bandwidth Wide bandwidth ' ' ' ' L L L b gm gm r Z

67 PIE eult for Emitter Follower A. Kruger Frequency epone-67

68 Bode Plot Example A. Kruger Frequency epone-68

69 ,000 0, Two pole at 0 and one zero at,000 A. Kruger Frequency epone-69

70 , , , dB A. Kruger Frequency epone-70

71 , Two pole Active after 0-40 db/decade lope i 40 db decade A. Kruger Frequency epone-7

72 , One zero become active at,000 lope i 40 db decade lope i 20 db decade A. Kruger Frequency epone-72

73 , tan 0 tan 0 tan,000 lope i 40 db decade lope i 20 db decade A. Kruger Frequency epone-73

74 , tan 0 tan 0 tan,000 lope i 40 db decade lope i 20 db decade lope i 90 decade A. Kruger Frequency epone-74

75 , tan 0 tan 0 tan,000 lope i 40 db decade lope i 20 db decade lope i 90 decade A. Kruger Frequency epone-75

76 , tan 0 tan 0 tan,000 lope i 40 db decade lope i 20 db decade lope i 90 decade A. Kruger Frequency epone-76

77 , tan 0 tan 0 tan,000 lope i 40 db decade lope i 20 db decade lope i 90 decade lope i 45 decade A. Kruger Frequency epone-77

78 , tan 0 tan 0 tan,000 lope i 40 db decade lope i 20 db decade lope i 90 decade lope i 45 decade A. Kruger Frequency epone-78

79 , lope i 40 db decade lope i 20 db decade lope i 90 decade lope i 45 decade A. Kruger Frequency epone-79

80 Plotting Tranfer Function in Matlab A. Kruger Frequency epone-80

81 A. Kruger Frequency epone-8

82 A. Kruger Frequency epone-82

83 A. Kruger Frequency epone-83

84 A. Kruger Frequency epone-84

85 A. Kruger Frequency epone-85

86 A. Kruger Frequency epone-86

87 A. Kruger Frequency epone-87

55:041 Electronic Circuits

55:041 Electronic Circuits 55:04 Electronic ircuit Frequency eone hater 7 A. Kruger Frequency eone- ee age 4-5 o the Prologue in the text Imortant eview v = M co ωt + θ m = M e e j ωt+θ m = e M e jθ me jωt Thi lead to the concet

More information

Chapter 17 Amplifier Frequency Response

Chapter 17 Amplifier Frequency Response hapter 7 Amplifier Frequency epone Microelectronic ircuit Deign ichard. Jaeger Travi N. Blalock 8/0/0 hap 7- hapter Goal eview tranfer function analyi and dominant-pole approximation of amplifier tranfer

More information

Lecture 6: Resonance II. Announcements

Lecture 6: Resonance II. Announcements EES 5 Spring 4, Lecture 6 Lecture 6: Reonance II EES 5 Spring 4, Lecture 6 Announcement The lab tart thi week You mut how up for lab to tay enrolled in the coure. The firt lab i available on the web ite,

More information

Question 1 Equivalent Circuits

Question 1 Equivalent Circuits MAE 40 inear ircuit Fall 2007 Final Intruction ) Thi exam i open book You may ue whatever written material you chooe, including your cla note and textbook You may ue a hand calculator with no communication

More information

MAE140 Linear Circuits Fall 2012 Final, December 13th

MAE140 Linear Circuits Fall 2012 Final, December 13th MAE40 Linear Circuit Fall 202 Final, December 3th Intruction. Thi exam i open book. You may ue whatever written material you chooe, including your cla note and textbook. You may ue a hand calculator with

More information

Introduction to Laplace Transform Techniques in Circuit Analysis

Introduction to Laplace Transform Techniques in Circuit Analysis Unit 6 Introduction to Laplace Tranform Technique in Circuit Analyi In thi unit we conider the application of Laplace Tranform to circuit analyi. A relevant dicuion of the one-ided Laplace tranform i found

More information

EE105 - Fall 2005 Microelectronic Devices and Circuits

EE105 - Fall 2005 Microelectronic Devices and Circuits EE5 - Fall 5 Microelectronic Device and ircuit Lecture 9 Second-Order ircuit Amplifier Frequency Repone Announcement Homework 8 due tomorrow noon Lab 7 next week Reading: hapter.,.3. Lecture Material Lat

More information

into a discrete time function. Recall that the table of Laplace/z-transforms is constructed by (i) selecting to get

into a discrete time function. Recall that the table of Laplace/z-transforms is constructed by (i) selecting to get Lecture 25 Introduction to Some Matlab c2d Code in Relation to Sampled Sytem here are many way to convert a continuou time function, { h( t) ; t [0, )} into a dicrete time function { h ( k) ; k {0,,, }}

More information

CHAPTER 13 FILTERS AND TUNED AMPLIFIERS

CHAPTER 13 FILTERS AND TUNED AMPLIFIERS HAPTE FILTES AND TUNED AMPLIFIES hapter Outline. Filter Traniion, Type and Specification. The Filter Tranfer Function. Butterworth and hebyhev Filter. Firt Order and Second Order Filter Function.5 The

More information

Homework Assignment 08

Homework Assignment 08 Homework Assignment 08 Question 1 (Short Takes) Two points each unless otherwise indicated. 1. Give one phrase/sentence that describes the primary advantage of an active load. Answer: Large effective resistance

More information

R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder

R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder R. W. Erickon Department of Electrical, Computer, and Energy Engineering Univerity of Colorado, Boulder ZOH: Sampled Data Sytem Example v T Sampler v* H Zero-order hold H v o e = 1 T 1 v *( ) = v( jkω

More information

Lecture 4. Chapter 11 Nise. Controller Design via Frequency Response. G. Hovland 2004

Lecture 4. Chapter 11 Nise. Controller Design via Frequency Response. G. Hovland 2004 METR4200 Advanced Control Lecture 4 Chapter Nie Controller Deign via Frequency Repone G. Hovland 2004 Deign Goal Tranient repone via imple gain adjutment Cacade compenator to improve teady-tate error Cacade

More information

Digital Control System

Digital Control System Digital Control Sytem - A D D A Micro ADC DAC Proceor Correction Element Proce Clock Meaurement A: Analog D: Digital Continuou Controller and Digital Control Rt - c Plant yt Continuou Controller Digital

More information

ECE Linear Circuit Analysis II

ECE Linear Circuit Analysis II ECE 202 - Linear Circuit Analyi II Final Exam Solution December 9, 2008 Solution Breaking F into partial fraction, F 2 9 9 + + 35 9 ft δt + [ + 35e 9t ]ut A 9 Hence 3 i the correct anwer. Solution 2 ft

More information

R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder

R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder R. W. Erickon Department of Electrical, Computer, and Energy Engineering Univerity of Colorado, Boulder Cloed-loop buck converter example: Section 9.5.4 In ECEN 5797, we ued the CCM mall ignal model to

More information

5.5 Application of Frequency Response: Signal Filters

5.5 Application of Frequency Response: Signal Filters 44 Dynamic Sytem Second order lowpa filter having tranfer function H()=H ()H () u H () H () y Firt order lowpa filter Figure 5.5: Contruction of a econd order low-pa filter by combining two firt order

More information

55:041 Electronic Circuits The University of Iowa Fall Exam 2

55:041 Electronic Circuits The University of Iowa Fall Exam 2 Exam 2 Name: Score /60 Question 1 One point unless indicated otherwise. 1. An engineer measures the (step response) rise time of an amplifier as t r = 0.35 μs. Estimate the 3 db bandwidth of the amplifier.

More information

SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuits II. R 4 := 100 kohm

SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuits II. R 4 := 100 kohm SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuit II Solution to Aignment 3 February 2003. Cacaded Op Amp [DC&L, problem 4.29] An ideal op amp ha an output impedance of zero,

More information

NOTE: The items d) and e) of Question 4 gave you bonus marks.

NOTE: The items d) and e) of Question 4 gave you bonus marks. MAE 40 Linear ircuit Summer 2007 Final Solution NOTE: The item d) and e) of Quetion 4 gave you bonu mark. Quetion [Equivalent irciut] [4 mark] Find the equivalent impedance between terminal A and B in

More information

EE/ME/AE324: Dynamical Systems. Chapter 8: Transfer Function Analysis

EE/ME/AE324: Dynamical Systems. Chapter 8: Transfer Function Analysis EE/ME/AE34: Dynamical Sytem Chapter 8: Tranfer Function Analyi The Sytem Tranfer Function Conider the ytem decribed by the nth-order I/O eqn.: ( n) ( n 1) ( m) y + a y + + a y = b u + + bu n 1 0 m 0 Taking

More information

Chapter 9: Controller design. Controller design. Controller design

Chapter 9: Controller design. Controller design. Controller design Chapter 9. Controller Deign 9.. Introduction 9.2. Eect o negative eedback on the network traner unction 9.2.. Feedback reduce the traner unction rom diturbance to the output 9.2.2. Feedback caue the traner

More information

Lecture 17: Frequency Response of Amplifiers

Lecture 17: Frequency Response of Amplifiers ecture 7: Frequency epone of Aplifier Gu-Yeon Wei Diiion of Engineering and Applied Science Harard Unierity guyeon@eec.harard.edu Wei Oeriew eading S&S: Chapter 7 Ski ection ince otly decribed uing BJT

More information

ME 375 FINAL EXAM Wednesday, May 6, 2009

ME 375 FINAL EXAM Wednesday, May 6, 2009 ME 375 FINAL EXAM Wedneday, May 6, 9 Diviion Meckl :3 / Adam :3 (circle one) Name_ Intruction () Thi i a cloed book examination, but you are allowed three ingle-ided 8.5 crib heet. A calculator i NOT allowed.

More information

376 CHAPTER 6. THE FREQUENCY-RESPONSE DESIGN METHOD. D(s) = we get the compensated system with :

376 CHAPTER 6. THE FREQUENCY-RESPONSE DESIGN METHOD. D(s) = we get the compensated system with : 376 CHAPTER 6. THE FREQUENCY-RESPONSE DESIGN METHOD Therefore by applying the lead compenator with ome gain adjutment : D() =.12 4.5 +1 9 +1 we get the compenated ytem with : PM =65, ω c = 22 rad/ec, o

More information

Reference:W:\Lib\MathCAD\Default\defaults.mcd

Reference:W:\Lib\MathCAD\Default\defaults.mcd 4/9/9 Page of 5 Reference:W:\Lib\MathCAD\Default\default.mcd. Objective a. Motivation. Finite circuit peed, e.g. amplifier - effect on ignal. E.g. how "fat" an amp do we need for audio? For video? For

More information

SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuits II. Solutions to Assignment 3 February 2005.

SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuits II. Solutions to Assignment 3 February 2005. SIMON FRASER UNIVERSITY School of Engineering Science ENSC 320 Electric Circuit II Solution to Aignment 3 February 2005. Initial Condition Source 0 V battery witch flip at t 0 find i 3 (t) Component value:

More information

EE247 Lecture 10. Switched-Capacitor Integrator C

EE247 Lecture 10. Switched-Capacitor Integrator C EE247 Lecture 0 Switched-apacitor Filter Switched-capacitor integrator DDI integrator LDI integrator Effect of paraitic capacitance Bottom-plate integrator topology Reonator Bandpa filter Lowpa filter

More information

R L R L L sl C L 1 sc

R L R L L sl C L 1 sc 2260 N. Cotter PRACTICE FINAL EXAM SOLUTION: Prob 3 3. (50 point) u(t) V i(t) L - R v(t) C - The initial energy tored in the circuit i zero. 500 Ω L 200 mh a. Chooe value of R and C to accomplih the following:

More information

Designing Circuits Synthesis - Lego

Designing Circuits Synthesis - Lego Deigning Circuit Synthei Lego Port a pair of terminal to a cct Oneport cct; meaure I and at ame port I Drivingpoint impedance input impedance equiv impedance Twoport Tranfer function; meaure input at one

More information

ECE-343 Test 2: Mar 21, :00-8:00, Closed Book. Name : SOLUTION

ECE-343 Test 2: Mar 21, :00-8:00, Closed Book. Name : SOLUTION ECE-343 Test 2: Mar 21, 2012 6:00-8:00, Closed Book Name : SOLUTION 1. (25 pts) (a) Draw a circuit diagram for a differential amplifier designed under the following constraints: Use only BJTs. (You may

More information

General Topology of a single stage microwave amplifier

General Topology of a single stage microwave amplifier General Topology of a ingle tage microwave amplifier Tak of MATCH network (in and out): To preent at the active device uitable impedance Z and Z S Deign Step The deign of a mall ignal microwave amplifier

More information

Q.1 to Q.30 carry one mark each

Q.1 to Q.30 carry one mark each 1 Q.1 to Q. carry one mark each Q.1 Conider the network graph hown in figure below. Which one of the following i NOT a tree of thi graph? Q. The equivalent inductance meaured between the terminal 1 and

More information

Control Systems Engineering ( Chapter 7. Steady-State Errors ) Prof. Kwang-Chun Ho Tel: Fax:

Control Systems Engineering ( Chapter 7. Steady-State Errors ) Prof. Kwang-Chun Ho Tel: Fax: Control Sytem Engineering ( Chapter 7. Steady-State Error Prof. Kwang-Chun Ho kwangho@hanung.ac.kr Tel: 0-760-453 Fax:0-760-4435 Introduction In thi leon, you will learn the following : How to find the

More information

ESE319 Introduction to Microelectronics Bode Plot Review High Frequency BJT Model

ESE319 Introduction to Microelectronics Bode Plot Review High Frequency BJT Model Bode Plot Review High Frequency BJT Model 1 Logarithmic Frequency Response Plots (Bode Plots) Generic form of frequency response rational polynomial, where we substitute jω for s: H s=k sm a m 1 s m 1

More information

Function and Impulse Response

Function and Impulse Response Tranfer Function and Impule Repone Solution of Selected Unolved Example. Tranfer Function Q.8 Solution : The -domain network i hown in the Fig... Applying VL to the two loop, R R R I () I () L I () L V()

More information

Tuning of High-Power Antenna Resonances by Appropriately Reactive Sources

Tuning of High-Power Antenna Resonances by Appropriately Reactive Sources Senor and Simulation Note Note 50 Augut 005 Tuning of High-Power Antenna Reonance by Appropriately Reactive Source Carl E. Baum Univerity of New Mexico Department of Electrical and Computer Engineering

More information

The Measurement of DC Voltage Signal Using the UTI

The Measurement of DC Voltage Signal Using the UTI he Meaurement of DC Voltage Signal Uing the. INRODUCION can er an interface for many paive ening element, uch a, capacitor, reitor, reitive bridge and reitive potentiometer. By uing ome eternal component,

More information

online learning Unit Workbook 4 RLC Transients

online learning Unit Workbook 4 RLC Transients online learning Pearon BTC Higher National in lectrical and lectronic ngineering (QCF) Unit 5: lectrical & lectronic Principle Unit Workbook 4 in a erie of 4 for thi unit Learning Outcome: RLC Tranient

More information

1. /25 2. /30 3. /25 4. /20 Total /100

1. /25 2. /30 3. /25 4. /20 Total /100 Circuit Exam 2 Spring 206. /25 2. /30 3. /25 4. /20 Total /00 Name Pleae write your name at the top of every page! Note: ) If you are tuck on one part of the problem, chooe reaonable value on the following

More information

ECE382/ME482 Spring 2004 Homework 4 Solution November 14,

ECE382/ME482 Spring 2004 Homework 4 Solution November 14, ECE382/ME482 Spring 2004 Homework 4 Solution November 14, 2005 1 Solution to HW4 AP4.3 Intead of a contant or tep reference input, we are given, in thi problem, a more complicated reference path, r(t)

More information

Final Exam. 55:041 Electronic Circuits. The University of Iowa. Fall 2013.

Final Exam. 55:041 Electronic Circuits. The University of Iowa. Fall 2013. Final Exam Name: Max: 130 Points Question 1 In the circuit shown, the op-amp is ideal, except for an input bias current I b = 1 na. Further, R F = 10K, R 1 = 100 Ω and C = 1 μf. The switch is opened at

More information

Example: Amplifier Distortion

Example: Amplifier Distortion 4/6/2011 Example Amplifier Ditortion 1/9 Example: Amplifier Ditortion Recall thi circuit from a previou handout: 15.0 R C =5 K v ( t) = v ( t) o R B =5 K β = 100 _ vi( t ) 58. R E =5 K CUS We found that

More information

FUNDAMENTALS OF POWER SYSTEMS

FUNDAMENTALS OF POWER SYSTEMS 1 FUNDAMENTALS OF POWER SYSTEMS 1 Chapter FUNDAMENTALS OF POWER SYSTEMS INTRODUCTION The three baic element of electrical engineering are reitor, inductor and capacitor. The reitor conume ohmic or diipative

More information

I. Frequency Response of Voltage Amplifiers

I. Frequency Response of Voltage Amplifiers I. Frequency Response of Voltage Amplifiers A. Common-Emitter Amplifier: V i SUP i OUT R S V BIAS R L v OUT V Operating Point analysis: 0, R s 0, r o --->, r oc --->, R L ---> Find V BIAS such that I C

More information

ECEN620: Network Theory Broadband Circuit Design Fall 2018

ECEN620: Network Theory Broadband Circuit Design Fall 2018 ECEN60: Network Theory Broadband Circuit Deign Fall 08 Lecture 6: Loop Filter Circuit Sam Palermo Analog & Mixed-Signal Center Texa A&M Univerity Announcement HW i due Oct Require tranitor-level deign

More information

EECS240 Spring Lecture 13: Settling. Lingkai Kong Dept. of EECS

EECS240 Spring Lecture 13: Settling. Lingkai Kong Dept. of EECS EES240 Spring 203 Lecture 3: Settling Lingkai Kong Dept. of EES Settling Why intereted in ettling? Ocillocope: track input waveform without ringing AD (witchedcap amplifier): gain a ignal up by a precie

More information

6.302 Feedback Systems Recitation 6: Steady-State Errors Prof. Joel L. Dawson S -

6.302 Feedback Systems Recitation 6: Steady-State Errors Prof. Joel L. Dawson S - 6302 Feedback ytem Recitation 6: teadytate Error Prof Joel L Dawon A valid performance metric for any control ytem center around the final error when the ytem reache teadytate That i, after all initial

More information

CHAPTER.6 :TRANSISTOR FREQUENCY RESPONSE

CHAPTER.6 :TRANSISTOR FREQUENCY RESPONSE CHAPTER.6 :TRANSISTOR FREQUENCY RESPONSE To understand Decibels, log scale, general frequency considerations of an amplifier. low frequency analysis - Bode plot low frequency response BJT amplifier Miller

More information

March 18, 2014 Academic Year 2013/14

March 18, 2014 Academic Year 2013/14 POLITONG - SHANGHAI BASIC AUTOMATIC CONTROL Exam grade March 8, 4 Academic Year 3/4 NAME (Pinyin/Italian)... STUDENT ID Ue only thee page (including the back) for anwer. Do not ue additional heet. Ue of

More information

6.012 Electronic Devices and Circuits Spring 2005

6.012 Electronic Devices and Circuits Spring 2005 6.012 Electronic Devices and Circuits Spring 2005 May 16, 2005 Final Exam (200 points) -OPEN BOOK- Problem NAME RECITATION TIME 1 2 3 4 5 Total General guidelines (please read carefully before starting):

More information

SKEE 3143 CONTROL SYSTEM DESIGN. CHAPTER 3 Compensator Design Using the Bode Plot

SKEE 3143 CONTROL SYSTEM DESIGN. CHAPTER 3 Compensator Design Using the Bode Plot SKEE 3143 CONTROL SYSTEM DESIGN CHAPTER 3 Compenator Deign Uing the Bode Plot 1 Chapter Outline 3.1 Introduc4on Re- viit to Frequency Repone, ploang frequency repone, bode plot tability analyi. 3.2 Gain

More information

Department of Mechanical Engineering Massachusetts Institute of Technology Modeling, Dynamics and Control III Spring 2002

Department of Mechanical Engineering Massachusetts Institute of Technology Modeling, Dynamics and Control III Spring 2002 Department of Mechanical Engineering Maachuett Intitute of Technology 2.010 Modeling, Dynamic and Control III Spring 2002 SOLUTIONS: Problem Set # 10 Problem 1 Etimating tranfer function from Bode Plot.

More information

Section J8b: FET Low Frequency Response

Section J8b: FET Low Frequency Response ection J8b: FET ow Frequency epone In thi ection of our tudie, we re o to reiit the baic FET aplifier confiuration but with an additional twit The baic confiuration are the ae a we etiated ection J6 of

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial :. PT_EE_A+C_Control Sytem_798 Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubanewar olkata Patna Web: E-mail: info@madeeay.in Ph: -4546 CLASS TEST 8-9 ELECTRICAL ENGINEERING Subject

More information

Liquid cooling

Liquid cooling SKiiPPACK no. 3 4 [ 1- exp (-t/ τ )] + [( P + P )/P ] R [ 1- exp (-t/ τ )] Z tha tot3 = R ν ν tot1 tot tot3 thaa-3 aa 3 ν= 1 3.3.6. Liquid cooling The following table contain the characteritic R ν and

More information

Charge-Storage Elements: Base-Charging Capacitance C b

Charge-Storage Elements: Base-Charging Capacitance C b Charge-Storage Elements: Base-Charging Capacitance C b * Minority electrons are stored in the base -- this charge q NB is a function of the base-emitter voltage * base is still neutral... majority carriers

More information

Noise Figure Minimization of RC Polyphase Filters

Noise Figure Minimization of RC Polyphase Filters Noie Figure Mimization of olyphae Filter Jáno advánzky Abtract - ideband uppreion of polyphae filter i dependent of the ource and load impedance. Thi property i valid for any number of tage and any detung

More information

Module 4: Time Response of discrete time systems Lecture Note 1

Module 4: Time Response of discrete time systems Lecture Note 1 Digital Control Module 4 Lecture Module 4: ime Repone of dicrete time ytem Lecture Note ime Repone of dicrete time ytem Abolute tability i a baic requirement of all control ytem. Apart from that, good

More information

Solving Differential Equations by the Laplace Transform and by Numerical Methods

Solving Differential Equations by the Laplace Transform and by Numerical Methods 36CH_PHCalter_TechMath_95099 3//007 :8 PM Page Solving Differential Equation by the Laplace Tranform and by Numerical Method OBJECTIVES When you have completed thi chapter, you hould be able to: Find the

More information

Lecture 10 Filtering: Applied Concepts

Lecture 10 Filtering: Applied Concepts Lecture Filtering: Applied Concept In the previou two lecture, you have learned about finite-impule-repone (FIR) and infinite-impule-repone (IIR) filter. In thee lecture, we introduced the concept of filtering

More information

NAME (pinyin/italian)... MATRICULATION NUMBER... SIGNATURE

NAME (pinyin/italian)... MATRICULATION NUMBER... SIGNATURE POLITONG SHANGHAI BASIC AUTOMATIC CONTROL June Academic Year / Exam grade NAME (pinyin/italian)... MATRICULATION NUMBER... SIGNATURE Ue only thee page (including the bac) for anwer. Do not ue additional

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : LS_N_A_Network Theory_098 Delhi Noida Bhopal Hyderabad Jaipur Lucknow ndore Pune Bhubanewar Kolkata Patna Web: E-mail: info@madeeay.in Ph: 0-4546 CLASS TEST 08-9 NSTRUMENTATON ENGNEERNG Subject

More information

Chapter 4. The Laplace Transform Method

Chapter 4. The Laplace Transform Method Chapter 4. The Laplace Tranform Method The Laplace Tranform i a tranformation, meaning that it change a function into a new function. Actually, it i a linear tranformation, becaue it convert a linear combination

More information

Properties of Z-transform Transform 1 Linearity a

Properties of Z-transform Transform 1 Linearity a Midterm 3 (Fall 6 of EEG:. Thi midterm conit of eight ingle-ided page. The firt three page contain variou table followed by FOUR eam quetion and one etra workheet. You can tear out any page but make ure

More information

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web:     Ph: Serial : LS_B_EC_Network Theory_0098 CLASS TEST (GATE) Delhi Noida Bhopal Hyderabad Jaipur Lucknow ndore Pune Bhubanewar Kolkata Patna Web: E-mail: info@madeeay.in Ph: 0-4546 CLASS TEST 08-9 ELECTRONCS

More information

Schedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review.

Schedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review. Schedule Date Day lass No. 0 Nov Mon 0 Exam Review Nov Tue Title hapters HW Due date Nov Wed Boolean Algebra 3. 3.3 ab Due date AB 7 Exam EXAM 3 Nov Thu 4 Nov Fri Recitation 5 Nov Sat 6 Nov Sun 7 Nov Mon

More information

G(s) = 1 s by hand for! = 1, 2, 5, 10, 20, 50, and 100 rad/sec.

G(s) = 1 s by hand for! = 1, 2, 5, 10, 20, 50, and 100 rad/sec. 6003 where A = jg(j!)j ; = tan Im [G(j!)] Re [G(j!)] = \G(j!) 2. (a) Calculate the magnitude and phae of G() = + 0 by hand for! =, 2, 5, 0, 20, 50, and 00 rad/ec. (b) ketch the aymptote for G() according

More information

Digital Control System

Digital Control System Digital Control Sytem Summary # he -tranform play an important role in digital control and dicrete ignal proceing. he -tranform i defined a F () f(k) k () A. Example Conider the following equence: f(k)

More information

Lecture #9 Continuous time filter

Lecture #9 Continuous time filter Lecture #9 Continuou time filter Oliver Faut December 5, 2006 Content Review. Motivation......................................... 2 2 Filter pecification 2 2. Low pa..........................................

More information

( 1) EE 313 Linear Signals & Systems (Fall 2018) Solution Set for Homework #10 on Laplace Transforms

( 1) EE 313 Linear Signals & Systems (Fall 2018) Solution Set for Homework #10 on Laplace Transforms EE 33 Linear Signal & Sytem (Fall 08) Solution Set for Homework #0 on Laplace Tranform By: Mr. Houhang Salimian & Prof. Brian L. Evan Problem. a) xt () = ut () ut ( ) From lecture Lut { ()} = and { } t

More information

Refinements to Incremental Transistor Model

Refinements to Incremental Transistor Model Refinements to Incremental Transistor Model This section presents modifications to the incremental models that account for non-ideal transistor behavior Incremental output port resistance Incremental changes

More information

HIGHER-ORDER FILTERS. Cascade of Biquad Filters. Follow the Leader Feedback Filters (FLF) ELEN 622 (ESS)

HIGHER-ORDER FILTERS. Cascade of Biquad Filters. Follow the Leader Feedback Filters (FLF) ELEN 622 (ESS) HIGHER-ORDER FILTERS Cacade of Biquad Filter Follow the Leader Feedbac Filter (FLF) ELEN 6 (ESS) Than for ome of the material to David Hernandez Garduño CASCADE FILTER DESIGN N H ( ) Π H ( ) H ( ) H (

More information

Follow The Leader Architecture

Follow The Leader Architecture ECE 6(ESS) Follow The Leader Architecture 6 th Order Elliptic andpa Filter A numerical example Objective To deign a 6th order bandpa elliptic filter uing the Follow-the-Leader (FLF) architecture. The pecification

More information

ME 375 EXAM #1 Tuesday February 21, 2006

ME 375 EXAM #1 Tuesday February 21, 2006 ME 375 EXAM #1 Tueday February 1, 006 Diviion Adam 11:30 / Savran :30 (circle one) Name Intruction (1) Thi i a cloed book examination, but you are allowed one 8.5x11 crib heet. () You have one hour to

More information

What lies between Δx E, which represents the steam valve, and ΔP M, which is the mechanical power into the synchronous machine?

What lies between Δx E, which represents the steam valve, and ΔP M, which is the mechanical power into the synchronous machine? A 2.0 Introduction In the lat et of note, we developed a model of the peed governing mechanim, which i given below: xˆ K ( Pˆ ˆ) E () In thee note, we want to extend thi model o that it relate the actual

More information

Assignment 3 ELEC 312/Winter 12 R.Raut, Ph.D.

Assignment 3 ELEC 312/Winter 12 R.Raut, Ph.D. Page 1 of 3 ELEC 312: ELECTRONICS II : ASSIGNMENT-3 Department of Electrical and Computer Engineering Winter 2012 1. A common-emitter amplifier that can be represented by the following equivalent circuit,

More information

ME 375 FINAL EXAM SOLUTIONS Friday December 17, 2004

ME 375 FINAL EXAM SOLUTIONS Friday December 17, 2004 ME 375 FINAL EXAM SOLUTIONS Friday December 7, 004 Diviion Adam 0:30 / Yao :30 (circle one) Name Intruction () Thi i a cloed book eamination, but you are allowed three 8.5 crib heet. () You have two hour

More information

Linearteam tech paper. The analysis of fourth-order state variable filter and it s application to Linkwitz- Riley filters

Linearteam tech paper. The analysis of fourth-order state variable filter and it s application to Linkwitz- Riley filters Linearteam tech paper The analyi of fourth-order tate variable filter and it application to Linkwitz- iley filter Janne honen 5.. TBLE OF CONTENTS. NTOCTON.... FOTH-OE LNWTZ-LEY (L TNSFE FNCTON.... TNSFE

More information

MOSFET Models. The basic MOSFET model consist of: We will calculate dc current I D for different applied voltages.

MOSFET Models. The basic MOSFET model consist of: We will calculate dc current I D for different applied voltages. MOSFET Model The baic MOSFET model conit of: junction capacitance CBS and CB between ource (S) to body (B) and drain to B, repectively. overlap capacitance CGO and CGSO due to gate (G) to S and G to overlap,

More information

BASIC INDUCTION MOTOR CONCEPTS

BASIC INDUCTION MOTOR CONCEPTS INDUCTION MOTOS An induction motor ha the ame phyical tator a a ynchronou machine, with a different rotor contruction. There are two different type of induction motor rotor which can be placed inide the

More information

Design of Digital Filters

Design of Digital Filters Deign of Digital Filter Paley-Wiener Theorem [ ] ( ) If h n i a caual energy ignal, then ln H e dω< B where B i a finite upper bound. One implication of the Paley-Wiener theorem i that a tranfer function

More information

ECE-202 Exam 1 January 31, Name: (Please print clearly.) CIRCLE YOUR DIVISION DeCarlo DeCarlo 7:30 MWF 1:30 TTH

ECE-202 Exam 1 January 31, Name: (Please print clearly.) CIRCLE YOUR DIVISION DeCarlo DeCarlo 7:30 MWF 1:30 TTH ECE-0 Exam January 3, 08 Name: (Pleae print clearly.) CIRCLE YOUR DIVISION 0 0 DeCarlo DeCarlo 7:30 MWF :30 TTH INSTRUCTIONS There are multiple choice worth 5 point each and workout problem worth 40 point.

More information

ECE-202 FINAL December 13, 2016 CIRCLE YOUR DIVISION

ECE-202 FINAL December 13, 2016 CIRCLE YOUR DIVISION ECE-202 Final, Fall 16 1 ECE-202 FINAL December 13, 2016 Name: (Pleae print clearly.) Student Email: CIRCLE YOUR DIVISION DeCarlo- 8:30-9:30 Talavage-9:30-10:30 2021 2022 INSTRUCTIONS There are 35 multiple

More information

Correction for Simple System Example and Notes on Laplace Transforms / Deviation Variables ECHE 550 Fall 2002

Correction for Simple System Example and Notes on Laplace Transforms / Deviation Variables ECHE 550 Fall 2002 Correction for Simple Sytem Example and Note on Laplace Tranform / Deviation Variable ECHE 55 Fall 22 Conider a tank draining from an initial height of h o at time t =. With no flow into the tank (F in

More information

SERIES COMPENSATION: VOLTAGE COMPENSATION USING DVR (Lectures 41-48)

SERIES COMPENSATION: VOLTAGE COMPENSATION USING DVR (Lectures 41-48) Chapter 5 SERIES COMPENSATION: VOLTAGE COMPENSATION USING DVR (Lecture 41-48) 5.1 Introduction Power ytem hould enure good quality of electric power upply, which mean voltage and current waveform hould

More information

Chapter 2 Sampling and Quantization. In order to investigate sampling and quantization, the difference between analog

Chapter 2 Sampling and Quantization. In order to investigate sampling and quantization, the difference between analog Chapter Sampling and Quantization.1 Analog and Digital Signal In order to invetigate ampling and quantization, the difference between analog and digital ignal mut be undertood. Analog ignal conit of continuou

More information

EE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject

EE 508 Lecture 16. Filter Transformations. Lowpass to Bandpass Lowpass to Highpass Lowpass to Band-reject EE 508 Lecture 6 Filter Tranformation Lowpa to Bandpa Lowpa to Highpa Lowpa to Band-reject Review from Lat Time Theorem: If the perimeter variation and contact reitance are neglected, the tandard deviation

More information

FET Small-Signal Analysis

FET Small-Signal Analysis CHAPTER FET mall-ignal Analysis 9 9.1 INTROUCTION Field-effect transistor amplifiers provide an excellent voltage gain with the added feature of a high input impedance. They are also considered low-power

More information

Electronic Devices and Circuits Lecture 18 - Single Transistor Amplifier Stages - Outline Announcements. Notes on Single Transistor Amplifiers

Electronic Devices and Circuits Lecture 18 - Single Transistor Amplifier Stages - Outline Announcements. Notes on Single Transistor Amplifiers 6.012 Electronic Devices and Circuits Lecture 18 Single Transistor Amplifier Stages Outline Announcements Handouts Lecture Outline and Summary Notes on Single Transistor Amplifiers Exam 2 Wednesday night,

More information

Coupling of Three-Phase Sequence Circuits Due to Line and Load Asymmetries

Coupling of Three-Phase Sequence Circuits Due to Line and Load Asymmetries Coupling of Three-Phae Sequence Circuit Due to Line and Load Aymmetrie DEGO BELLAN Department of Electronic nformation and Bioengineering Politecnico di Milano Piazza Leonardo da inci 01 Milano TALY diego.ellan@polimi.it

More information

Lecture 12 - Non-isolated DC-DC Buck Converter

Lecture 12 - Non-isolated DC-DC Buck Converter ecture 12 - Non-iolated DC-DC Buck Converter Step-Down or Buck converter deliver DC power from a higher voltage DC level ( d ) to a lower load voltage o. d o ene ref + o v c Controller Figure 12.1 The

More information

ECE137B Final Exam. Wednesday 6/8/2016, 7:30-10:30PM.

ECE137B Final Exam. Wednesday 6/8/2016, 7:30-10:30PM. ECE137B Final Exam Wednesday 6/8/2016, 7:30-10:30PM. There are7 problems on this exam and you have 3 hours There are pages 1-32 in the exam: please make sure all are there. Do not open this exam until

More information

Design By Emulation (Indirect Method)

Design By Emulation (Indirect Method) Deign By Emulation (Indirect Method he baic trategy here i, that Given a continuou tranfer function, it i required to find the bet dicrete equivalent uch that the ignal produced by paing an input ignal

More information

ECE-342 Test 3: Nov 30, :00-8:00, Closed Book. Name : Solution

ECE-342 Test 3: Nov 30, :00-8:00, Closed Book. Name : Solution ECE-342 Test 3: Nov 30, 2010 6:00-8:00, Closed Book Name : Solution All solutions must provide units as appropriate. Unless otherwise stated, assume T = 300 K. 1. (25 pts) Consider the amplifier shown

More information

Section Induction motor drives

Section Induction motor drives Section 5.1 - nduction motor drive Electric Drive Sytem 5.1.1. ntroduction he AC induction motor i by far the mot widely ued motor in the indutry. raditionally, it ha been ued in contant and lowly variable-peed

More information

CE/CS Amplifier Response at High Frequencies

CE/CS Amplifier Response at High Frequencies .. CE/CS Amplifier Response at High Frequencies INEL 4202 - Manuel Toledo August 20, 2012 INEL 4202 - Manuel Toledo CE/CS High Frequency Analysis 1/ 24 Outline.1 High Frequency Models.2 Simplified Method.3

More information

EE C128 / ME C134 Problem Set 1 Solution (Fall 2010) Wenjie Chen and Jansen Sheng, UC Berkeley

EE C128 / ME C134 Problem Set 1 Solution (Fall 2010) Wenjie Chen and Jansen Sheng, UC Berkeley EE C28 / ME C34 Problem Set Solution (Fall 200) Wenjie Chen and Janen Sheng, UC Berkeley. (0 pt) BIBO tability The ytem h(t) = co(t)u(t) i not BIBO table. What i the region of convergence for H()? A bounded

More information

Chapter 2: Problem Solutions

Chapter 2: Problem Solutions Chapter 2: Solution Dicrete Time Proceing of Continuou Time Signal Sampling à 2.. : Conider a inuoidal ignal and let u ample it at a frequency F 2kHz. xt 3co000t 0. a) Determine and expreion for the ampled

More information

MOS electrostatic: Quantitative analysis

MOS electrostatic: Quantitative analysis MOS electrotatic: Quantitative analyi In thi cla, we will Derive analytical expreion for the charge denity, electric field and the electrotatic potential. xpreion for the depletion layer width Decribe

More information

EE 330. Lecture 35. Parasitic Capacitances in MOS Devices

EE 330. Lecture 35. Parasitic Capacitances in MOS Devices EE 330 Lecture 35 Parasitic Capacitances in MOS Devices Exam 2 Wed Oct 24 Exam 3 Friday Nov 16 Review from Last Lecture Cascode Configuration Discuss V CC gm1 gm1 I B VCC V OUT g02 g01 A - β β VXX Q 2

More information