Frequency Response part 2 (I&N Chap 12)
|
|
- Adele Booker
- 6 years ago
- Views:
Transcription
1 Frequency Response part 2 (I&N Chap 12) Introduction & TFs Decibel Scale & Bode Plots Resonance Scaling Filter Networks Applications/Design Frequency response; based on slides by J. Yan Slide 3.1
2 Example Draw the Bode plot for H ( s ) = 50s ( s + 4)( s + ) 2 Magnitude (db) Phase (deg) J.Yan, EECE 253: Variable Slide 3.2
3 Draw the Bode plot for H ( s) = 2 s 20 Example s s + 0 Magnitude (db) Phase (deg) Slide 3.3
4 Example Draw the Bode plot for H ( s) = 4 ( s + 2) ( s + )( s + 0) Slide 3.4
5 Example: Magnitude Plot TF What is H(s) for the following magnitude sketch? Slide 3.5
6 Example: Magnitude Plot TF What is H(s) for the following magnitude sketch? Slide 3.6
7 Matlab Bode Plots Matlab can conveniently generate bode plots. 5( s + 2) Example : Recall the TF from slide 3.22 : H ( s) = s( s + ) Sample session: >> num=[5 ]; >> den=conv([1 0],[1 ]) den = 1 0 >> H=tf(num,den) Transfer function: 5 s s^2 + s >> bode(h) >> grid on >> Magnitude (db) Phase (deg) Bode Diagram (purple text typed by user) Frequency (rad/sec) Slide 3.7
8 Bode Plots Q&A Q :On the Bode magnitude plot, for large values of ω, what is the slope if the transfer function is H ( s) = 1 (5 + s) 2? Q : What can you say about the poles and zeros of a TF if the magnitude plot starts with a slope of 40dB/decade and ends with - 40dB/decade? Q : If m + n = 3 (i.e., # of zeros+ # of poles), what can you say about the number of slope changes in the magnitude plot approximation? Slide 3.8
9 Resonance in RLC Circuits Resonant frequency: the frequency, w 0, for which capacitive and inductive reactances are equal in magnitude, resulting in a purely resistive impedance. When the circuit is operated at w 0, it is said to be in resonance. The series and parallel RLC circuits are duals. Let s analyse resonance for the series case. Slide 3.9
10 Series RLC Circuits For the series RLC circuit let s look for the resonant frequency and see what we can say about the characteristics. Slide 3.
11 Series RLC and Quality Factor 1 Resonance occurs at ω0 = ωn = for which Z( jωn) = R is purely resistive. LC WS For resonant circuits, the quality factor can be defined by: Q = 2π W where W = maximum stored energy and W = energy dissipated per cycle. S Let's express Q in terms of the component values. D D Slide 3.11
12 Series RLC Bandwidth 1 Define"bandwidth" using - power frequencies (magnitude 2 1 across resistor drops to of the maximum value). 2 Slide 3.12
13 More on the Q Factor Q is often used as a measure of frequency selectivity, especially for filters. Slide 3.13
14 Series vs Parallel RLC Circuits Series RLC + v r (t) R v s (t) + L C v c (t) + + v L (t) Parallel RLC i s (t) R L C Slide 3.14
15 Example In a series RLC circuit with R=4Ω and L=25 mh, calculate the value of C to provide Q=50. Find the resulting BW, ω Lo and ω Hi. Finally, taking V m =0 V, determine the average power dissipated at ω o, ω Lo, and ω Hi. Slide 3.15
16 Compute the circuit resonant frequency: Example Slide 3.16
17 Q&A Q: Does resonance always occur when the impedance magnitude is a minimum? Q: What are applications where high-q electrical resonance is desired? Q: What are applications where high-q electrical resonance is avoided? Slide 3.17
18 Caveat (for other fields) Unfortunately, there are at least 3 commonly accepted definitions of resonance that can lead to subtly different results: 1) In keeping with the text, we say circuit resonance occurs when the driving point impedance is purely real. 2) Resonance is the phenomenon of a peak in the TF magnitude plot. This is the def n used in many other fields (e.g., see how Wikipedia defines this phenomenon). Some analogies break down unless the specific type of TF is specified. 3) Circuit resonance occurs when the inductive and capacitive components of any 2 nd order term in the driving point impedance cancel out. This is simply the natural frequency of each 2 nd order term. Slide 3.18
EE221 Circuits II. Chapter 14 Frequency Response
EE22 Circuits II Chapter 4 Frequency Response Frequency Response Chapter 4 4. Introduction 4.2 Transfer Function 4.3 Bode Plots 4.4 Series Resonance 4.5 Parallel Resonance 4.6 Passive Filters 4.7 Active
More informationEE221 Circuits II. Chapter 14 Frequency Response
EE22 Circuits II Chapter 4 Frequency Response Frequency Response Chapter 4 4. Introduction 4.2 Transfer Function 4.3 Bode Plots 4.4 Series Resonance 4.5 Parallel Resonance 4.6 Passive Filters 4.7 Active
More informationPoles and Zeros and Transfer Functions
Poles and Zeros and Transfer Functions Transfer Function: Considerations: Factorization: A transfer function is defined as the ratio of the Laplace transform of the output to the input with all initial
More informationMODULE-4 RESONANCE CIRCUITS
Introduction: MODULE-4 RESONANCE CIRCUITS Resonance is a condition in an RLC circuit in which the capacitive and inductive Reactance s are equal in magnitude, there by resulting in purely resistive impedance.
More informationRLC Series Circuit. We can define effective resistances for capacitors and inductors: 1 = Capacitive reactance:
RLC Series Circuit In this exercise you will investigate the effects of changing inductance, capacitance, resistance, and frequency on an RLC series AC circuit. We can define effective resistances for
More information8.1.6 Quadratic pole response: resonance
8.1.6 Quadratic pole response: resonance Example G(s)= v (s) v 1 (s) = 1 1+s L R + s LC L + Second-order denominator, of the form 1+a 1 s + a s v 1 (s) + C R Two-pole low-pass filter example v (s) with
More informationDesigning Information Devices and Systems II Fall 2018 Elad Alon and Miki Lustig Discussion 5A
EECS 6B Designing Information Devices and Systems II Fall 208 Elad Alon and Miki Lustig Discussion 5A Transfer Function When we write the transfer function of an arbitrary circuit, it always takes the
More informationOverview of Bode Plots Transfer function review Piece-wise linear approximations First-order terms Second-order terms (complex poles & zeros)
Overview of Bode Plots Transfer function review Piece-wise linear approximations First-order terms Second-order terms (complex poles & zeros) J. McNames Portland State University ECE 222 Bode Plots Ver.
More informationELEC 2501 AB. Come to the PASS workshop with your mock exam complete. During the workshop you can work with other students to review your work.
It is most beneficial to you to write this mock midterm UNDER EXAM CONDITIONS. This means: Complete the midterm in 3 hour(s). Work on your own. Keep your notes and textbook closed. Attempt every question.
More informationR. 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 8.1. Review of Bode plots Decibels Table 8.1. Expressing magnitudes in decibels G db = 0 log 10
More informationESE319 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 informationDynamic circuits: Frequency domain analysis
Electronic Circuits 1 Dynamic circuits: Contents Free oscillation and natural frequency Transfer functions Frequency response Bode plots 1 System behaviour: overview 2 System behaviour : review solution
More informationRLC Circuit (3) We can then write the differential equation for charge on the capacitor. The solution of this differential equation is
RLC Circuit (3) We can then write the differential equation for charge on the capacitor The solution of this differential equation is (damped harmonic oscillation!), where 25 RLC Circuit (4) If we charge
More informationBIOEN 302, Section 3: AC electronics
BIOEN 3, Section 3: AC electronics For this section, you will need to have very present the basics of complex number calculus (see Section for a brief overview) and EE5 s section on phasors.. Representation
More informationProblem Weight Score Total 100
EE 350 EXAM IV 15 December 2010 Last Name (Print): First Name (Print): ID number (Last 4 digits): Section: DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 25 2 25 3 25 4 25 Total
More informationSolution: K m = R 1 = 10. From the original circuit, Z L1 = jωl 1 = j10 Ω. For the scaled circuit, L 1 = jk m ωl 1 = j10 10 = j100 Ω, Z L
Problem 9.9 Circuit (b) in Fig. P9.9 is a scaled version of circuit (a). The scaling process may have involved magnitude or frequency scaling, or both simultaneously. If R = kω gets scaled to R = kω, supply
More informationAC Circuits Homework Set
Problem 1. In an oscillating LC circuit in which C=4.0 μf, the maximum potential difference across the capacitor during the oscillations is 1.50 V and the maximum current through the inductor is 50.0 ma.
More informationAC Source and RLC Circuits
X X L C = 2π fl = 1/2π fc 2 AC Source and RLC Circuits ( ) 2 Inductive reactance Capacitive reactance Z = R + X X Total impedance L C εmax Imax = Z XL XC tanφ = R Maximum current Phase angle PHY2054: Chapter
More informationElectromagnetic Oscillations and Alternating Current. 1. Electromagnetic oscillations and LC circuit 2. Alternating Current 3.
Electromagnetic Oscillations and Alternating Current 1. Electromagnetic oscillations and LC circuit 2. Alternating Current 3. RLC circuit in AC 1 RL and RC circuits RL RC Charging Discharging I = emf R
More informationEECE 301 Signals & Systems Prof. Mark Fowler
EECE 301 Signals & Systems Prof. Mark Fowler C-T Systems: Bode Plots Note Set #36 1/14 What are Bode Plots? Bode Plot = Freq. Resp. plotted with H() in db on a log frequency axis. Its easy to use computers
More informationAlternating Current Circuits
Alternating Current Circuits AC Circuit An AC circuit consists of a combination of circuit elements and an AC generator or source. The output of an AC generator is sinusoidal and varies with time according
More information6.1 Introduction
6. Introduction A.C Circuits made up of resistors, inductors and capacitors are said to be resonant circuits when the current drawn from the supply is in phase with the impressed sinusoidal voltage. Then.
More informationSingle-Time-Constant (STC) Circuits This lecture is given as a background that will be needed to determine the frequency response of the amplifiers.
Single-Time-Constant (STC) Circuits This lecture is given as a background that will be needed to determine the frequency response of the amplifiers. Objectives To analyze and understand STC circuits with
More informationPhysics 4B Chapter 31: Electromagnetic Oscillations and Alternating Current
Physics 4B Chapter 31: Electromagnetic Oscillations and Alternating Current People of mediocre ability sometimes achieve outstanding success because they don't know when to quit. Most men succeed because
More informationCHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION
CHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION Objectives Students should be able to: Draw the bode plots for first order and second order system. Determine the stability through the bode plots.
More informationTo investigate further the series LCR circuit, especially around the point of minimum impedance. 1 Electricity & Electronics Constructor EEC470
Series esonance OBJECTIE To investigate further the series LC circuit, especially around the point of minimum impedance. EQUIPMENT EQUIED Qty Apparatus Electricity & Electronics Constructor EEC470 Basic
More informationEE 40: Introduction to Microelectronic Circuits Spring 2008: Midterm 2
EE 4: Introduction to Microelectronic Circuits Spring 8: Midterm Venkat Anantharam 3/9/8 Total Time Allotted : min Total Points:. This is a closed book exam. However, you are allowed to bring two pages
More informationGeneral Physics (PHY 2140)
General Physics (PHY 2140) Lecture 10 6/12/2007 Electricity and Magnetism Induced voltages and induction Self-Inductance RL Circuits Energy in magnetic fields AC circuits and EM waves Resistors, capacitors
More informationELECTROMAGNETIC OSCILLATIONS AND ALTERNATING CURRENT
Chapter 31: ELECTROMAGNETIC OSCILLATIONS AND ALTERNATING CURRENT 1 A charged capacitor and an inductor are connected in series At time t = 0 the current is zero, but the capacitor is charged If T is the
More informationSinusoidal Steady-State Analysis
Chapter 4 Sinusoidal Steady-State Analysis In this unit, we consider circuits in which the sources are sinusoidal in nature. The review section of this unit covers most of section 9.1 9.9 of the text.
More informationHandout 11: AC circuit. AC generator
Handout : AC circuit AC generator Figure compares the voltage across the directcurrent (DC) generator and that across the alternatingcurrent (AC) generator For DC generator, the voltage is constant For
More informationELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 2010/2011 CONTROL ENGINEERING SHEET 5 Lead-Lag Compensation Techniques
CAIRO UNIVERSITY FACULTY OF ENGINEERING ELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 00/0 CONTROL ENGINEERING SHEET 5 Lead-Lag Compensation Techniques [] For the following system, Design a compensator such
More information1 Phasors and Alternating Currents
Physics 4 Chapter : Alternating Current 0/5 Phasors and Alternating Currents alternating current: current that varies sinusoidally with time ac source: any device that supplies a sinusoidally varying potential
More informationPhysics 115. AC circuits Reactances Phase relationships Evaluation. General Physics II. Session 35. R. J. Wilkes
Session 35 Physics 115 General Physics II AC circuits Reactances Phase relationships Evaluation R. J. Wilkes Email: phy115a@u.washington.edu 06/05/14 1 Lecture Schedule Today 2 Announcements Please pick
More informationBasic RL and RC Circuits R-L TRANSIENTS: STORAGE CYCLE. Engineering Collage Electrical Engineering Dep. Dr. Ibrahim Aljubouri
st Class Basic RL and RC Circuits The RL circuit with D.C (steady state) The inductor is short time at Calculate the inductor current for circuits shown below. I L E R A I L E R R 3 R R 3 I L I L R 3 R
More informationOscillations and Electromagnetic Waves. March 30, 2014 Chapter 31 1
Oscillations and Electromagnetic Waves March 30, 2014 Chapter 31 1 Three Polarizers! Consider the case of unpolarized light with intensity I 0 incident on three polarizers! The first polarizer has a polarizing
More informationAlternating Current Circuits. Home Work Solutions
Chapter 21 Alternating Current Circuits. Home Work s 21.1 Problem 21.11 What is the time constant of the circuit in Figure (21.19). 10 Ω 10 Ω 5.0 Ω 2.0µF 2.0µF 2.0µF 3.0µF Figure 21.19: Given: The circuit
More informationBasic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 9-14, 2011
Basic Electronics Introductory Lecture Course for Technology and Instrumentation in Particle Physics 2011 Chicago, Illinois June 9-14, 2011 Presented By Gary Drake Argonne National Laboratory Session 2
More informationHomework 7 - Solutions
Homework 7 - Solutions Note: This homework is worth a total of 48 points. 1. Compensators (9 points) For a unity feedback system given below, with G(s) = K s(s + 5)(s + 11) do the following: (c) Find the
More informationLinear System Theory
Linear System Theory - Laplace Transform Prof. Robert X. Gao Department of Mechanical Engineering University of Connecticut Storrs, CT 06269 Outline What we ve learned so far: Setting up Modeling Equations
More information(amperes) = (coulombs) (3.1) (seconds) Time varying current. (volts) =
3 Electrical Circuits 3. Basic Concepts Electric charge coulomb of negative change contains 624 0 8 electrons. Current ampere is a steady flow of coulomb of change pass a given point in a conductor in
More informationFrequency Response Analysis
Frequency Response Analysis Consider let the input be in the form Assume that the system is stable and the steady state response of the system to a sinusoidal inputdoes not depend on the initial conditions
More informationLECTURE 21: Butterworh & Chebeyshev BP Filters. Part 1: Series and Parallel RLC Circuits On NOT Again
LECTURE : Butterworh & Chebeyshev BP Filters Part : Series and Parallel RLC Circuits On NOT Again. RLC Admittance/Impedance Transfer Functions EXAMPLE : Series RLC. H(s) I out (s) V in (s) Y in (s) R Ls
More informationRadar Dish. Armature controlled dc motor. Inside. θ r input. Outside. θ D output. θ m. Gearbox. Control Transmitter. Control. θ D.
Radar Dish ME 304 CONTROL SYSTEMS Mechanical Engineering Department, Middle East Technical University Armature controlled dc motor Outside θ D output Inside θ r input r θ m Gearbox Control Transmitter
More informationChapter 10 Feedback. PART C: Stability and Compensation
1 Chapter 10 Feedback PART C: Stability and Compensation Example: Non-inverting Amplifier We are analyzing the two circuits (nmos diff pair or pmos diff pair) to realize this symbol: either of the circuits
More informationAssessment Schedule 2015 Physics: Demonstrate understanding of electrical systems (91526)
NCEA Level 3 Physics (91526) 2015 page 1 of 6 Assessment Schedule 2015 Physics: Demonstrate understanding of electrical systems (91526) Evidence Q Evidence Achievement Achievement with Merit Achievement
More informationI. 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 informationElectrical Circuits Lab Series RC Circuit Phasor Diagram
Electrical Circuits Lab. 0903219 Series RC Circuit Phasor Diagram - Simple steps to draw phasor diagram of a series RC circuit without memorizing: * Start with the quantity (voltage or current) that is
More informationLecture 9 Time Domain vs. Frequency Domain
. Topics covered Lecture 9 Time Domain vs. Frequency Domain (a) AC power in the time domain (b) AC power in the frequency domain (c) Reactive power (d) Maximum power transfer in AC circuits (e) Frequency
More informationBerkeley. Matching Networks. Prof. Ali M. Niknejad. U.C. Berkeley Copyright c 2016 by Ali M. Niknejad
Berkeley Matching Networks Prof. Ali M. Niknejad U.C. Berkeley Copyright c 2016 by Ali M. Niknejad February 9, 2016 1 / 33 Impedance Matching R S i i i o Z in + v i Matching Network + v o Z out RF design
More informationSinusoidal Response of RLC Circuits
Sinusoidal Response of RLC Circuits Series RL circuit Series RC circuit Series RLC circuit Parallel RL circuit Parallel RC circuit R-L Series Circuit R-L Series Circuit R-L Series Circuit Instantaneous
More informationSystems Analysis and Control
Systems Analysis and Control Matthew M. Peet Arizona State University Lecture 24: Compensation in the Frequency Domain Overview In this Lecture, you will learn: Lead Compensators Performance Specs Altering
More informationECE382/ME482 Spring 2005 Homework 6 Solution April 17, (s/2 + 1) s(2s + 1)[(s/8) 2 + (s/20) + 1]
ECE382/ME482 Spring 25 Homework 6 Solution April 17, 25 1 Solution to HW6 P8.17 We are given a system with open loop transfer function G(s) = 4(s/2 + 1) s(2s + 1)[(s/8) 2 + (s/2) + 1] (1) and unity negative
More informationPhysics 240 Fall 2005: Exam #3. Please print your name: Please list your discussion section number: Please list your discussion instructor:
Physics 240 Fall 2005: Exam #3 Please print your name: Please list your discussion section number: Please list your discussion instructor: Form #1 Instructions 1. Fill in your name above 2. This will be
More informationNETWORK ANALYSIS ( ) 2012 pattern
PRACTICAL WORK BOOK For Academic Session 0 NETWORK ANALYSIS ( 0347 ) 0 pattern For S.E. (Electrical Engineering) Department of Electrical Engineering (University of Pune) SHREE RAMCHANDRA COLLEGE OF ENGG.
More informationRLC Circuits. 1 Introduction. 1.1 Undriven Systems. 1.2 Driven Systems
RLC Circuits Equipment: Capstone, 850 interface, RLC circuit board, 4 leads (91 cm), 3 voltage sensors, Fluke mulitmeter, and BNC connector on one end and banana plugs on the other Reading: Review AC circuits
More informationLecture 16 FREQUENCY RESPONSE OF SIMPLE CIRCUITS
Lecture 6 FREQUENCY RESPONSE OF SIMPLE CIRCUITS Ray DeCarlo School of ECE Purdue University West Lafayette, IN 47907-285 decarlo@ecn.purdue.edu EE-202, Frequency Response p 2 R. A. DeCarlo I. WHAT IS FREQUENCY
More informationBfh Ti Control F Ws 2008/2009 Lab Matlab-1
Bfh Ti Control F Ws 2008/2009 Lab Matlab-1 Theme: The very first steps with Matlab. Goals: After this laboratory you should be able to solve simple numerical engineering problems with Matlab. Furthermore,
More informationCourse Updates. Reminders: 1) Assignment #10 due Today. 2) Quiz # 5 Friday (Chap 29, 30) 3) Start AC Circuits
ourse Updates http://www.phys.hawaii.edu/~varner/phys272-spr10/physics272.html eminders: 1) Assignment #10 due Today 2) Quiz # 5 Friday (hap 29, 30) 3) Start A ircuits Alternating urrents (hap 31) In this
More informationH(s) = 2(s+10)(s+100) (s+1)(s+1000)
Problem 1 Consider the following transfer function H(s) = 2(s10)(s100) (s1)(s1000) (a) Draw the asymptotic magnitude Bode plot for H(s). Solution: The transfer function is not in standard form to sketch
More informationSingle Phase Parallel AC Circuits
Single Phase Parallel AC Circuits 1 Single Phase Parallel A.C. Circuits (Much of this material has come from Electrical & Electronic Principles & Technology by John Bird) n parallel a.c. circuits similar
More informationChapter 33. Alternating Current Circuits
Chapter 33 Alternating Current Circuits 1 Capacitor Resistor + Q = C V = I R R I + + Inductance d I Vab = L dt AC power source The AC power source provides an alternative voltage, Notation - Lower case
More informationFrequency Response. Re ve jφ e jωt ( ) where v is the amplitude and φ is the phase of the sinusoidal signal v(t). ve jφ
27 Frequency Response Before starting, review phasor analysis, Bode plots... Key concept: small-signal models for amplifiers are linear and therefore, cosines and sines are solutions of the linear differential
More informationLecture 46 Bode Plots of Transfer Functions:II A. Low Q Approximation for Two Poles w o
Lecture 46 Bode Plots of Transfer Functions:II A. Low Q Approximation for Two Poles w o ----------- ----------- w L =Q - w o πf o w h =Qw o w L ~ RC w h w L f(l) w h f(c) B. Construction from T(s) Asymptotes
More informationNetwork Analysis (Subject Code: 06ES34) Resonance
Network Analysis (Subject Code: 06ES34) Resonance Introduction Resonance Classification of Resonance Circuits Series Resonance Circuit Parallel Resonance Circuit Frequency Response of Series and Parallel
More informationET3-7: Modelling II(V) Electrical, Mechanical and Thermal Systems
ET3-7: Modelling II(V) Electrical, Mechanical and Thermal Systems Agenda of the Day 1. Resume of lesson I 2. Basic system models. 3. Models of basic electrical system elements 4. Application of Matlab/Simulink
More information[1] (b) Fig. 1.1 shows a circuit consisting of a resistor and a capacitor of capacitance 4.5 μf. Fig. 1.1
1 (a) Define capacitance..... [1] (b) Fig. 1.1 shows a circuit consisting of a resistor and a capacitor of capacitance 4.5 μf. S 1 S 2 6.3 V 4.5 μf Fig. 1.1 Switch S 1 is closed and switch S 2 is left
More information1) Opposite charges and like charges. a) attract, repel b) repel, attract c) attract, attract
) Opposite charges and like charges. a) attract, repel b) repel, attract c) attract, attract ) The electric field surrounding two equal positive charges separated by a distance of 0 cm is zero ; the electric
More informationResponse of Second-Order Systems
Unit 3 Response of SecondOrder Systems In this unit, we consider the natural and step responses of simple series and parallel circuits containing inductors, capacitors and resistors. The equations which
More informationEXPERIMENT 07 TO STUDY DC RC CIRCUIT AND TRANSIENT PHENOMENA
EXPERIMENT 07 TO STUDY DC RC CIRCUIT AND TRANSIENT PHENOMENA DISCUSSION The capacitor is a element which stores electric energy by charging the charge on it. Bear in mind that the charge on a capacitor
More informationResponse to a pure sinusoid
Harvard University Division of Engineering and Applied Sciences ES 145/215 - INTRODUCTION TO SYSTEMS ANALYSIS WITH PHYSIOLOGICAL APPLICATIONS Fall Lecture 14: The Bode Plot Response to a pure sinusoid
More information'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. EGR 224 Spring Test II. Michael R. Gustafson II
'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ EGR 224 Spring 2017 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any
More informationECE 255, Frequency Response
ECE 255, Frequency Response 19 April 2018 1 Introduction In this lecture, we address the frequency response of amplifiers. This was touched upon briefly in our previous lecture in Section 7.5 of the textbook.
More informationAE60 INSTRUMENTATION & MEASUREMENTS DEC 2013
Q.2 a. Differentiate between the direct and indirect method of measurement. There are two methods of measurement: 1) direct comparison with the standard, and 2) indirect comparison with the standard. Both
More informationPhysics 240 Fall 2005: Exam #3 Solutions. Please print your name: Please list your discussion section number: Please list your discussion instructor:
Physics 4 Fall 5: Exam #3 Solutions Please print your name: Please list your discussion section number: Please list your discussion instructor: Form #1 Instructions 1. Fill in your name above. This will
More informationRefinements 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 informationSolutions to PHY2049 Exam 2 (Nov. 3, 2017)
Solutions to PHY2049 Exam 2 (Nov. 3, 207) Problem : In figure a, both batteries have emf E =.2 V and the external resistance R is a variable resistor. Figure b gives the electric potentials V between the
More informationTransient Analysis of Electrical Circuits Using Runge- Kutta Method and its Application
International Journal of Scientific and Research Publications, Volume 3, Issue 11, November 2013 1 Transient Analysis of Electrical Circuits Using Runge- Kutta Method and its Application Anuj Suhag School
More informationDr. Vahid Nayyeri. Microwave Circuits Design
Lect. 8: Microwave Resonators Various applications: including filters, oscillators, frequency meters, and tuned amplifiers, etc. microwave resonators of all types can be modelled in terms of equivalent
More informationCHAPTER 22 ELECTROMAGNETIC INDUCTION
CHAPTER 22 ELECTROMAGNETIC INDUCTION PROBLEMS 47. REASONING AND Using Equation 22.7, we find emf 2 M I or M ( emf 2 ) t ( 0.2 V) ( 0.4 s) t I (.6 A) ( 3.4 A) 9.3 0 3 H 49. SSM REASONING AND From the results
More informationEKT 119 ELECTRIC CIRCUIT II. Chapter 3: Frequency Response of AC Circuit Sem2 2015/2016 Dr. Mohd Rashidi Che Beson
EKT 9 ELECTRIC CIRCUIT II Chapter 3: Frequency Response of AC Circuit Sem 05/06 Dr. Mohd Rashidi Che Beson TRANSFER FUNCTION (TF Frequency response can be obtained by using transfer function. DEFINITION:
More informationAC Circuit Analysis and Measurement Lab Assignment 8
Electric Circuit Lab Assignments elcirc_lab87.fm - 1 AC Circuit Analysis and Measurement Lab Assignment 8 Introduction When analyzing an electric circuit that contains reactive components, inductors and
More informationModule 25: Outline Resonance & Resonance Driven & LRC Circuits Circuits 2
Module 25: Driven RLC Circuits 1 Module 25: Outline Resonance & Driven LRC Circuits 2 Driven Oscillations: Resonance 3 Mass on a Spring: Simple Harmonic Motion A Second Look 4 Mass on a Spring (1) (2)
More informationChapter 8: Converter Transfer Functions
Chapter 8. Converter Transfer Functions 8.1. Review of Bode plots 8.1.1. Single pole response 8.1.2. Single zero response 8.1.3. Right half-plane zero 8.1.4. Frequency inversion 8.1.5. Combinations 8.1.6.
More informationLearnabout Electronics - AC Theory
Learnabout Electronics - AC Theory Facts & Formulae for AC Theory www.learnabout-electronics.org Contents AC Wave Values... 2 Capacitance... 2 Charge on a Capacitor... 2 Total Capacitance... 2 Inductance...
More informationCHAPTER 5 ANALYSIS OF EXTRAPOLATION VOLTAGES
CHAPTER 5 ANALYSIS OF EXTRAPOLATION VOLTAGES In the previous chapters, the emphasis was on understanding the acoustical nonlinearities that would corrupt the ideal voltage based linear extrapolation. However,
More informationEE-202 Exam III April 10, 2008
EE-202 Exam III April 10, 2008 Name: (Please print clearly) Student ID: CIRCLE YOUR DIVISION Morning 8:30 MWF Afternoon 12:30 MWF INSTRUCTIONS There are 13 multiple choice worth 5 points each and there
More informationModule 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur
Module 4 Single-phase circuits ersion EE T, Kharagpur esson 6 Solution of urrent in Parallel and Seriesparallel ircuits ersion EE T, Kharagpur n the last lesson, the following points were described:. How
More informationECE3050 Assignment 7
ECE3050 Assignment 7. Sketch and label the Bode magnitude and phase plots for the transfer functions given. Use loglog scales for the magnitude plots and linear-log scales for the phase plots. On the magnitude
More information'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ. EGR 224 Spring Test II. Michael R. Gustafson II
'XNH8QLYHUVLW\ (GPXQG73UDWW-U6FKRRORI(QJLQHHULQJ EGR 224 Spring 2018 Test II Michael R. Gustafson II Name (please print) In keeping with the Community Standard, I have neither provided nor received any
More informationEE40 Homework #6. Due Oct 15 (Thursday), 12:00 noon in Cory 240
Fall 2009 EE40 Homework #6 Due Oct 15 (Thursday), 12:00 noon in Cory 240 Reading Assignments Chapter 5 of Hambley textbook. Section 5.7 on Three-Phase circuit is optional Sections 6.1-6.5 of Hambley textbook
More informationSome of the different forms of a signal, obtained by transformations, are shown in the figure. jwt e z. jwt z e
Transform methods Some of the different forms of a signal, obtained by transformations, are shown in the figure. X(s) X(t) L - L F - F jw s s jw X(jw) X*(t) F - F X*(jw) jwt e z jwt z e X(nT) Z - Z X(z)
More informationAC Circuits III. Physics 2415 Lecture 24. Michael Fowler, UVa
AC Circuits III Physics 415 Lecture 4 Michael Fowler, UVa Today s Topics LC circuits: analogy with mass on spring LCR circuits: damped oscillations LCR circuits with ac source: driven pendulum, resonance.
More informationSteady State Frequency Response Using Bode Plots
School of Engineering Department of Electrical and Computer Engineering 332:224 Principles of Electrical Engineering II Laboratory Experiment 3 Steady State Frequency Response Using Bode Plots 1 Introduction
More informationSophomore Physics Laboratory (PH005/105)
CALIFORNIA INSTITUTE OF TECHNOLOGY PHYSICS MATHEMATICS AND ASTRONOMY DIVISION Sophomore Physics Laboratory (PH5/15) Analog Electronics Active Filters Copyright c Virgínio de Oliveira Sannibale, 23 (Revision
More information( s) N( s) ( ) The transfer function will take the form. = s = 2. giving ωo = sqrt(1/lc) = 1E7 [rad/s] ω 01 := R 1. α 1 2 L 1.
Problem ) RLC Parallel Circuit R L C E-4 E-0 V a. What is the resonant frequency of the circuit? The transfer function will take the form N ( ) ( s) N( s) H s R s + α s + ω s + s + o L LC giving ωo sqrt(/lc)
More informationmywbut.com Lesson 16 Solution of Current in AC Parallel and Seriesparallel
esson 6 Solution of urrent in Parallel and Seriesparallel ircuits n the last lesson, the following points were described:. How to compute the total impedance/admittance in series/parallel circuits?. How
More informationConventional Paper-I Part A. 1. (a) Define intrinsic wave impedance for a medium and derive the equation for intrinsic vy
EE-Conventional Paper-I IES-01 www.gateforum.com Conventional Paper-I-01 Part A 1. (a) Define intrinsic wave impedance for a medium and derive the equation for intrinsic vy impedance for a lossy dielectric
More informationHomework Assignment 11
Homework Assignment Question State and then explain in 2 3 sentences, the advantage of switched capacitor filters compared to continuous-time active filters. (3 points) Continuous time filters use resistors
More informationSpeaker: Arthur Williams Chief Scientist Telebyte Inc. Thursday November 20 th 2008 INTRODUCTION TO ACTIVE AND PASSIVE ANALOG
INTRODUCTION TO ACTIVE AND PASSIVE ANALOG FILTER DESIGN INCLUDING SOME INTERESTING AND UNIQUE CONFIGURATIONS Speaker: Arthur Williams Chief Scientist Telebyte Inc. Thursday November 20 th 2008 TOPICS Introduction
More information