April 8. Physics 272. Spring Prof. Philip von Doetinchem

Size: px
Start display at page:

Download "April 8. Physics 272. Spring Prof. Philip von Doetinchem"

Transcription

1 Physics 272 April 8 Spring Prof. Philip von Doetinchem Phys272 - Spring 14 - von Doetinchem - 218

2 L-C in parallel Follow a similar idea like in the easy case with L and C in series use Kirchhoff's law Phys272 - Spring 14 - von Doetinchem - 219

3 L-C in parallel We assume that the system is oscillating with a special frequency Differential equation systems with the oscillations can be solved with an exponential approach Phys272 - Spring 14 - von Doetinchem - 220

4 L-C in parallel Now we have system of non-linear equations Let's write it down in matrix form: Phys272 - Spring 14 - von Doetinchem - 221

5 L-C in parallel No general solution exists, only for a special choice of when the determinant of the matrix is zero: Phys272 - Spring 14 - von Doetinchem - 222

6 L-C in parallel If the term under the square root is smaller than zero the system is oscillating This is driven by the choice of L,R,C Phys272 - Spring 14 - von Doetinchem - 223

7 L-C in parallel Right after closing the switch: Phys272 - Spring 14 - von Doetinchem - 224

8 L-C in parallel Use the following substitutions: Technically any linear combination of sine and cosine solutions to our problem are allowed before taking the initial conditions into account For charge in the capacitor we know that the charge is 0 after closing the switch (t=0): Phys272 - Spring 14 - von Doetinchem - 225

9 L-C in parallel Using our initial condition: Use this result to calculate the current in the inductor (Kirchhoff's loop rule): Phys272 - Spring 14 - von Doetinchem - 226

10 Review Mutual inductance Self-inductance Magnetic field energy RL circuit Phys272 - Spring 14 - von Doetinchem - 227

11 Review LC circuit LRC circuit is a realistic approach where inductors and wire have a non-zero resistance The resistance in this case is similar to friction in mechanics Phys272 - Spring 14 - von Doetinchem - 228

12 Alternating current Electric power distribution uses alternating current (AC) Transformer can easily be used to step voltage up and down High voltages with low currents are used for longdistance power transmission to keep i2r losses small Phys272 - Spring 14 - von Doetinchem - 230

13 Root-Mean-Square (rms) values Averaging a sinusoidal current is not very useful average value is 0 Rectified average current is the average of the absolute current I cos t : Another way of describing the alternating current is the root-mean-square value: Phys272 - Spring 14 - von Doetinchem - 231

14 Resistor in an AC circuit Current and voltage have both the same dependence on cosine: When current is at maximum voltage is at maximum Current and voltage amplitudes are related in the same way as in a DC circuit Phys272 - Spring 14 - von Doetinchem - 232

15 Resistor in an AC circuit Current and voltage have both the same dependence on cosine: When current is at maximum voltage is at maximum Current and voltage amplitudes are related in the same way as in a DC circuit Phys272 - Spring 14 - von Doetinchem - 233

16 Inductor in an AC circuit Ideal inductor with zero resistance Potential difference is not caused by dissipation of energy in wire, but by self-induced emf Voltage across the conductor is proportional to rate change Phys272 - Spring 14 - von Doetinchem - 234

17 Inductor in an AC circuit Voltage peaks occur a quarter cycle earlier voltage leads the current by 90deg Inductive reactance: Be careful: current and voltage are out of phase Phys272 - Spring 14 - von Doetinchem - 235

18 The meaning of inductive reactance XL is description of the self-induced emf that opposes any change in current through a conductor More rapid variation in current increases inductive reactance High frequency voltages gives only small currents compared to lower-frequency voltages This can be used to block high frequency noise Phys272 - Spring 14 - von Doetinchem - 236

19 An inductor in an AC circuit Current amplitude in a pure inductor in a radio receiver is 250 A with voltage amplitude 3.6V at frequency 1.6MHz What inductance is needed: Change of current with different frequencies: Phys272 - Spring 14 - von Doetinchem - 237

20 Capacitor in an AC circuit Capacitor constantly charges and discharges in AC circuit Current into one plate and equal current out of other plate Equal displacement current between plates effectively we can say that alternating current is going through the capacitor Phys272 - Spring 14 - von Doetinchem - 238

21 Capacitor in an AC circuit Current has greatest magnitude when the voltage is rising or falling most steeply Voltage lags the current by 90deg Capacitive reactance: Also here: voltage and current are out of phase Phys272 - Spring 14 - von Doetinchem - 239

22 The meaning of capacitive reactance With smaller frequency the capacitive reactance becomes higher Capacitors tend to pass high frequency current and to block low frequencies (opposite to inductors) Phys272 - Spring 14 - von Doetinchem - 240

23 A resistor and a capacitor in an AC circuit 200 resistor in series with a 5.0 F capacitor Voltage across resistor is 1.2Vcos(2500Hz t) Current in circuit: Capacitive reactance: Phys272 - Spring 14 - von Doetinchem - 241

24 A resistor and a capacitor in an AC circuit 200W resistor in series with a 5.0mF capacitor Voltage across resistor is 1.2Vcos(2500Hz t) Voltage across capacitor Same current passes through resistor and capacitor, but voltages are different in amplitude and phase Phys272 - Spring 14 - von Doetinchem - 242

25 Comparing ac circuit elements Resistor shows no phase difference between voltage and current Inductors and capacitors have +/-90deg phase differences between voltage and current Resistance does not depend on the frequency Inductive and capacitive reactances depend on frequency Phys272 - Spring 14 - von Doetinchem - 243

26 Comparing ac circuit elements For 0: alternating current case goes over into DC case: no current through capacitor no inductive effect For : current in inductor goes to zero voltage across capacitor becomes zero (no charge build up) Phys272 - Spring 14 - von Doetinchem - 244

27 Crossover network for loudspeaker Phys272 - Spring 14 - von Doetinchem - 245

28 The L-R-C series circuit Instantaneous total voltage vad across all three components is equal to the source voltage Elements are connected in series current at any instant is the same at every point in the circuit Phys272 - Spring 14 - von Doetinchem - 246

29 The L-R-C series circuit Phys272 - Spring 14 - von Doetinchem - 247

30 The L-R-C series circuit For any network of resistors, inductors, capacitors: impedance is defined as the ratio of: amplitude voltage/current amplitude Phys272 - Spring 14 - von Doetinchem - 248

31 The meaning of impedance and phase angle Impedance is similar to Ohm's law V=IR in DC circuits Impedance Z plays the role of R for AC circuit Alternating currents tend to follow path of least resistance Important for sinusoidally varying voltages: Relations also work when replacing maximum voltages by RMS values Phys272 - Spring 14 - von Doetinchem - 249

32 The meaning of impedance and phase angle Impedance depends on R, L, C and In addition to impedance the phase angle between voltage and current is important C Phys272 - Spring 14 - von Doetinchem - 250

33 The meaning of impedance and phase angle L=0: C=0: R=0: L=0, C=0: Phys272 - Spring 14 - von Doetinchem - 251

34 Example for an L-R-C circuit LRC series circuit with R=300, L=60mH, C=0.5 F sinusoidal voltage with amplitude voltage V=50V at =10,000rad/s Impedance: Amplitude current and phase angle: voltage leads current by 53deg Phys272 - Spring 14 - von Doetinchem - 252

35 Example for an L-R-C circuit LRC series circuit with R=300, L=60mH, C=0.5 F sinusoidal voltage with amplitude voltage V=50V at =10,000rad/s Voltages across components: The total voltage of 50V is not equal to the scalar sum of the individual voltages! Vector sum has to be used Phys272 - Spring 14 - von Doetinchem - 253

36 Power in alternating-current circuits Alternating currents are very important for distributing and converting electric energy For a particular moment in time, the power delivered to a circuit element is: Resistor: Voltage and current are in phase energy is always supplied (product of V and I always positive) Power is not constant, average power is: Phys272 - Spring 14 - von Doetinchem - 254

37 Power in alternating-current circuits Power in an inductor: Voltage leads current by 90deg average power supplied is zero (no energy transfer over one cycle) Power in a capacitor: Voltage lags the current by 90deg average power supplied is zero Phys272 - Spring 14 - von Doetinchem - 255

38 Power in a general AC circuit Power factor cos is important to determine how much current has to be drawn for a given voltage difference Drawing more current is undesirable: i2r losses increase Ideal inductors and capacitors do not absorb net power from the line Lagging current can be corrected for with capacitors in parallel to increase power factor Phys272 - Spring 14 - von Doetinchem - 256

Circuits with inductors and alternating currents. Chapter 20 #45, 46, 47, 49

Circuits 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 information

Fall 12 PHY 122 Homework Solutions #10

Fall 12 PHY 122 Homework Solutions #10 Fall 12 PHY 122 Homework Solutions #10 HW10: Ch.30 Q5, 8, 15,17, 19 P 1, 3, 9, 18, 34, 36, 42, 51, 66 Chapter 30 Question 5 If you are given a fixed length of wire, how would you shape it to obtain the

More information

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA UNIT 5 - ELECTRICAL AND ELECTRONIC PRINCIPLES NQF LEVEL 3 OUTCOME 4 - ALTERNATING CURRENT

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA UNIT 5 - ELECTRICAL AND ELECTRONIC PRINCIPLES NQF LEVEL 3 OUTCOME 4 - ALTERNATING CURRENT EDEXCEL NATIONAL CERTIFICATE/DIPLOMA UNIT 5 - ELECTRICAL AND ELECTRONIC PRINCIPLES NQF LEVEL 3 OUTCOME 4 - ALTERNATING CURRENT 4 Understand single-phase alternating current (ac) theory Single phase AC

More information

Extra Questions - 1. 1. What current will flow in a 20Ω resistor when it is connected to a 50V supply? a) 0.4A b) 1.6A c) 2.5A

Extra Questions - 1. 1. What current will flow in a 20Ω resistor when it is connected to a 50V supply? a) 0.4A b) 1.6A c) 2.5A Extra Questions - 1 1. What current will flow in a 20Ω resistor when it is connected to a 50V supply? a) 0.4A b) 1.6A c) 2.5A 2. A current of 500mA flows in a resistance of 12Ω. What power is dissipated

More information

Eðlisfræði 2, vor 2007

Eðlisfræði 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 information

Slide 1 / 26. Inductance. 2011 by Bryan Pflueger

Slide 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 information

Practice Problems - Chapter 33 Alternating Current Circuits

Practice Problems - Chapter 33 Alternating Current Circuits Multiple Choice Practice Problems - Chapter 33 Alternating Current Circuits 4. A high-voltage powerline operates at 500 000 V-rms and carries an rms current of 500 A. If the resistance of the cable is

More information

Chapter 11. Inductors ISU EE. C.Y. Lee

Chapter 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 information

Direct versus Alternating Current Things We Can Measure

Direct versus Alternating Current Things We Can Measure Phil Sherrod W4PHS Direct versus Alternating Current Things We Can Measure Direct Current (DC) Alternating Current (AC) Voltage Voltage (peak, RMS) Current Current (peak, effective) Power True power, Apparent

More information

45. The peak value of an alternating current in a 1500-W device is 5.4 A. What is the rms voltage across?

45. The peak value of an alternating current in a 1500-W 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 5-W device is 5.4 A. What is the rms voltage across? The power and current can be used to find the peak voltage,

More information

NZQA registered unit standard 20431 version 2 Page 1 of 7. Demonstrate and apply fundamental knowledge of a.c. principles for electronics technicians

NZQA registered unit standard 20431 version 2 Page 1 of 7. Demonstrate and apply fundamental knowledge of a.c. principles for electronics technicians NZQA registered unit standard 0431 version Page 1 of 7 Title Demonstrate and apply fundamental knowledge of a.c. principles for electronics technicians Level 3 Credits 7 Purpose This unit standard covers

More information

Inductors in AC Circuits

Inductors 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 information

EE301 Lesson 14 Reading: 10.1-10.4, 10.11-10.12, 11.1-11.4 and 11.11-11.13

EE301 Lesson 14 Reading: 10.1-10.4, 10.11-10.12, 11.1-11.4 and 11.11-11.13 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 information

Basic Electrical Technology Dr. L. Umanand Department of Electrical Engineering Indian Institute of Science, Bangalore. Lecture - 33 3 phase System 4

Basic Electrical Technology Dr. L. Umanand Department of Electrical Engineering Indian Institute of Science, Bangalore. Lecture - 33 3 phase System 4 Basic Electrical Technology Dr. L. Umanand Department of Electrical Engineering Indian Institute of Science, Bangalore Lecture - 33 3 phase System 4 Hello everybody. So, in the last class we have been

More information

Alternating Current RL Circuits

Alternating Current RL Circuits Alternating Current RL Circuits Objectives. To understand the voltage/current phase behavior of RL circuits under applied alternating current voltages, and. To understand the current amplitude behavior

More information

2. A conductor of length 2m moves at 4m/s at 30 to a uniform magnetic field of 0.1T. Which one of the following gives the e.m.f. generated?

2. A conductor of length 2m moves at 4m/s at 30 to a uniform magnetic field of 0.1T. Which one of the following gives the e.m.f. generated? Extra Questions - 2 1. A straight length of wire moves through a uniform magnetic field. The e.m.f. produced across the ends of the wire will be maximum if it moves: a) along the lines of magnetic flux

More information

EMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors

EMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors Chapter 19 DC Electrical Circuits Topics in Chapter 19 EMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors

More information

BASIC ELECTRONICS AC CIRCUIT ANALYSIS. December 2011

BASIC ELECTRONICS AC CIRCUIT ANALYSIS. December 2011 AM 5-202 BASIC ELECTRONICS AC CIRCUIT ANALYSIS December 2011 DISTRIBUTION RESTRICTION: Approved for Pubic Release. Distribution is unlimited. DEPARTMENT OF THE ARMY MILITARY AUXILIARY RADIO SYSTEM FORT

More information

PHASOR DIAGRAMS HANDS-ON RELAY SCHOOL WSU PULLMAN, WA. RON ALEXANDER - BPA

PHASOR DIAGRAMS HANDS-ON RELAY SCHOOL WSU PULLMAN, WA. RON ALEXANDER - BPA PHASOR DIAGRAMS HANDS-ON 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 information

Lab #4 Capacitors and Inductors. Capacitor and Inductor Transient Response

Lab #4 Capacitors and Inductors. Capacitor and Inductor Transient Response Capacitor and Inductor Transient Response Capacitor Theory Like resistors, capacitors are also basic circuit elements. Capacitors come in a seemingly endless variety of shapes and sizes, and they can all

More information

AC Generators. Basic Generator

AC Generators. Basic Generator AC Generators Basic Generator A basic generator consists of a magnetic field, an armature, slip rings, brushes and a resistive load. The magnetic field is usually an electromagnet. An armature is any number

More information

Chapter 30 Inductance

Chapter 30 Inductance Chapter 30 Inductance - Mutual Inductance - Self-Inductance and Inductors - Magnetic-Field Energy - The R- Circuit - The -C Circuit - The -R-C Series Circuit . Mutual Inductance - A changing current in

More information

Three phase circuits

Three phase circuits Three phase circuits THREE PHASE CIRCUITS THREE-PHASE ADVANTAGES 1. The horsepower rating of three-phase motors and the kva rating of three-phase transformers are 150% greater than single-phase motors

More information

ELECTRICAL ENGINEERING Vol. I - Direct Current and Alternating Current Systems - N. Rajkumar DIRECT CURRENT AND ALTERNATING CURRENT SYSTEMS

ELECTRICAL 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 information

Alternating-Current Circuits

Alternating-Current Circuits hapter 1 Alternating-urrent ircuits 1.1 A Sources... 1-1. Simple A circuits... 1-3 1..1 Purely esistive load... 1-3 1.. Purely Inductive oad... 1-5 1..3 Purely apacitive oad... 1-7 1.3 The Series ircuit...

More information

RLC Resonant Circuits

RLC 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 information

DOE FUNDAMENTALS HANDBOOK ELECTRICAL SCIENCE Volume 3 of 4

DOE FUNDAMENTALS HANDBOOK ELECTRICAL SCIENCE Volume 3 of 4 DOE-HDBK-1011/3-92 JUNE 1992 DOE FUNDAMENTALS HANDBOOK ELECTRICAL SCIENCE Volume 3 of 4 U.S. Department of Energy Washington, D.C. 20585 FSC-6910 Distribution Statement A. Approved for public release;

More information

Solution Derivations for Capa #11

Solution 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 information

A Capacitor Paradox. Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544 (July 10, 2002; updated June 16, 2013)

A Capacitor Paradox. Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544 (July 10, 2002; updated June 16, 2013) Problem A Capacitor Paradox Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ 085 (July 0, 00; updated June 6, 03) Two capacitors of equal capacitance C are connected in parallel

More information

April 1. Physics 272. Spring 2014 http://www.phys.hawaii.edu/~philipvd/pvd_14_spring_272_uhm.html. Prof. Philip von Doetinchem philipvd@hawaii.

April 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 information

Chapter 12 Driven RLC Circuits

Chapter 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 information

W03 Analysis of DC Circuits. Yrd. Doç. Dr. Aytaç Gören

W03 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 information

March 20. Physics 272. Spring 2014 Prof. Philip von Doetinchem

March 20. Physics 272. Spring 2014  Prof. Philip von Doetinchem Physics 272 March 20 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 - 129 Summary No magnetic

More information

LCR Parallel Circuits

LCR Parallel Circuits Module 10 AC Theory Introduction to What you'll learn in Module 10. The LCR Parallel Circuit. Module 10.1 Ideal Parallel Circuits. Recognise ideal LCR parallel circuits and describe the effects of internal

More information

Vectors and Phasors. A supplement for students taking BTEC National, Unit 5, Electrical and Electronic Principles. Owen Bishop

Vectors and Phasors. A supplement for students taking BTEC National, Unit 5, Electrical and Electronic Principles. Owen Bishop Vectors and phasors Vectors and Phasors A supplement for students taking BTEC National, Unit 5, Electrical and Electronic Principles Owen Bishop Copyrught 2007, Owen Bishop 1 page 1 Electronics Circuits

More information

Last time : energy storage elements capacitor.

Last 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 information

Power Factor Correction for Power Systems First Semester Report Spring Semester 2007

Power Factor Correction for Power Systems First Semester Report Spring Semester 2007 Power Factor Correction for Power Systems First Semester Report Spring Semester 2007 by Pamela Ackerman Prepared to partially fulfill the requirements for EE401 Department of Electrical and Computer Engineering

More information

Capacitors and Inductors

Capacitors and Inductors P517/617 ec2, P1 Capacitors and Inductors 1) Capacitance: Capacitance (C) is defined as the ratio of charge (Q) to voltage () on an object. Define capacitance by: C = Q/ = Coulombs/olt = Farad. Capacitance

More information

Name Date Day/Time of Lab Partner(s) Lab TA

Name Date Day/Time of Lab Partner(s) Lab TA Name Date Day/Time of Lab Partner(s) Lab TA Objectives LAB 7: AC CIRCUITS To understand the behavior of resistors, capacitors, and inductors in AC Circuits To understand the physical basis of frequency-dependent

More information

The current that flows is determined by the potential difference across the conductor and the resistance of the conductor (Ohm s law): V = IR P = VI

The current that flows is determined by the potential difference across the conductor and the resistance of the conductor (Ohm s law): V = IR P = VI PHYS1000 DC electric circuits 1 Electric circuits Electric current Charge can move freely in a conductor if an electric field is present; the moving charge is an electric current (SI unit is the ampere

More information

Chapter 35 Alternating Current Circuits

Chapter 35 Alternating Current Circuits hapter 35 Alternating urrent ircuits ac-ircuits Phasor Diagrams Resistors, apacitors and nductors in ac-ircuits R ac-ircuits ac-ircuit power. Resonance Transformers ac ircuits Alternating currents and

More information

Homework #11 203-1-1721 Physics 2 for Students of Mechanical Engineering

Homework #11 203-1-1721 Physics 2 for Students of Mechanical Engineering Homework #11 203-1-1721 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 information

CAPACITIVE REACTANCE. We have already discussed the operation of a capacitor in a DC circuit, however let's just go over the main principles again.

CAPACITIVE REACTANCE. We have already discussed the operation of a capacitor in a DC circuit, however let's just go over the main principles again. Reading 13 Ron Bertrand VK2DQ http://www.radioelectronicschool.com CAPACITOR IN A DC CIRCUIT CAPACITIVE REACTANCE We have already discussed the operation of a capacitor in a DC circuit, however let's just

More information

Frequency response of a general purpose single-sided OpAmp amplifier

Frequency response of a general purpose single-sided OpAmp amplifier Frequency response of a general purpose single-sided OpAmp amplifier One configuration for a general purpose amplifier using an operational amplifier is the following. The circuit is characterized by:

More information

Current and Temperature Ratings

Current and Temperature Ratings Document 361-1 Current and Temperature Ratings Introduction This application note describes: How to interpret Coilcraft inductor current and temperature ratings Our current ratings measurement method and

More information

ε: Voltage output of Signal Generator (also called the Source voltage or Applied

ε: 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 information

CHAPTER 30: Inductance, Electromagnetic Oscillations, and AC Circuits

CHAPTER 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 information

The Importance of the X/R Ratio in Low-Voltage Short Circuit Studies

The Importance of the X/R Ratio in Low-Voltage Short Circuit Studies The Importance of the X/R Ratio in Low-Voltage Short Circuit Studies DATE: November 17, 1999 REVISION: AUTHOR: John Merrell Introduction In some short circuit studies, the X/R ratio is ignored when comparing

More information

Experiment V: The AC Circuit, Impedance, and Applications to High and Low Pass Filters

Experiment V: The AC Circuit, Impedance, and Applications to High and Low Pass Filters Experiment : The AC Circuit, Impedance, and Applications to High and Low Pass Filters I. eferences Halliday, esnick and Krane, Physics, ol. 2, 4th Ed., Chapters 33 Purcell, Electricity and Magnetism, Chapter

More information

Chapter 12: Three Phase Circuits

Chapter 12: Three Phase Circuits Chapter 12: Three Phase Circuits 12.1 What Is a Three Phase Circuit? 12.2 Balance Three Phase Voltages 12.3 Balance Three Phase Y to Y Connection 12.4 Other Balance Three Phase Connections 12.5 Power in

More information

Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits. Copyright 2009 Pearson Education, Inc.

Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits. Copyright 2009 Pearson Education, Inc. Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits 30-1 Mutual Inductance Mutual inductance: a changing current in one coil will induce a current in a second coil: Coil 1 produces a flux

More information

Inductors & Inductance. Electronic Components

Inductors & Inductance. Electronic Components Electronic Components Induction In 1824, Oersted discovered that current passing though a coil created a magnetic field capable of shifting a compass needle. Seven years later, Faraday and Henry discovered

More information

Module P5.4 AC circuits and electrical oscillations

Module P5.4 AC circuits and electrical oscillations F L E X I B L E L E A R N I N G A P P R O A C H T O P H Y S I C S Module P5.4 Opening items. Module introduction.2 Fast track questions.3 Ready to study? 2 AC circuits 2. Describing alternating currents

More information

EE 221 AC Circuit Power Analysis. Instantaneous and average power RMS value Apparent power and power factor Complex power

EE 221 AC Circuit Power Analysis. Instantaneous and average power RMS value Apparent power and power factor Complex power EE 1 AC Circuit Power Analysis Instantaneous and average power RMS value Apparent power and power factor Complex power Instantaneous Power Product of time-domain voltage and time-domain current p(t) =

More information

Series & Parallel Impedance Parameters and Equivalent Circuits

Series & Parallel Impedance Parameters and Equivalent Circuits Chroma ystems olutions, Inc. eries & arallel Impedance arameters and Equivalent Circuits Keywords: Impedance, capacitance, resistance Title: roduct Family: eries & arallel Impedance arameters and Equivalent

More information

7.1 POWER IN AC CIRCUITS

7.1 POWER IN AC CIRCUITS C H A P T E R 7 AC POWER he aim of this chapter is to introduce the student to simple AC power calculations and to the generation and distribution of electric power. The chapter builds on the material

More information

Induced voltages and Inductance Faraday s Law

Induced 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 information

Lesson 3 DIRECT AND ALTERNATING CURRENTS. Task. The skills and knowledge taught in this lesson are common to all missile repairer tasks.

Lesson 3 DIRECT AND ALTERNATING CURRENTS. Task. The skills and knowledge taught in this lesson are common to all missile repairer tasks. Lesson 3 DIRECT AND ALTERNATING CURRENTS Task. The skills and knowledge taught in this lesson are common to all missile repairer tasks. Objectives. When you have completed this lesson, you should be able

More information

Application Guide. Power Factor Correction (PFC) Basics

Application Guide. Power Factor Correction (PFC) Basics Power Factor Correction (PFC) Basics Introduction Power Factor, in simple terms, is a number between zero and one that represents the ratio of the real power to apparent power. Real power (P), measured

More information

Chapter 5: Analysis of Time-Domain Circuits

Chapter 5: Analysis of Time-Domain Circuits Chapter 5: Analysis of Time-Domain Circuits This chapter begins the analysis of circuits containing elements with the ability to store energy: capacitors and inductors. We have already defined each of

More information

1. Title Electrical fundamentals II (Mechanics Repair and Maintenance)

1. Title Electrical fundamentals II (Mechanics Repair and Maintenance) 1. Title Electrical fundamentals II (Mechanics Repair and Maintenance) 2. Code EMAMBG429A 3. Range The knowledge is needed for a wide range of aircraft repair and maintenance works,e.g. applicable to aircrafts,

More information

Chapter 29 Alternating-Current Circuits

Chapter 29 Alternating-Current Circuits hapter 9 Alternating-urrent 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 information

Impedance Matching and Matching Networks. Valentin Todorow, December, 2009

Impedance Matching and Matching Networks. Valentin Todorow, December, 2009 Impedance Matching and Matching Networks Valentin Todorow, December, 2009 RF for Plasma Processing - Definition of RF What is RF? The IEEE Standard Dictionary of Electrical and Electronics Terms defines

More information

= (0.400 A) (4.80 V) = 1.92 W = (0.400 A) (7.20 V) = 2.88 W

= (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 information

Kirchhoff's Rules and Applying Them

Kirchhoff's Rules and Applying Them [ Assignment View ] [ Eðlisfræði 2, vor 2007 26. DC Circuits Assignment is due at 2:00am on Wednesday, February 21, 2007 Credit for problems submitted late will decrease to 0% after the deadline has passed.

More information

Line Reactors and AC Drives

Line Reactors and AC Drives Line Reactors and AC Drives Rockwell Automation Mequon Wisconsin Quite often, line and load reactors are installed on AC drives without a solid understanding of why or what the positive and negative consequences

More information

Chapter 25 Alternating Currents

Chapter 25 Alternating Currents Physics Including Human Applications 554 Chapter 25 Alternating Currents GOALS When you have mastered the contents of this chapter, you will be able to achieve the following goals: Definitions Define each

More information

Capacitors in Circuits

Capacitors 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 information

Experiment #11: LRC Circuit (Power Amplifier, Voltage Sensor)

Experiment #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 information

The Ideal Transformer. Description and Circuit Symbol

The Ideal Transformer. Description and Circuit Symbol The Ideal Transformer Description and Circuit Symbol As with all the other circuit elements, there is a physical transformer commonly used in circuits whose behavior can be discussed in great detail. However,

More information

February 6. Physics 272. Spring 2014 Prof. Philip von Doetinchem

February 6. Physics 272. Spring 2014  Prof. Philip von Doetinchem Physics 272 February 6 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 - 216 Summary Charges

More information

Diode Applications. by Kenneth A. Kuhn Sept. 1, 2008. This note illustrates some common applications of diodes.

Diode Applications. by Kenneth A. Kuhn Sept. 1, 2008. This note illustrates some common applications of diodes. by Kenneth A. Kuhn Sept. 1, 2008 This note illustrates some common applications of diodes. Power supply applications A common application for diodes is converting AC to DC. Although half-wave rectification

More information

Diodes have an arrow showing the direction of the flow.

Diodes 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 information

Critical thin-film processes such as deposition and etching take place in a vacuum

Critical thin-film processes such as deposition and etching take place in a vacuum WHITEPAPER INTRODUCING POWER SUPPLIES AND PLASMA Critical thin-film processes such as deposition and etching take place in a vacuum SYSTEMS chamber in the presence of a plasma. A plasma is an electrically

More information

Lecture 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) 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 information

Series and Parallel Circuits

Series and Parallel Circuits Series and Parallel Circuits Components in a circuit can be connected in series or parallel. A series arrangement of components is where they are inline with each other, i.e. connected end-to-end. A parallel

More information

ANALYTICAL METHODS FOR ENGINEERS

ANALYTICAL METHODS FOR ENGINEERS UNIT 1: Unit code: QCF Level: 4 Credit value: 15 ANALYTICAL METHODS FOR ENGINEERS A/601/1401 OUTCOME - TRIGONOMETRIC METHODS TUTORIAL 1 SINUSOIDAL FUNCTION Be able to analyse and model engineering situations

More information

Problem Solving 8: RC and LR Circuits

Problem Solving 8: RC and LR Circuits 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

More information

Physics 102: Lecture 13 RLC circuits & Resonance

Physics 102: Lecture 13 RLC circuits & Resonance Physics 102: Lecture 13 L circuits & esonance L Physics 102: Lecture 13, Slide 1 I = I max sin(2pft) V = I max sin(2pft) V in phase with I eview: A ircuit L V = I max X sin(2pft p/2) V lags I IE I V t

More information

TRANSISTOR AMPLIFIERS AET 8. First Transistor developed at Bell Labs on December 16, 1947

TRANSISTOR AMPLIFIERS AET 8. First Transistor developed at Bell Labs on December 16, 1947 AET 8 First Transistor developed at Bell Labs on December 16, 1947 Objective 1a Identify Bipolar Transistor Amplifier Operating Principles Overview (1) Dynamic Operation (2) Configurations (3) Common Emitter

More information

Precision Diode Rectifiers

Precision Diode Rectifiers by Kenneth A. Kuhn March 21, 2013 Precision half-wave rectifiers An operational amplifier can be used to linearize a non-linear function such as the transfer function of a semiconductor diode. The classic

More information

First Year (Electrical & Electronics Engineering)

First Year (Electrical & Electronics Engineering) Z PRACTICAL WORK BOOK For The Course EE-113 Basic Electrical Engineering For First Year (Electrical & Electronics Engineering) Name of Student: Class: Batch : Discipline: Class Roll No.: Examination Seat

More information

ES250: Electrical Science. HW7: Energy Storage Elements

ES250: 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 information

Reading assignment: All students should read the Appendix about using oscilloscopes.

Reading assignment: All students should read the Appendix about using oscilloscopes. 10. A ircuits* Objective: To learn how to analyze current and voltage relationships in alternating current (a.c.) circuits. You will use the method of phasors, or the vector addition of rotating vectors

More information

1) Magnetic field lines come out of the south pole of a magnet and enter at the north pole.

1) Magnetic field lines come out of the south pole of a magnet and enter at the north pole. Exam Name 1) Magnetic field lines come out of the south pole of a magnet and enter at the north pole. 2) Which of the following statements is correct? A) Earth's north pole is magnetic north. B) The north

More information

104 Practice Exam 2-3/21/02

104 Practice Exam 2-3/21/02 104 Practice Exam 2-3/21/02 1. Two electrons are located in a region of space where the magnetic field is zero. Electron A is at rest; and electron B is moving westward with a constant velocity. A non-zero

More information

Alternating Current Circuits and Electromagnetic Waves

Alternating Current Circuits and Electromagnetic Waves Arecibo, a large radio telescope in Puerto Rico, gathers electromagnetic radiation in the form of radio waves. These long wavelengths pass through obscuring dust clouds, allowing astronomers to create

More information

Let 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.

Let 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 information

Aircraft Electrical System

Aircraft Electrical System Chapter 9 Aircraft Electrical System Introduction The satisfactory performance of any modern aircraft depends to a very great degree on the continuing reliability of electrical systems and subsystems.

More information

9 2339A The Three Basics of Electric Circuits: Voltage, Current, and Resistance

9 2339A The Three Basics of Electric Circuits: Voltage, Current, and Resistance PROGRESS RECORD Study your lessons in the order listed below. Electronics Technology and Advanced Troubleshooting I & II Number of Lessons: 118 Completion Time: 36 months 1 2330A Current and Voltage 2

More information

Course Syllabus: AP Physics C Electricity and Magnetism

Course Syllabus: AP Physics C Electricity and Magnetism Course Syllabus: AP Physics C Electricity and Magnetism Course Description: AP Physics C is offered as a second year physics course to students who are planning to major in the physical sciences or in

More information

Physics 6C, Summer 2006 Homework 2 Solutions

Physics 6C, Summer 2006 Homework 2 Solutions Physics 6C, Summer 006 Homework Solutions All problems are from the nd edition of Walker. Numerical values are different for each student. Chapter 3 Problems. Figure 3-30 below shows a circuit containing

More information

E X P E R I M E N T 7

E X P E R I M E N T 7 E X P E R I M E N T 7 The RC Circuit Produced by the Physics Staff at Collin College Copyright Collin College Physics Department. All Rights Reserved. University Physics II, Exp 7: The RC Circuit Page

More information

Student Name Instructor Name. High School or Vocational Center Grade. COMPETENCY RECORD FOR ARTICULATION Muskegon Community College Electronics

Student Name Instructor Name. High School or Vocational Center Grade. COMPETENCY RECORD FOR ARTICULATION Muskegon Community College Electronics Student Name Instructor Name High School or Vocational Center Grade COMPETENCY RECORD FOR ARTICULATION Muskegon Community College Electronics Please check below each skill the student has mastered as described,

More information

RUPHYS2272015 ( RUPHY227F2015 ) My Courses Course Settings University Physics with Modern Physics, 14e Young/Freedman

RUPHYS2272015 ( 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 information

Physics 2102 Lecture 19. Physics 2102

Physics 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 information

Power measurement in balanced 3 phase circuits and power factor improvement. 1 Power in Single Phase Circuits. Experiment no 1

Power measurement in balanced 3 phase circuits and power factor improvement. 1 Power in Single Phase Circuits. Experiment no 1 Experiment no 1 Power measurement in balanced 3 phase circuits and power factor improvement 1 Power in Single Phase Circuits Let v = m cos(ωt) = cos(ωt) is the voltage applied to a R-L circuit and i =

More information

Physics 9 Fall 2009 Homework 6 - Solutions

Physics 9 Fall 2009 Homework 6 - Solutions . Chapter 32 - Exercise 8. Physics 9 Fall 29 Homework 6 - s How much power is dissipated by each resistor in the figure? First, let s figure out the current in the circuit. Since the two resistors are

More information

L and C connected together. To be able: To analyse some basic circuits.

L 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 information

An inductance L and a resistance R are connected to a source of emf as shown. When switch S 1 is closed, a current begins to flow. The final value of the current is A. directly proportional to RL. B. directly

More information