Module M2-1 Electrical Engineering
|
|
- Ezra Carpenter
- 5 years ago
- Views:
Transcription
1 Module M2-1 Electrical Engineering LECTURE 6 MAGNETIC FORCES MATERIALS INDUCTANCE SEPTEMBER 22, Magnetic forces Magnetic materials Magnetization Inductance Magnetic energy Topics 2 After this lecture, you will be able to understand natural phenomena and engineering applications related to the topics in previous slide calculate Lorenz force calculate force in a current-carrying wire in a uniform magnetic field state the relationship of B and H in magnetic materials calculate the inductance of a solenoid calculate the magnetic energy of an inductor 3 Magnetic forces 4 FORCE ON A MOVING CHARGE FORCE ON A CURRENT-CARRYING WIRE
2 Recall that an electric field exerts a force on charges 5 Moving charges in magnetic field experience a force 6 This picture shows the vector force for Q>0, so F and E are in the same direction E Electric field intensity A charge Q (+ or ) F = Q E The charge can be stationary or moving VDO 62: force on a current-carrying wire under the magnetic field Duration: 0:36 min VDO 136: Force acting on moving changes in the magnetic field Duration: 0:55 min A magnetic field, however, exerts a force on a moving charge 7 Recall that the direction of v B to the right-hand rule 8 is according B v (velocity of the charge) v B magnetic flux density A charge Q (+ or ) v The force exerted by the magnetic field on a moving charge is B F = Qv B VDO 64: cross product of v and B Duration: 1:07 min (trimmed 0:00-1:12)
3 For example, the direction of force will be as follows (continued) 9 10 a positive charge Q=2C = F v + 2v B B v a negative charge Q = 2 C v B B = 2v B F v B จ ดจะเคล อนท อย างไร เม อเล อนแม เหล กเข าหาม น? (VDO titles: Magnetic force on moving electrons) (continued) จ ดจะเคล อนท อย างไร เม อเล อนแม เหล กเข าหาม น? v B VDO 138: Question (90 ) Duration: 0:19 min (trim 0:00-0:19) S N VDO 139: Answer (90 ) Duration: 0:40 min (trim 0:16-0:56) จ ด = ตำแหน งท อ เล กตรอนเคล อนท ออกจากจอ v B (ก) ข น (จ) อย ท เด ม (ค) ลง (ข) ขวา (ง) ซ าย (ข) ขวา (ง) ซ าย (ก) ข น (จ) อย ท เด ม (ค) ลง VDO 139: Answer (180 ) Duration: 0:25 min (trim 1:16-2:21)
4 VDO 56: Motion of charge in magnetic field (circular and helix) 13 The force on a moving charge under both electric field and magnetic field is a sum v (velocity of the charge) B E A charge Q (+ or ) of forces exerted by each field F = Q( E + v B) Duration: 1:34 min The above is known as Lorentz force equation A current-carrying wire in a magnetic field experience force (cont d) Which direction the wire will move? uniform B S I L B + V L N Current is a flow of electrons Force on a straight wire in a uniform F = I L B current vector that points in the direction of current and has the magnitude of the wire length B is (a) (b) Inward into the screen Outward from the screen VDO 185: force on a wire Duration: 0:45 min (trimmed 0:03 0:48 min) At 0.18 min, the flow of electricity means the flow of current
5 (cont d) When the current flows in the opposite direction, the direction of force is reversed 17 The force serves to rotate a loop in a DC motor 18 S B L N VDO 185: force on a wire (another direction of current) Duration: 0:35 min (trimmed 0:45 1:20 min) VDO 119: Simple DC motor circuit Duration: 0:20 min Magnetic Materials 19 MAGNETIZATION PERMEABILITY THE NATURE OF MAGNETIC MATERIALS Q Under an influence of an external magnetic field, how does a material such as iron become magnet? A A material becomes magnet because their dipole moments align approximately in one direction. In the following slides, we will explain this answer in detail. 20
6 In a simple model, an electron moves in orbit of the nucleus and spins around itself 21 Orbital movement and spin of electrons are analogous to movements of charges 22 orbiting electron spinning electron orbiting electron =) orbital dipole moment spinning electron =) spin dipole moment electron electron nucleus nucleus Similar to the earth, which moves around the sun and spins around itself which causes magnetism or dipole moments Orbital movement causes the orbital dipole moment Spinning causes the spin dipole moment A magnetic domain is a small region where the dipole moments point in the same direction Magnetic domains can be seen visually by the Kerr microscopy technique A magnetic domain a dipole moment (vector) due to an orbital or a spinning electron Each magnetic domain has the size of around 10-6 m A piece of magnetic materials such as magnets may have millions of magnetic domains
7 Each domain has the net dipole moment or the vector sum of all dipole moments in the domain In magnetic materials, net moments will align in the same direction if we apply an external magnetic field 25 a piece of iron 26 Streamlines of H the net dipole moment in a magnetic domain Magnetic domains under no external magnetic field H Magnetic domains under the magnetic field VDOs: Magnetic domains under the external magnetic field VDO 25: demonstration Duration: 1:15 min 27 VDO 142: animation Duration: 0:52 min (trim 0:10 to 1:02) These VDOs do not consider an effect known as the hysteresis effect. The purpose of this VDOs is to illustrate a basic concept of magnetized domains. In a material, magnetization (a vector) appears in a relationship of B and H. dipole moment in a domain free space (vacuum) a material H 28 Recall: in free space (vacuum), we have a relationship B = µ 0 H (free space) Magnetic flux density Magnetic field intensity In a material (such iron), the relationship is B = µ 0 ( H + M) (generic material) Magnetization (the vector sum of all the magnetic dipole moments)
8 The magnetization M is proportional to the magnetic field intensity H, i.e., M = m H. 29 Materials are divided into 3 groups according to the basis of their magnetic susceptibilities 30 material s magnetic susceptibility (no unit, dimensionless) gold water vacuum air aluminum cobalt iron (99.96% pure) Magnetic susceptibility of various materials Source: (p. 137, S. M. Wenthworth, 2005) m measures how well the dipole moments align themselves under an external magnetic field Positive value = dipole moments align with the external field Zero = dipole moments do not align with the external field Negative =dipole moments in the opposite direction of the external field paramagnetic materials: gold water air aluminum cobalt iron (99.96% pure) diamagnetic materials: ferromagnetic materials: Their m s are negative Their m s are positive Their m s are positive and small and large The relationship between B and. in a material is then... H B = µ 0 (1 + m ) H 31 Inductance = µ 0 µ r H = µ H 32 INDUCTORS relative permeability: µ r =(1+ m ) permeability: µ = µ r µ 0 INDUCTANCE OF A SOLENOID
9 Inductors are common electronic components 33 A simple way to make an inductor is to wrap a wire tightly in circles 34 If you wrap the wire in a straight line, you have a solenoid If you wrap the wire as a donut, you have a toroid Here is the definition of inductance (or self-inductance) Definition: Inductance is the ratio of two terms: 35 Inductance of a solenoid is st turn magnetic flux linkage (Wb) L = I Inductance (H) current flowing in the inducting structure (A) Nth turn d permeability of the material at the core L = µn 2 S d N = Number of turns cross-section area of the core length of the solenoid
10 Inductor stores magnetic energy 37 Inductance L current I The magnetic energy stored in an inductor is W H = 1 2 LI2 Here are new symbols in this lecture Symbol Name Unit Abbreviation v M L m µ r µ W H 38 v velocity meter/second m/s magnetization ampere/meter A/m magnetic susceptibility - - relative permeability - - permeability henry/meter H/m inductance henry H magnetic flux linkage weber Wb magnetic energy joule J Summary Magnetic forces Lorentz force equation Review of cross product Force on a straight current-carrying wire Magnetic materials Magnetization Relative permeability Permeability Inductance Definition Inductance of a solenoid Magnetic energy stored in an inductor 39
Physics 202, Lecture 14
Physics 202, Lecture 14 Today s Topics Sources of the Magnetic Field (Ch. 27) Review of Biot-Savart Law Ampere s Law Magnetism in Matter Magnetic Fields (Biot-Savart): Summary Current loop, distance on
More informationMagnetostatics III. P.Ravindran, PHY041: Electricity & Magnetism 1 January 2013: Magntostatics
Magnetostatics III Magnetization All magnetic phenomena are due to motion of the electric charges present in that material. A piece of magnetic material on an atomic scale have tiny currents due to electrons
More informationMagnetic Force on a Moving Charge
Magnetic Force on a Moving Charge Electric charges moving in a magnetic field experience a force due to the magnetic field. Given a charge Q moving with velocity u in a magnetic flux density B, the vector
More informationMagnetic Field Lines for a Loop
Magnetic Field Lines for a Loop Figure (a) shows the magnetic field lines surrounding a current loop Figure (b) shows the field lines in the iron filings Figure (c) compares the field lines to that of
More informationThe initial magnetization curve shows the magnetic flux density that would result when an increasing magnetic field is applied to an initially
MAGNETIC CIRCUITS The study of magnetic circuits is important in the study of energy systems since the operation of key components such as transformers and rotating machines (DC machines, induction machines,
More informationChapter 22, Magnetism. Magnets
Chapter 22, Magnetism Magnets Poles of a magnet (north and south ) are the ends where objects are most strongly attracted. Like poles repel each other and unlike poles attract each other Magnetic poles
More informationPhysics 202, Lecture 14
Physics 202, Lecture 14 Today s Topics Sources of the Magnetic Field (Ch. 30) Review: iot-savart Law, Ampere s Law Displacement Current: Ampere-Maxwell Law Magnetism in Matter Maxwell s Equations (prelude)
More informationElectric vs Magnetic Comparison
5. MAGNETOSTATICS Electric vs Magnetic Comparison J=σE Most dielectrics µ = µo excluding ferromagnetic materials Gauss s Law E field is conservative Gauss s law (integral) Conservative E field Electric
More informationOutside the solenoid, the field lines are spread apart, and at any given distance from the axis, the field is weak.
Applications of Ampere s Law continued. 2. Field of a solenoid. A solenoid can have many (thousands) of turns, and perhaps many layers of windings. The figure shows a simple solenoid with just a few windings
More informationDAY 12. Summary of Topics Covered in Today s Lecture. Magnetic Fields Exert Torques on a Loop of Current
DAY 12 Summary of Topics Covered in Today s Lecture Magnetic Fields Exert Torques on a Loop of Current Imagine a wire bent into the shape of a rectangle with height h and width w. The wire carries a current
More informationMagnetic field creation (example of a problem)
1 Magnetic field creation (example of a problem) Three long, straight wires are parallel to each other and perpendicular to the plane of the paper. Their mutual location is shown in Figure below. The currents
More informationCHAPTER 20 Magnetism
CHAPTER 20 Magnetism Units Magnets and Magnetic Fields Electric Currents Produce Magnetic Fields Force on an Electric Current in a Magnetic Field; Definition of B Force on Electric Charge Moving in a Magnetic
More informationCh. 28: Sources of Magnetic Fields
Ch. 28: Sources of Magnetic Fields Electric Currents Create Magnetic Fields A long, straight wire A current loop A solenoid Slide 24-14 Biot-Savart Law Current produces a magnetic field The Biot-Savart
More informationGeneral Physics II. Magnetism
General Physics II Magnetism Bar magnet... two poles: N and S Like poles repel; Unlike poles attract. Bar Magnet Magnetic Field lines [B]: (defined in a similar way as electric field lines, direction and
More informationChapter 21. Magnetism
Chapter 21 Magnetism Magnets Poles of a magnet are the ends where objects are most strongly attracted Two poles, called north and south Like poles repel each other and unlike poles attract each other Similar
More informationMagnetic materials, & inductance & Torque. P.Ravindran, PHY041: Electricity & Magnetism 8 February 2013: Magnetic materials, inductance, and torque
Magnetic materials, & inductance & Torque Magnetic Properties of Materials Magnetic behavior of a material is due to the interaction of magnetic dipole moments of its atoms with an external magnetic field.
More informationKirchhoff s rules, example
Kirchhoff s rules, example Magnets and Magnetism Poles of a magnet are the ends where objects are most strongly attracted. Two poles, called north and south Like poles repel each other and unlike poles
More informationDisplacement Current. Ampere s law in the original form is valid only if any electric fields present are constant in time
Displacement Current Ampere s law in the original form is valid only if any electric fields present are constant in time Maxwell modified the law to include timesaving electric fields Maxwell added an
More informationSection 24.8 Magnets and Magnetic Materials Pearson Education, Inc.
Section 24.8 Magnets and Magnetic Materials A Current Loop in a Uniform Field Slide 24-2 A Current Loop in a Uniform Field A magnetic dipole will rotate to line up with a magnetic field just as an electric
More informationChapter 13 Principles of Electromechanics
Chapter 13 Principles of Electromechanics Jaesung Jang Electrostatics B-H Magnetization Curves & Magnetic Hysteresis 1 Electrostatics & Magnetic Flux The force on a stationary charge q in an electric field
More informationELECTROMAGNETISM The study of the relationship between electricity and magnetism is called
ELECTROMAGNETISM The study of the relationship between electricity and magnetism is called Electromagnetism Before, 1819 it was believed that there was no connection between electricity and magnetism.
More informationElectromagnetism II. Cristina Lazzeroni Lecture 5
Electromagnetism II Cristina Lazzeroni c.lazzeroni@bham.ac.uk Lecture 5 Maxwell s equations for free space They apply simultaneously at any given point in free space. How do they change in presence of
More informationModule M2-1 Electrical Engineering
Module M2- Electrical Engineering LECTURE 2 COULOMB S LAW AND ELECTRIC FIELD INTENSITY AUGUST 8, 26 Topics Phenomena related to electrostatics Transfer of charges Insulators and conductors Polarization
More informationPhysics 12. Unit 8 Magnetic Field and Electromagnetism Part I
Physics 12 Unit 8 Magnetic Field and Electromagnetism Part I 1. Basics about magnets Magnets have been known by ancient people since long time ago, referring to the iron-rich rocks, called magnetite or
More informationMAGNETISM. Magnetism. Magnetism is a result of electrons spinning on their own axis around the nucleus (Figure 18). Basic Electrical Theory
Basic Electrical Theory Certain metals and metallic oxides have the ability to attract other metals. This property is called magnetism, and the materials which have this property are called magnets. Some
More informationB for a Long, Straight Conductor, Special Case. If the conductor is an infinitely long, straight wire, θ 1 = 0 and θ 2 = π The field becomes
B for a Long, Straight Conductor, Special Case If the conductor is an infinitely long, straight wire, θ 1 = 0 and θ 2 = π The field becomes μ I B = o 2πa B for a Curved Wire Segment Find the field at point
More informationChapter 30 Sources of the magnetic field
Chapter 30 Sources of the magnetic field Force Equation Point Object Force Point Object Field Differential Field Is db radial? Does db have 1/r2 dependence? Biot-Savart Law Set-Up The magnetic field is
More informationModule M2-1 Electrical Engineering. Natural phenomena and engineering applications. Topics. After this tutorial, you will be able to
Module M2-1 Electrical Engineering LECTURE 7 TME-VRYNG FELD MXWELL EQUTON 1 Topics Natural phenomena and engineering applications of time-varying magnetic fields Faraday s law Lenz s law Maxwell s equations
More informationMagnetic field and magnetic poles
Magnetic field and magnetic poles Magnetic Field B is analogically similar to Electric Field E Electric charges (+ and -)are in analogy to magnetic poles(north:n and South:S). Paramagnetism, Diamagnetism,
More informationTorque on a Current Loop
Today Chapter 19 Magnetism Torque on a current loop, electrical motor Magnetic field around a current carrying wire. Ampere s law Solenoid Material magnetism Clicker 1 Which of the following is wrong?
More informationInduction and Inductance
Induction and Inductance Key Contents Faraday s law: induced emf Induction and energy transfer Inductors and inductance RL circuits Magnetic energy density The First Experiment 1. A current appears only
More informationMagnetic Forces and Fields (Chapters 29-30)
Magnetic Forces and Fields (Chapters 29-30) Magnetism Magnetic Materials and Sources Magnetic Field, Magnetic Force Force on Moving Electric Charges Lorentz Force Force on Current Carrying Wires Applications
More informationMagnetic Quantities. Magnetic fields are described by drawing flux lines that represent the magnetic field.
Chapter 7 Magnetic fields are described by drawing flux lines that represent the magnetic field. Where lines are close together, the flux density is higher. Where lines are further apart, the flux density
More informationTypes of Magnetism and Magnetic Domains
Types of Magnetism and Magnetic Domains Magnets or objects with a Magnetic Moment A magnet is an object or material that attracts certain metals, such as iron, nickel and cobalt. It can also attract or
More informationChapter 7. Chapter 7. Electric Circuits Fundamentals - Floyd. Copyright 2007 Prentice-Hall
Chapter 7 Magnetic Quantities Magnetic fields are described by drawing flux lines that represent the magnetic field. Where lines are close together, the flux density is higher. Where lines are further
More informationLecture 24. April 5 th, Magnetic Circuits & Inductance
Lecture 24 April 5 th, 2005 Magnetic Circuits & Inductance Reading: Boylestad s Circuit Analysis, 3 rd Canadian Edition Chapter 11.1-11.5, Pages 331-338 Chapter 12.1-12.4, Pages 341-349 Chapter 12.7-12.9,
More informationElements of Physics II. Agenda for Today. Induced EMF. Force on moving charges Induced Current Magnetic Flux Area Vector. Physics 201: Lecture 1, Pg 1
Induced EMF Physics 132: Lecture e 21 Elements of Physics II Agenda for Today Force on moving charges Induced Current Magnetic Flux Area Vector Physics 201: Lecture 1, Pg 1 Atomic Magnets A plausible explanation
More informationChapter 1 Updated: 1/22/12
ES 430 Electromagnetic Chapter 1 Updated: 1/22/12 General Notes A2 SI Units SI Prefixes Vectors Appendix A, pp. 473 Applications of EM Evolution of Electromagnetic Electromagnetic: Static or Dynamic (time
More informationPHYSICS. Chapter 29 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT
PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 29 Lecture RANDALL D. KNIGHT Chapter 29 The Magnetic Field IN THIS CHAPTER, you will learn about magnetism and the magnetic field.
More informationLECTURE 22 MAGNETIC TORQUE & MAGNETIC FIELDS. Instructor: Kazumi Tolich
LECTURE 22 MAGNETIC TORQUE & MAGNETIC FIELDS Instructor: Kazumi Tolich Lecture 22 2! Reading chapter 22.5 to 22.7! Magnetic torque on current loops! Magnetic field due to current! Ampere s law! Current
More informationCHETTINAD COLLEGE OF ENGINEERING & TECHNOLOGY NH-67, TRICHY MAIN ROAD, PULIYUR, C.F , KARUR DT.
CHETTINAD COLLEGE OF ENGINEERING & TECHNOLOGY NH-67, TRICHY MAIN ROAD, PULIYUR, C.F. 639 114, KARUR DT. DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING COURSE MATERIAL Subject Name: Electromagnetic
More informationB' = 0 ni' B B'= 2 Q. No. 18 A long solenoid is formed by winding 20 turns/cm. The current necessary to produce a magnetic field of 20 milli tesla inside the solenoid will be approximately 1.0 A 2.0 A
More informationLecture Notes ELEC A6
Lecture Notes ELEC A6 Dr. Ramadan El-Shatshat Magnetic circuit 9/27/2006 Elec-A6 - Electromagnetic Energy Conversion 1 Magnetic Field Concepts Magnetic Fields: Magnetic fields are the fundamental mechanism
More informationElectromagnetism. Topics Covered in Chapter 14:
Chapter 14 Electromagnetism Topics Covered in Chapter 14: 14-1: Ampere-turns of Magnetomotive Force (mmf) 14-2: Field Intensity (H) 14-3: B-H Magnetization Curve 14-4: Magnetic Hysteresis 14-5: Magnetic
More informationElectromagnetic Induction & Inductors
Electromagnetic Induction & Inductors 1 Revision of Electromagnetic Induction and Inductors (Much of this material has come from Electrical & Electronic Principles & Technology by John Bird) Magnetic Field
More informationLecture PowerPoints. Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli
Lecture PowerPoints Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for
More informationChapter 30. Induction and Inductance
Chapter 30 Induction and Inductance 30.2: First Experiment: 1. A current appears only if there is relative motion between the loop and the magnet (one must move relative to the other); the current disappears
More informationLecture PowerPoints. Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli
Lecture PowerPoints Chapter 20 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for
More informationChapter 28 Magnetic Fields Sources
Chapter 28 Magnetic Fields Sources All known magnetic sources are due to magnetic dipoles and inherently macroscopic current sources or microscopic spins and magnetic moments Goals for Chapter 28 Study
More informationMagnetostatics. P.Ravindran, PHY041: Electricity & Magnetism 22 January 2013: Magntostatics
Magnetostatics Magnetic Fields We saw last lecture that some substances, particularly iron, possess a property we call magnetism that exerts forces on other magnetic materials We also saw that t single
More informationLecture Outlines Chapter 22. Physics, 3 rd Edition James S. Walker
Lecture Outlines Chapter 22 Physics, 3 rd Edition James S. Walker 2007 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in
More informationChapter 28 Sources of Magnetic Field
Chapter 28 Sources of Magnetic Field In this chapter we investigate the sources of magnetic of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents). Ampere s Law
More informationSliding Conducting Bar
Motional emf, final For equilibrium, qe = qvb or E = vb A potential difference is maintained between the ends of the conductor as long as the conductor continues to move through the uniform magnetic field
More informationChapter 22 Magnetism
Chapter 22 Magnetism 1 Overview of Chapter 22 The Magnetic Field The Magnetic Force on Moving Charges The Motion of Charged Particles in a Magnetic Field The Magnetic Force Exerted on a Current-Carrying
More informationChapter 30. Induction and Inductance
Chapter 30 Induction and Inductance 30.2: First Experiment: 1. A current appears only if there is relative motion between the loop and the magnet (one must move relative to the other); the current disappears
More informationElectricity & Optics
Physics 24100 Electricity & Optics Lecture 15 Chapter 27 sec. 3-5 Fall 2016 Semester Professor Koltick Magnetic Fields B = μ 0 4π I dl r r 2 = μ 0 4π I dl r r 3 B = μ 0 2I 4π R B = μ 0 2 IR 2 R 2 + z 2
More informationChapter 21 Magnetic Induction Lecture 12
Chapter 21 Magnetic Induction Lecture 12 21.1 Why is it called Electromagnetism? 21.2 Magnetic Flux and Faraday s Law 21.3 Lenz s Law and Work-Energy Principles 21.4 Inductance 21.5 RL Circuits 21.6 Energy
More informationGravity Electromagnetism Weak Strong
19. Magnetism 19.1. Magnets 19.1.1. Considering the typical bar magnet we can investigate the notion of poles and how they apply to magnets. 19.1.1.1. Every magnet has two distinct poles. 19.1.1.1.1. N
More informationKey Contents. Magnetic fields and the Lorentz force. Magnetic force on current. Ampere s law. The Hall effect
Magnetic Fields Key Contents Magnetic fields and the Lorentz force The Hall effect Magnetic force on current The magnetic dipole moment Biot-Savart law Ampere s law The magnetic dipole field What is a
More informationChapter 27 Sources of Magnetic Field
Chapter 27 Sources of Magnetic Field In this chapter we investigate the sources of magnetic of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents). Ampere s Law
More informationChapter 28 Sources of Magnetic Field
Chapter 28 Sources of Magnetic Field In this chapter we investigate the sources of magnetic field, in particular, the magnetic field produced by moving charges (i.e., currents), Ampere s Law is introduced
More informationPhysics 1402: Lecture 18 Today s Agenda
Physics 1402: Lecture 18 Today s Agenda Announcements: Midterm 1 distributed available Homework 05 due Friday Magnetism Calculation of Magnetic Field Two ways to calculate the Magnetic Field: iot-savart
More informationSources of Magnetic Field
Chapter 28 Sources of Magnetic Field PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Learning Goals for Chapter 28 Looking forward
More informationInductors Maxwell s equations
Lecture 19 Chapter 34 Physics II Inductors Maxwell s equations Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Inductors Inductors (solenoids) store potential energy in a form
More informationMODULE 6 ELECTROMAGNETISM MAGNETIC FIELDS MAGNETIC FLUX VISUAL PHYSICS ONLINE
VISUAL PHYSICS ONLINE MODULE 6 ELECTROMAGNETISM MAGNETIC FIELDS MAGNETIC FLUX Magnetic field (-field ): a region of influence where magnetic materials and electric currents are subjected to a magnetic
More informationPhysics 1402: Lecture 17 Today s Agenda
Physics 1402: Lecture 17 Today s Agenda Announcements: Midterm 1 distributed today Homework 05 due Friday Magnetism Trajectory in Constant B Field Suppose charge q enters B field with velocity v as shown
More informationPHY 131 Review Session Fall 2015 PART 1:
PHY 131 Review Session Fall 2015 PART 1: 1. Consider the electric field from a point charge. As you move farther away from the point charge, the electric field decreases at a rate of 1/r 2 with r being
More informationMAGNETIC PARTICLE INSPECTION (MPI)
MAGNETIC PARTICLE INSPECTION (MPI) Magnetic particle inspection (MPI) is a method that can be used to detect surface and near surface defects or flaws in ferromagnetic materials such as steel and iron.
More information11/21/2011. The Magnetic Field. Chapter 24 Magnetic Fields and Forces. Mapping Out the Magnetic Field Using Iron Filings
Chapter 24 Magnetic Fields and Forces Topics: Magnets and the magnetic field Electric currents create magnetic fields Magnetic fields of wires, loops, and solenoids Magnetic forces on charges and currents
More informationLinear and Nonlinear Magnetic Media (Griffiths Chapter 6: Sections 3-4) Auxiliary Field H We write the total current density flowing through matter as
Dr. Alain Brizard Electromagnetic Theory I (PY 02) Linear and Nonlinear Magnetic Media (Griffiths Chapter 6: Sections -4) Auxiliary Field H We write the total current density flowing through matter as
More informationIII.Sources of Magnetic Fields - Ampere s Law - solenoids
Magnetism I. Magnetic Field - units, poles - effect on charge II. Magnetic Force on Current - parallel currents, motors III.Sources of Magnetic Fields - Ampere s Law - solenoids IV.Magnetic Induction -
More informationMAGNETIC PROBLEMS. (d) Sketch B as a function of d clearly showing the value for maximum value of B.
PHYS2012/2912 MAGNETC PROBLEMS M014 You can investigate the behaviour of a toroidal (dough nut shape) electromagnet by changing the core material (magnetic susceptibility m ) and the length d of the air
More information11/13/2018. The Hall Effect. The Hall Effect. The Hall Effect. Consider a magnetic field perpendicular to a flat, currentcarrying
The Hall Effect Consider a magnetic field perpendicular to a flat, currentcarrying conductor. As the charge carriers move at the drift speed v d, they will experience a magnetic force F B = ev d B perpendicular
More informationConsider a magnetic field perpendicular to a flat, currentcarrying
The Hall Effect Consider a magnetic field perpendicular to a flat, currentcarrying conductor. As the charge carriers move at the drift speed v d, they will experience a magnetic force F B = ev d B perpendicular
More informationChapter 29. Magnetic Fields due to Currentss
Chapter 29 Magnetic Fields due to Currentss Refresher: The Magnetic Field Permanent bar magnets have opposite poles on each end, called north and south. Like poles repel; opposites attract. If a magnet
More informationMAGNETIC FIELDS & UNIFORM PLANE WAVES
MAGNETIC FIELDS & UNIFORM PLANE WAVES Name Section Multiple Choice 1. (8 Pts) 2. (8 Pts) 3. (8 Pts) 4. (8 Pts) 5. (8 Pts) Notes: 1. In the multiple choice questions, each question may have more than one
More informationMODULE 4.2 MAGNETISM ELECTRIC CURRENTS AND MAGNETISIM VISUAL PHYSICS ONLINE
VISUAL PHYSICS ONLINE MODULE 4.2 MAGNETISM ELECTRIC CURRENTS AND MAGNETISIM When electric charges are in motion they exert forces on each other that can t be explained by Coulomb s law. If two parallel
More informationElectromagnetism - Lecture 10. Magnetic Materials
Electromagnetism - Lecture 10 Magnetic Materials Magnetization Vector M Magnetic Field Vectors B and H Magnetic Susceptibility & Relative Permeability Diamagnetism Paramagnetism Effects of Magnetic Materials
More informationMagnetic Forces and Fields (Chapters 32)
Magnetic Forces and Fields (Chapters 32) Magnetism Magnetic Materials and Sources Magnetic Field, B Magnetic Force Force on Moving Electric Charges Lorentz Force Force on Current Carrying Wires Applications
More informationChapter 27, 28 & 29: Magnetism & Electromagnetic Induction
Chapter 27, 28 & 29: Magnetism & Electromagnetic Induction The Magnetic Field The Magnetic Force on Moving Charges The Motion of Charged Particles in a Magnetic Field The Magnetic Force Exerted on a Current-Carrying
More informationModule 3: Electromagnetism
Module 3: Electromagnetism Lecture - Magnetic Field Objectives In this lecture you will learn the following Electric current is the source of magnetic field. When a charged particle is placed in an electromagnetic
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A jeweler needs to electroplate gold (atomic mass 196.97 u) onto a bracelet. He knows
More informationGeophysics 210 D1: Basics of Geomagnetism. D1.1 Introduction
Geophysics 210 D1: Basics of Geomagnetism D1.1 Introduction Lodestone was known to the Greeks (800 BC) and Chinese (300 BC) First compass (200 BC) made by Chinese, but not clear why it worked Europeans
More informationGeophysics 223 January Geophysics 223 C1: Basics of Geomagnetism. C1.1 Introduction
Geophysics 223 C1: Basics of Geomagnetism C1.1 Introduction Lodestone was known to the Greeks (800 BC) and Chinese (300 BC) First compass (200 BC) made by Chinese, but not clear why it worked Europeans
More informationFaraday s Law of Induction I
Faraday s Law of Induction I Physics 2415 Lecture 19 Michael Fowler, UVa Today s Topics Magnetic Permeability Faraday s Law of Induction Lenz s Law Paramagnets and Diamagnets Electromagnets Electromagnets
More informationCoaxial cable. Coaxial cable. Magnetic field inside a solenoid
Divergence and circulation Surface S Ampere s Law A vector field is generally characterized by 1) how field lines possibly diverge away from or converge upon (point) sources plus 2) how field lines circulate,
More information/20 /20 /20 /60. Dr. Galeazzi PHY207 Test #3 November 20, I.D. number:
Signature: Name: I.D. number: You must do ALL the problems Each problem is worth 0 points for a total of 60 points. TO GET CREDIT IN PROBLEMS AND 3 YOU MUST SHOW GOOD WORK. CHECK DISCUSSION SECTION ATTENDED:
More information( (Chapter 5)(Magnetism and Matter)
Additional Exercises Question 5.16: Answer the following questions: (a) Why does a paramagnetic sample display greater magnetisation (for the same magnetising field) when cooled? (b) Why is diamagnetism,
More informationCurrent Loop as a Magnetic Dipole & Dipole Moment:
MAGNETISM 1. Bar Magnet and its properties 2. Current Loop as a Magnetic Dipole and Dipole Moment 3. Current Solenoid equivalent to Bar Magnet 4. Bar Magnet and it Dipole Moment 5. Coulomb s Law in Magnetism
More informationCourse no. 4. The Theory of Electromagnetic Field
Cose no. 4 The Theory of Electromagnetic Field Technical University of Cluj-Napoca http://www.et.utcluj.ro/cs_electromagnetics2006_ac.htm http://www.et.utcluj.ro/~lcret March 19-2009 Chapter 3 Magnetostatics
More informationMay 08, Magnetism.notebook. Unit 9 Magnetism. This end points to the North; call it "NORTH." This end points to the South; call it "SOUTH.
Unit 9 Magnetism This end points to the North; call it "NORTH." This end points to the South; call it "SOUTH." 1 The behavior of magnetic poles is similar to that of like and unlike electric charges. Law
More informationChapter 2 Basics of Electricity and Magnetism
Chapter 2 Basics of Electricity and Magnetism My direct path to the special theory of relativity was mainly determined by the conviction that the electromotive force induced in a conductor moving in a
More informationChapter 19. Magnetism
Chapter 19 Magnetism The figure shows the path of a negatively charged particle in a region of a uniform magnetic field. Answer the following questions about this situation (in each case, we revert back
More informationMagnetostatics: Part 1
Magnetostatics: Part 1 We present magnetostatics in comparison with electrostatics. Sources of the fields: Electric field E: Coulomb s law. Magnetic field B: Biot-Savart law. Charge Current (moving charge)
More informationAnnouncements. l LON-CAPA #7 due Wed March 12 and Mastering Physics Chapter 24 due Tuesday March 11 l Enjoy your spring break next week
Announcements l LON-CAPA #7 due Wed March 12 and Mastering Physics Chapter 24 due Tuesday March 11 l Enjoy your spring break next week hopefully someplace warm Connection with electric currents l The connection
More informationLet's look at the force on a current loop. In a uniform field it is zero: F = I I (dl B) =I I dl B =0 (4) since B is constant and comes outside the in
Midterm: Mean 4.4/30, sigma = 5, high score - 25/30 Topic 3: Magnetostatic Fields in Matter Reading Assignment: Jackson Chapter 5.7-5. The treatment of magnetostatic fields in matter is quite parallel
More informationChapter 5. Magnetism and Matter
Chapter 5 Magnetism and Matter TABLE 5.1 THE DIPOLE ANALO Diamagnetic materials, when placed in a magnetic field, are magnetized in the direction opposite to the magnetic field; whereas paramagnetic and
More informationPhysics 202, Lecture 14
Physics 202, Lecture 14 Today s Topics Sources of the Magnetic Field (Ch 30) Review: The Biot-Savart Law The Ampere s Law Applications And Exercises of ampere s Law Straight line, Loop, Solenoid, Toroid
More informationElectromagnetic Induction
Chapter 29 Electromagnetic Induction PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Learning Goals for Chapter 29 Looking forward
More informationINDIAN SCHOOL MUSCAT SENIOR SECTION DEPARTMENT OF PHYSICS CLASS XII CHAPTER 4 and 5 Magnetic Effects of Electric current and Magnetism WORKSHEET 4
INDIAN SCHOOL MUSCAT SENIOR SECTION DEPARTMENT OF PHYSICS CLASS XII CHAPTER 4 and 5 Magnetic Effects of Electric current and Magnetism WORKSHEET 4 SECTION A CONCEPTUAL AND APPLICATION TYPE QUESTIONS 1
More information