Problem Solving 8: RC and LR Circuits


 Nickolas Patterson
 3 years ago
 Views:
Transcription
1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Problem Solving 8: RC and LR Circuits Section Table and Group (e.g. L04 3C ) Names Hand in one copy per group at the end of the Friday Problem Solving Session. OBJECTIVES 1. To understand how the charge on a capacitor and the current through a charging RC circuit behave as a function of time. 2. To derive and solve the differential equation for the charge on a capacitor in a charging RC circuit. 3. Explain the meaning of the time constant for the current in a charging RC circuit. 4. To understand how the current through an inductor in an LR circuit behaves as a function of time for the case when a switch in the circuit is opened. 5. To derive and solve the differential equation for the current through an inductor in an LR circuit when a switch is opened. Problem 1 Charging a Capacitor Consider the circuit shown below. The capacitor is connected to a DC source of emf ε. At time t = 0, the switch S is closed. The capacitor initially is uncharged, Q(t = 0) = 0. Question 1: At t = 0, what is the current in the circuit? 1
2 Solution: At this instant, the potential difference from the battery terminals is the same as that across the resistor. This initiates the charging of the capacitor. As the capacitor starts to charge, the electric potential difference across the capacitor increases in time. The electric potential differences across a capacitor are summarized in the figure below. Question 2: Using Kirchhoff s loop rule, find the differential equation satisfied by the charge Q(t) on the capacitor. Question 3: Using your differential equation that you found in Question 2, explain in your own words how that the charge on the capacitor behaves as a function of time. 2
3 We shall solve the differential equation dq dt R = ε Q C you found in Question 2 by the method of separation of variables. The first step is to separate terms involving charge and time, (this means putting terms involving dq and Q on one side of the equality sign and terms involving dt on the other side), dq ε Q C = 1 R dt dq Q Cε = 1 RC dt Question 4: Integrate both sides of the above equation to find an expression for the charge Q(t) on the capacitor as a function of time. You will be setting up definite integrals with limits of integration that cover the time interval [0,t] and the corresponding charge interval [0,Q(t)]. Question 5: If you haven t already done so you can now exponentiate both sides of your result from Question 4 using the fact that exp(ln x) = x to yield to find an expression for Q(t). 3
4 Question 6: What is the maximum value of the charge on the capacitor? Question 7: Make a plot of the charge Q(t) as a function of time t. Label all appropriate values on your plot. Question 8: After a very long time, how does the electric potential difference across the capacitor compare to the electric potential difference across the battery? 4
5 Question 9: Find an expression for the current I(t) through the circuit as function of time t. Question 10: Make a plot of the current I(t) as a function of time t. Label all appropriate values on your plot. The current in the charging circuit decreases exponentially in time, I( t) I e t/ RC = 0. This t/ function is often written as I( t) = I0 e τ where τ = RC is called the time constant. The time constant τ is a measure of the decay time for the exponential function. This decay rate satisfies the following property: 1 I( t + τ ) = I( t) e, which shows that after one time constant τ has elapsed, the current falls off by a factor of 1 e = 0.368, as indicated in the figure above. Similarly, the electric potential difference across the capacitor (see figure below) can also be expressed in terms of the time constant τ : ΔV C (t) = ε(1 e t /τ ). 5
6 Notice that initially at time t = 0, ΔV C (t = 0) = 0. After one time constant τ has elapsed, the potential difference across the capacitor plates has increased by a factor final value: ΔV C (τ ) = ε(1 e 1 ) = 0.632ε. 1 (1 e ) = of its 6
7 Problem 2: Opening a Switch on an RL Circuit The LR circuit shown in the figure below contains a resistor R 1 and an inductance L in series with a battery of emf ε 0. The switch S is initially closed. At t = 0, the switch S is opened, so that an additional very large resistance R 2 (with R 2 >> R 1 ) is now in series with the other elements. Question 1: If the switch has been closed for a long time before t = 0, what is the steady current I 0 in the circuit? Question 2: While this current I 0 is flowing, at time t = 0, the switch S is opened. Write the differential equation for I(t) that describes the behavior of the circuit at times t 0. 7
8 Question 3: Solve this equation (by integration) for I(t) under the approximation that ε 0 = 0. (Assume that the battery emf is negligible compared to the total emf around the circuit for times just after the switch is opened.) Express your answer in terms of the initial current I 0, and R 1, R 2, and L. 8
9 Question 4: Using your results from part b), find the value of the total emf around the circuit (which from Faraday's law is LdI / dt ) just after the switch is opened. Question 5: How reasonable is your assumption in part b) that ε 0 could be ignored for times just after the switch is opened? Question 6: What is the magnitude of the potential drop across the resistor R 2 at times t > 0, just after the switch is opened? Express your answers in terms of ε 0, R 1, and R 2. 9
10 Question 7: How does the potential drop across R 2 just after t = 0 compare to the battery emf ε 0, if R 2 = 80R 1? Question 8: Based on your result from Question 7, why should you be very careful when you open the switch? 10
First Order Circuits. EENG223 Circuit Theory I
First Order Circuits EENG223 Circuit Theory I First Order Circuits A firstorder circuit can only contain one energy storage element (a capacitor or an inductor). The circuit will also contain resistance.
More informationChapter 7. DC Circuits
Chapter 7 DC Circuits 7.1 Introduction... 73 Example 7.1.1: Junctions, branches and loops... 74 7.2 Electromotive Force... 75 7.3 Electrical Energy and Power... 79 7.4 Resistors in Series and in Parallel...
More informationCircuits. The light bulbs in the circuits below are identical. Which configuration produces more light? (a) circuit I (b) circuit II (c) both the same
Circuits The light bulbs in the circuits below are identical. Which configuration produces more light? (a) circuit I (b) circuit II (c) both the same Circuit II has ½ current of each branch of circuit
More informationChapter 7 DirectCurrent Circuits
Chapter 7 DirectCurrent Circuits 7. Introduction...77. Electromotive Force...73 7.3 Resistors in Series and in Parallel...75 7.4 Kirchhoff s Circuit Rules...77 7.5 VoltageCurrent Measurements...79
More information= (0.400 A) (4.80 V) = 1.92 W = (0.400 A) (7.20 V) = 2.88 W
Physics 2220 Module 06 Homework 0. What are the magnitude and direction of the current in the 8 Ω resister in the figure? Assume the current is moving clockwise. Then use Kirchhoff's second rule: 3.00
More informationEðlisfræði 2, vor 2007
[ Assignment View ] [ Print ] Eðlisfræði 2, vor 2007 30. Inductance Assignment is due at 2:00am on Wednesday, March 14, 2007 Credit for problems submitted late will decrease to 0% after the deadline has
More informationPhysics 2102 Lecture 19. Physics 2102
Physics 2102 Jonathan Dowling Physics 2102 Lecture 19 Ch 30: Inductors and RL Circuits Nikolai Tesla What are we going to learn? A road map Electric charge Electric force on other electric charges Electric
More informationHomework #11 20311721 Physics 2 for Students of Mechanical Engineering
Homework #11 20311721 Physics 2 for Students of Mechanical Engineering 2. A circular coil has a 10.3 cm radius and consists of 34 closely wound turns of wire. An externally produced magnetic field of
More informationDirection of Induced Current
Direction of Induced Current Bar magnet moves through coil Current induced in coil A S N v Reverse pole Induced current changes sign B N S v v Coil moves past fixed bar magnet Current induced in coil as
More informationCircuits with inductors and alternating currents. Chapter 20 #45, 46, 47, 49
Circuits with inductors and alternating currents Chapter 20 #45, 46, 47, 49 RL circuits Ch. 20 (last section) Symbol for inductor looks like a spring. An inductor is a circuit element that has a large
More informationCHAPTER 28 ELECTRIC CIRCUITS
CHAPTER 8 ELECTRIC CIRCUITS 1. Sketch a circuit diagram for a circuit that includes a resistor R 1 connected to the positive terminal of a battery, a pair of parallel resistors R and R connected to the
More informationES250: Electrical Science. HW7: Energy Storage Elements
ES250: Electrical Science HW7: Energy Storage Elements Introduction This chapter introduces two more circuit elements, the capacitor and the inductor whose elements laws involve integration or differentiation;
More informationε: Voltage output of Signal Generator (also called the Source voltage or Applied
Experiment #10: LR & RC Circuits Frequency Response EQUIPMENT NEEDED Science Workshop Interface Power Amplifier (2) Voltage Sensor graph paper (optional) (3) Patch Cords Decade resistor, capacitor, and
More information12. The current in an inductor is changing at the rate of 100 A/s, and the inductor emf is 40 V. What is its selfinductance?
12. The current in an inductor is changing at the rate of 100 A/s, and the inductor emf is 40 V. What is its selfinductance? From Equation 325, L = E=(dI =dt) = 40 V=(100 A/s) = 0.4 H. 15. A cardboard
More informationThe Time Constant of an RC Circuit
The Time Constant of an RC Circuit 1 Objectives 1. To determine the time constant of an RC Circuit, and 2. To determine the capacitance of an unknown capacitor. 2 Introduction What the heck is a capacitor?
More informationSolution Derivations for Capa #11
Solution Derivations for Capa #11 Caution: The symbol E is used interchangeably for energy and EMF. 1) DATA: V b = 5.0 V, = 155 Ω, L = 8.400 10 2 H. In the diagram above, what is the voltage across the
More informationSlide 1 / 26. Inductance. 2011 by Bryan Pflueger
Slide 1 / 26 Inductance 2011 by Bryan Pflueger Slide 2 / 26 Mutual Inductance If two coils of wire are placed near each other and have a current passing through them, they will each induce an emf on one
More informationLast time : energy storage elements capacitor.
Last time : energy storage elements capacitor. Charge on plates Energy stored in the form of electric field Passive sign convention Vlt Voltage drop across real capacitor can not change abruptly because
More informationChapter 11. Inductors ISU EE. C.Y. Lee
Chapter 11 Inductors Objectives Describe the basic structure and characteristics of an inductor Discuss various types of inductors Analyze series inductors Analyze parallel inductors Analyze inductive
More informationEE301 Lesson 14 Reading: 10.110.4, 10.1110.12, 11.111.4 and 11.1111.13
CAPACITORS AND INDUCTORS Learning Objectives EE301 Lesson 14 a. Define capacitance and state its symbol and unit of measurement. b. Predict the capacitance of a parallel plate capacitor. c. Analyze how
More informationW03 Analysis of DC Circuits. Yrd. Doç. Dr. Aytaç Gören
W03 Analysis of DC Circuits Yrd. Doç. Dr. Aytaç Gören ELK 2018  Contents W01 Basic Concepts in Electronics W02 AC to DC Conversion W03 Analysis of DC Circuits (self and condenser) W04 Transistors and
More informationChapter 12 Driven RLC Circuits
hapter Driven ircuits. A Sources... . A ircuits with a Source and One ircuit Element... 3.. Purely esistive oad... 3.. Purely Inductive oad... 6..3 Purely apacitive oad... 8.3 The Series ircuit...
More informationEE 1202 Experiment #4 Capacitors, Inductors, and Transient Circuits
EE 1202 Experiment #4 Capacitors, Inductors, and Transient Circuits 1. Introduction and Goal: Exploring transient behavior due to inductors and capacitors in DC circuits; gaining experience with lab instruments.
More informationInduced voltages and Inductance Faraday s Law
Induced voltages and Inductance Faraday s Law concept #1, 4, 5, 8, 13 Problem # 1, 3, 4, 5, 6, 9, 10, 13, 15, 24, 23, 25, 31, 32a, 34, 37, 41, 43, 51, 61 Last chapter we saw that a current produces a magnetic
More informationRC Circuits and The Oscilloscope Physics Lab X
Objective RC Circuits and The Oscilloscope Physics Lab X In this series of experiments, the time constant of an RC circuit will be measured experimentally and compared with the theoretical expression for
More informationAlternatingCurrent Circuits
hapter 1 Alternatingurrent ircuits 1.1 A Sources... 11. Simple A circuits... 13 1..1 Purely esistive load... 13 1.. Purely Inductive oad... 15 1..3 Purely apacitive oad... 17 1.3 The Series ircuit...
More informationExercises on Voltage, Capacitance and Circuits. A d = (8.85 10 12 ) π(0.05)2 = 6.95 10 11 F
Exercises on Voltage, Capacitance and Circuits Exercise 1.1 Instead of buying a capacitor, you decide to make one. Your capacitor consists of two circular metal plates, each with a radius of 5 cm. The
More informationStep Response of RC Circuits
Step Response of RC Circuits 1. OBJECTIVES...2 2. REFERENCE...2 3. CIRCUITS...2 4. COMPONENTS AND SPECIFICATIONS...3 QUANTITY...3 DESCRIPTION...3 COMMENTS...3 5. DISCUSSION...3 5.1 SOURCE RESISTANCE...3
More informationLet s examine the response of the circuit shown on Figure 1. The form of the source voltage Vs is shown on Figure 2. R. Figure 1.
Examples of Transient and RL Circuits. The Series RLC Circuit Impulse response of Circuit. Let s examine the response of the circuit shown on Figure 1. The form of the source voltage Vs is shown on Figure.
More informationSERIESPARALLEL DC CIRCUITS
Name: Date: Course and Section: Instructor: EXPERIMENT 1 SERIESPARALLEL DC CIRCUITS OBJECTIVES 1. Test the theoretical analysis of seriesparallel networks through direct measurements. 2. Improve skills
More informationExperiment 8 SeriesParallel Circuits
Experiment 8 SeriesParallel Circuits EL 111  DC Fundamentals By: Walter Banzhaf, E.K. Smith, and Winfield Young University of Hartford Ward College of Technology Objectives: 1. For the student to measure
More information45. The peak value of an alternating current in a 1500W device is 5.4 A. What is the rms voltage across?
PHYS Practice Problems hapters 8 hapter 8. 45. The peak value of an alternating current in a 5W device is 5.4 A. What is the rms voltage across? The power and current can be used to find the peak voltage,
More informationApplications of SecondOrder Differential Equations
Applications of SecondOrder Differential Equations Secondorder linear differential equations have a variety of applications in science and engineering. In this section we explore two of them: the vibration
More informationAP Physics Electricity and Magnetism #4 Electrical Circuits, Kirchoff s Rules
Name Period AP Physics Electricity and Magnetism #4 Electrical Circuits, Kirchoff s Rules Dr. Campbell 1. Four 240 Ω light bulbs are connected in series. What is the total resistance of the circuit? What
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) If the voltage at a point in space is zero, then the electric field must be A) zero. B) positive.
More informationCHAPTER 30: Inductance, Electromagnetic Oscillations, and AC Circuits
HAPTE 3: Inductance, Electromagnetic Oscillations, and A ircuits esponses to Questions. (a) For the maximum value of the mutual inductance, place the coils close together, face to face, on the same axis.
More informationSeries and Parallel Circuits
Series and Parallel Circuits DirectCurrent Series Circuits A series circuit is a circuit in which the components are connected in a line, one after the other, like railroad cars on a single track. There
More informationExperiment #5, Series and Parallel Circuits, Kirchhoff s Laws
Physics 182 Summer 2013 Experiment #5 1 Experiment #5, Series and Parallel Circuits, Kirchhoff s Laws 1 Purpose Our purpose is to explore and validate Kirchhoff s laws as a way to better understanding
More information= V peak 2 = 0.707V peak
BASIC ELECTRONICS  RECTIFICATION AND FILTERING PURPOSE Suppose that you wanted to build a simple DC electronic power supply, which operated off of an AC input (e.g., something you might plug into a standard
More informationEXPERIMENT NUMBER 8 CAPACITOR CURRENTVOLTAGE RELATIONSHIP
1 EXPERIMENT NUMBER 8 CAPACITOR CURRENTVOLTAGE RELATIONSHIP Purpose: To demonstrate the relationship between the voltage and current of a capacitor. Theory: A capacitor is a linear circuit element whose
More information19.7. Applications of Differential Equations. Introduction. Prerequisites. Learning Outcomes. Learning Style
Applications of Differential Equations 19.7 Introduction Blocks 19.2 to 19.6 have introduced several techniques for solving commonlyoccurring firstorder and secondorder ordinary differential equations.
More informationInductance and Magnetic Energy
Chapter 11 Inductance and Magnetic Energy 11.1 Mutual Inductance... 113 Example 11.1 Mutual Inductance of Two Concentric Coplanar Loops... 115 11. SelfInductance... 115 Example 11. SelfInductance
More informationEXAMPLE 8: An Electrical System (MechanicalElectrical Analogy)
EXAMPLE 8: An Electrical System (MechanicalElectrical Analogy) A completely analogous procedure can be used to find the state equations of electrical systems (and, ultimately, electromechanical systems
More informationCapacitors in Circuits
apacitors in ircuits apacitors store energy in the electric field E field created by the stored charge In circuit apacitor may be absorbing energy Thus causes circuit current to be reduced Effectively
More informationYour Comments. This was a very confusing prelecture. Do you think you could go over thoroughly how the LC circuits work qualitatively?
Your omments I am not feeling great about this mierm...some of this stuff is really confusing still and I don't know if I can shove everything into my brain in time, especially after spring break. an you
More informationPHASOR DIAGRAMS HANDSON RELAY SCHOOL WSU PULLMAN, WA. RON ALEXANDER  BPA
PHASOR DIAGRAMS HANDSON RELAY SCHOOL WSU PULLMAN, WA. RON ALEXANDER  BPA What are phasors??? In normal practice, the phasor represents the rms maximum value of the positive half cycle of the sinusoid
More informationChapter 29 AlternatingCurrent Circuits
hapter 9 Alternatingurrent ircuits onceptual Problems A coil in an ac generator rotates at 6 Hz. How much time elapses between successive emf values of the coil? Determine the oncept Successive s are
More informationChapter 30 Inductance
Chapter 30 Inductance  Mutual Inductance  SelfInductance and Inductors  MagneticField Energy  The R Circuit  The C Circuit  The RC Series Circuit . Mutual Inductance  A changing current in
More informationL and C connected together. To be able: To analyse some basic circuits.
circuits: Sinusoidal Voltages and urrents Aims: To appreciate: Similarities between oscillation in circuit and mechanical pendulum. Role of energy loss mechanisms in damping. Why we study sinusoidal signals
More information12.4 UNDRIVEN, PARALLEL RLC CIRCUIT*
+ v C C R L  v i L FIGURE 12.24 The parallel secondorder RLC circuit shown in Figure 2.14a. 12.4 UNDRIVEN, PARALLEL RLC CIRCUIT* We will now analyze the undriven parallel RLC circuit shown in Figure
More informationDirectCurrent Circuits
8 DirectCurrent Circuits Clicker Questions Question N.0 Description: Understanding circuits with parallel resistances. Question A battery is used to light a bulb as shown. A second bulb is connected by
More informationProperties of electrical signals
DC Voltage Component (Average voltage) Properties of electrical signals v(t) = V DC + v ac (t) V DC is the voltage value displayed on a DC voltmeter Triangular waveform DC component Halfwave rectifier
More informationObjectives. Capacitors 262 CHAPTER 5 ENERGY
Objectives Describe a capacitor. Explain how a capacitor stores energy. Define capacitance. Calculate the electrical energy stored in a capacitor. Describe an inductor. Explain how an inductor stores energy.
More informationCurrent, Resistance and Electromotive Force. Young and Freedman Chapter 25
Current, Resistance and Electromotive Force Young and Freedman Chapter 25 Electric Current: Analogy, water flowing in a pipe H 2 0 gallons/minute Flow Rate is the NET amount of water passing through a
More informationLecture 24: Oscillators. Clapp Oscillator. VFO Startup
Whites, EE 322 Lecture 24 Page 1 of 10 Lecture 24: Oscillators. Clapp Oscillator. VFO Startup Oscillators are circuits that produce periodic output voltages, such as sinusoids. They accomplish this feat
More informationOperational Amplifier as mono stable multi vibrator
Page 1 of 5 Operational Amplifier as mono stable multi vibrator Aim : To construct a monostable multivibrator using operational amplifier 741 and to determine the duration of the output pulse generated
More informationLecture 24. Inductance and Switching Power Supplies (how your solar charger voltage converter works)
Lecture 24 Inductance and Switching Power Supplies (how your solar charger voltage converter works) Copyright 2014 by Mark Horowitz 1 Roadmap: How Does This Work? 2 Processor Board 3 More Detailed Roadmap
More informationStep response of an RLC series circuit
School of Engineering Department of Electrical and Computer Engineering 332:224 Principles of Electrical Engineering II Laboratory Experiment 5 Step response of an RLC series circuit 1 Introduction Objectives
More informationExperiment #11: LRC Circuit (Power Amplifier, Voltage Sensor)
Experiment #11: LRC Circuit (Power Amplifier, Voltage Sensor) Concept: circuits Time: 30 m SW Interface: 750 Windows file: RLC.SWS EQUIPMENT NEEDED Science Workshop Interface Power Amplifier (2) Voltage
More informationCLASS TEST GRADE 11. PHYSICAL SCIENCES: PHYSICS Test 3: Electricity and magnetism
CLASS TEST GRADE 11 PHYSICAL SCIENCES: PHYSICS Test 3: Electricity and magnetism MARKS: 45 TIME: 1 hour INSTRUCTIONS AND INFORMATION 1. Answer ALL the questions. 2. You may use nonprogrammable calculators.
More informationUsing the Impedance Method
Using the Impedance Method The impedance method allows us to completely eliminate the differential equation approach for the determination of the response of circuits. In fact the impedance method even
More informationIntroduction to Complex Numbers in Physics/Engineering
Introduction to Complex Numbers in Physics/Engineering ference: Mary L. Boas, Mathematical Methods in the Physical Sciences Chapter 2 & 14 George Arfken, Mathematical Methods for Physicists Chapter 6 The
More informationPulsed Power Engineering Diagnostics
Pulsed Power Engineering Diagnostics January 1216, 2009 Craig Burkhart, PhD Power Conversion Department SLAC National Accelerator Laboratory Diagnostic Techniques and Considerations in Pulsed Power Systems
More informationRUPHYS2272015 ( RUPHY227F2015 ) My Courses Course Settings University Physics with Modern Physics, 14e Young/Freedman
Signed in as Jolie Cizewski, Instructor Help Sign Out RUPHYS2272015 ( RUPHY227F2015 ) My Courses Course Settings University Physics with Modern Physics, 14e Young/Freedman Course Home Assignments Roster
More informationTEACHER S CLUB EXAMS GRADE 11. PHYSICAL SCIENCES: PHYSICS Paper 1
TEACHER S CLUB EXAMS GRADE 11 PHYSICAL SCIENCES: PHYSICS Paper 1 MARKS: 150 TIME: 3 hours INSTRUCTIONS AND INFORMATION 1. This question paper consists of 12 pages, two data sheets and a sheet of graph
More informationInductors in AC Circuits
Inductors in AC Circuits Name Section Resistors, inductors, and capacitors all have the effect of modifying the size of the current in an AC circuit and the time at which the current reaches its maximum
More informationUnit2: Resistor/CapacitorFilters
Unit2: Resistor/CapacitorFilters Physics335 Student October 3, 27 Physics 335Section Professor J. Hobbs Partner: Physics335 Student2 Abstract Basic RCfilters were constructed and properties such as
More informationChapter 1. Fundamental Electrical Concepts
Chapter 1 Fundamental Electrical Concepts Charge, current, voltage, power circuits, nodes, branches Branch and node voltages, Kirchhoff Laws Basic circuit elements, combinations 01 fundamental 1 1.3 Electrical
More informationELECTRICAL ENGINEERING Vol. I  Direct Current and Alternating Current Systems  N. Rajkumar DIRECT CURRENT AND ALTERNATING CURRENT SYSTEMS
DIRECT CURRENT AND ALTERNATING CURRENT SYSTEMS N. Rajkumar, Research Fellow, Energy Systems Group, City University Northampton Square, London EC1V 0HB, UK Keywords: Electrical energy, direct current, alternating
More informationDiodes have an arrow showing the direction of the flow.
The Big Idea Modern circuitry depends on much more than just resistors and capacitors. The circuits in your computer, cell phone, Ipod depend on circuit elements called diodes, inductors, transistors,
More informationChapter 3 AUTOMATIC VOLTAGE CONTROL
Chapter 3 AUTOMATIC VOLTAGE CONTROL . INTRODUCTION TO EXCITATION SYSTEM The basic function of an excitation system is to provide necessary direct current to the field winding of the synchronous generator.
More informationOp amp DC error characteristics and the effect on highprecision applications
Op amp DC error characteristics and the effect on highprecision applications Srudeep Patil, Member of Technical Staff, Maxim Integrated  January 01, 2014 This article discusses the DC limitations of
More informationSchool of Engineering Department of Electrical and Computer Engineering
1 School of Engineering Department of Electrical and Computer Engineering 332:223 Principles of Electrical Engineering I Laboratory Experiment #4 Title: Operational Amplifiers 1 Introduction Objectives
More informationRLC Resonant Circuits
C esonant Circuits Andrew McHutchon April 20, 203 Capacitors and Inductors There is a lot of inconsistency when it comes to dealing with reactances of complex components. The format followed in this document
More informationEnergy in Electrical Systems. Overview
Energy in Electrical Systems Overview How can Potential Energy be stored in electrical systems? Battery Stored as chemical energy then transformed to electrical energy on usage Water behind a dam Water
More informationSeries and Parallel Resistive Circuits
Series and Parallel Resistive Circuits The configuration of circuit elements clearly affects the behaviour of a circuit. Resistors connected in series or in parallel are very common in a circuit and act
More informationThe Flyback Converter
The Flyback Converter Lecture notes ECEN4517! Derivation of the flyback converter: a transformerisolated version of the buckboost converter! Typical waveforms, and derivation of M(D) = V/! Flyback transformer
More information( )( 10!12 ( 0.01) 2 2 = 624 ( ) Exam 1 Solutions. Phy 2049 Fall 2011
Phy 49 Fall 11 Solutions 1. Three charges form an equilateral triangle of side length d = 1 cm. The top charge is q =  4 μc, while the bottom two are q1 = q = +1 μc. What is the magnitude of the net force
More informationPower supplies. EE328 Power Electronics Assoc. Prof. Dr. Mutlu BOZTEPE Ege University, Dept. of E&E
Power supplies EE328 Power Electronics Assoc. Prof. Dr. Mutlu BOZTEPE Ege University, Dept. of E&E EE328 POWER ELECTRONICS Outline of lecture Introduction to power supplies Modelling a power transformer
More informationCURRENT ELECTRICITY  I
CURRNT LCTRCTY  1. lectric Current 2. Conventional Current 3. Drift elocity of electrons and current 4. Current Density 5. Ohm s Law 6. Resistance, Resistivity, Conductance & Conductivity 7. Temperature
More informationResistors in Series and Parallel
Resistors in Series and Parallel Bởi: OpenStaxCollege Most circuits have more than one component, called a resistor that limits the flow of charge in the circuit. A measure of this limit on charge flow
More informationFirst Year (Electrical & Electronics Engineering)
Z PRACTICAL WORK BOOK For The Course EE113 Basic Electrical Engineering For First Year (Electrical & Electronics Engineering) Name of Student: Class: Batch : Discipline: Class Roll No.: Examination Seat
More informationDOKUZ EYLUL UNIVERSITY FACULTY OF ENGINEERING OFFICE OF THE DEAN COURSE / MODULE / BLOCK DETAILS ACADEMIC YEAR / SEMESTER. Course Code: EEE 2073
Offered by: ElektrikElektronik Mühendisliği Course Title: FUNDAMENTALS OF ELECTRIC AND ELECTRONICS Course Org. Title: FUNDAMENTALS OF ELECTRIC AND ELECTRONICS Course Level: Lisans Course Code: EEE 07
More informationConversion Between Analog and Digital Signals
ELET 3156 DL  Laboratory #6 Conversion Between Analog and Digital Signals There is no prelab work required for this experiment. However, be sure to read through the assignment completely prior to starting
More informationApril 1. Physics 272. Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html. Prof. Philip von Doetinchem philipvd@hawaii.
Physics 272 April 1 Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html Prof. Philip von Doetinchem philipvd@hawaii.edu Phys272  Spring 14  von Doetinchem  164 Summary Gauss's
More informationω h (t) = Ae t/τ. (3) + 1 = 0 τ =.
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering 2.004 Dynamics and Control II Fall 2007 Lecture 2 Solving the Equation of Motion Goals for today Modeling of the 2.004 La s rotational
More informationLecture 7 Circuit analysis via Laplace transform
S. Boyd EE12 Lecture 7 Circuit analysis via Laplace transform analysis of general LRC circuits impedance and admittance descriptions natural and forced response circuit analysis with impedances natural
More informationDesigning Stable Compensation Networks for Single Phase Voltage Mode Buck Regulators
Designing Stable Compensation Networks for Single Phase Voltage Mode Buck Regulators Technical Brief December 3 TB47. Author: Doug Mattingly Assumptions This Technical Brief makes the following assumptions:.
More informationKeywords: input noise, output noise, step down converters, buck converters, MAX1653EVKit
Maxim > Design Support > Technical Documents > Tutorials > PowerSupply Circuits > APP 986 Keywords: input noise, output noise, step down converters, buck converters, MAX1653EVKit TUTORIAL 986 Input and
More informationCURRENT ELECTRICITY INTRODUCTION TO RESISTANCE, CAPACITANCE AND INDUCTANCE
CURRENT ELECTRICITY INTRODUCTION TO RESI STANCE, CAPACITANCE AND INDUCTANCE P R E A M B L E This problem is adapted from an online knowledge enhancement module for a PGCE programme. It is used to cover
More informationExam 2 Practice Problems Part 1 Solutions
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Exam Practice Problems Part 1 Solutions Problem 1 Electric Field and Charge Distributions from Electric Potential An electric potential V ( z
More informationAP2 Magnetism. (c) Explain why the magnetic field does no work on the particle as it moves in its circular path.
A charged particle is projected from point P with velocity v at a right angle to a uniform magnetic field directed out of the plane of the page as shown. The particle moves along a circle of radius R.
More informationDOE FUNDAMENTALS HANDBOOK ELECTRICAL SCIENCE Volume 3 of 4
DOEHDBK1011/392 JUNE 1992 DOE FUNDAMENTALS HANDBOOK ELECTRICAL SCIENCE Volume 3 of 4 U.S. Department of Energy Washington, D.C. 20585 FSC6910 Distribution Statement A. Approved for public release;
More informationENERGY TRANSFER SYSTEMS AND THEIR DYNAMIC ANALYSIS
ENERGY TRANSFER SYSTEMS AND THEIR DYNAMIC ANALYSIS Many mechanical energy systems are devoted to transfer of energy between two points: the source or prime mover (input) and the load (output). For chemical
More informationUnit/Standard Number. High School Graduation Years 2010, 2011 and 2012
1 Secondary Task List 100 SAFETY 101 Demonstrate an understanding of State and School safety regulations. 102 Practice safety techniques for electronics work. 103 Demonstrate an understanding of proper
More informationFaraday s Law of Induction
Chapter 10 Faraday s Law of Induction 10.1 Faraday s Law of Induction...1010.1.1 Magnetic Flux...103 10.1. Lenz s Law...105 10. Motional EMF...107 10.3 Induced Electric Field...1010 10.4 Generators...101
More informationApplication of network analyzer in measuring the performance functions of power supply
J Indian Inst Sci, July Aug 2006, 86, 315 325 Indian Institute of Science Application of network analyzer in measuring the performance functions of power supply B SWAMINATHAN* AND V RAMANARAYANAN Power
More informationSwitch Mode Power Supply Topologies
Switch Mode Power Supply Topologies The Buck Converter 2008 Microchip Technology Incorporated. All Rights Reserved. WebSeminar Title Slide 1 Welcome to this Web seminar on Switch Mode Power Supply Topologies.
More informationLABORATORY 10 TIME AVERAGES, RMS VALUES AND THE BRIDGE RECTIFIER. Bridge Rectifier
LABORATORY 10 TIME AVERAGES, RMS VALUES AND THE BRIDGE RECTIFIER Fullwave Rectification: Bridge Rectifier For many electronic circuits, DC supply voltages are required but only AC voltages are available.
More information3.4  BJT DIFFERENTIAL AMPLIFIERS
BJT Differential Amplifiers (6/4/00) Page 1 3.4 BJT DIFFERENTIAL AMPLIFIERS INTRODUCTION Objective The objective of this presentation is: 1.) Define and characterize the differential amplifier.) Show the
More information