Sinfonia. Professor Hong Guo 1
|
|
|
- Antonia Wells
- 5 years ago
- Views:
Transcription
1 Sinfonia Professor Hong Guo 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 Classical Electrodynamics Professor Hong Guo 10
11 Contents 1. Fundamental Laws 2. Derivation of Maxwell s Equations 3. Properties of Maxwell s Equations 4. Miscellaneous of Classical Electromagnetism 5. Special Relativity 6. Classical Electromagnetic Field Theory CREAM@IQE.EE.EECS.PKU 11
12 Fundamental Laws 12
13 Content Coulomb s law Biot-Sarvart s law Ampere s law Faraday s law Electric charge conservation law Lorentz force equation CREAM@IQE.EE.EECS.PKU 13
14 Charles Augustin Coulomb ( ), French physicist 14
15 Jean Baptiste Biot ( ), French Physicist; Félix Savart ( ), French Physicist 15
16 French Physicist 16
17 English Physicist 17
18 Electric charge conservation law and Lorentz force equation Dutch Physicist 18
19 19
20 Derivation of Maxwell s equations CREAM@IQE.EE.EECS.PKU 20
21 James Clerk Maxwell ( ), Scottish physicist 21
22 Some Photographs of Maxwell and his wife 22
23 Constitutional equations Electric field induction: Magnetic field induction: 23
24 24
25 Maxwell-Lorentz equations in vacuum 25
26 Properties of Maxwell s equations CREAM@IQE.EE.EECS.PKU 26
27 I. Conservations 27
28 Total Electric Charge Conservation 28
29 Total Energy Conservation 29
30 Total Momenta Conservation 30
31 Total Angular Momenta Conservation 31
32 II. Transverse and Longitudinal Components, and Gauge Invariance 32
33 Helmholtz Theorem Component decomposition Transverse component Longitudinal component 33
34 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (I) Component decomposition Transverse component Longitudinal component 34
35 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (II) Component decomposition Transverse component No Longitudinal component 35
36 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (III) Definition of Gauge transform : CREAM@IQE.EE.EECS.PKU 36
37 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (IV) Under the gauge transform, The electric and magnetic field does not change. The longitudinal component of the vector potential plays a role of gauge; so we know that is gauge free, or, the transverse component of the electric field has nothing to do with gauge. The magnetic field is a transverse field: In Coulomb gauge, the vector potential is transverse and its longitudinal component is zero: CREAM@IQE.EE.EECS.PKU 37
38 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (V) In Coulomb gauge: 38
39 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (VI) In Coulomb gauge: (More on energy) 39
40 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (VII) In Coulomb gauge: (More on energy) 40
41 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (VIII) In Coulomb gauge, the longitudinal and transverse components follow (Maxwell s equations in vacuum): CREAM@IQE.EE.EECS.PKU 41
42 Transverse and Longitudinal Components of EM Field in Coulomb Gauge (VIV) In Coulomb gauge, Maxwell s equations, together with electric charge conservation equation in medium: CREAM@IQE.EE.EECS.PKU 42
43 Miscellaneous of Classical Electromagnetism 43
44 cgs (Gauss) unit measuring magnetic flux density or magnetic induction (commonly known as the magnetic field B), and also magnetic intensity (also oersted). One gauss is defined as one maxwell per square centimeter. Johann Carl Friedrich Gauss ( ), German physicist and mathematician For many years prior to 1932 the term gauss was used to designate that unit of magnetic field intensity which is now known as the oersted This change in terminology was introduced to distinguish between magnetic induction and magnetic intensity as physical magnitudes. 44
45 Discovery of electromagnetism cgs (Gauss) unit of magnetic intensity, equal to the magnetic intensity one centimeter from a unit magnetic pole. Hans Christian Ørsted ( ), Danish physicist CREAM@IQE.EE.EECS.PKU 45
46 electric battery Alessandro Volta, ( ), Italian physicist Volt's Law 46
47 Georg Simon Ohm ( ), German physicist 47
48 Gustav Robert Kirchhoff, ( ), Russian physicist i1 + i4 = i2 + i3 Kirchhoff's current law Kirchhoff's first law, Kirchhoff's point rule, Kirchhoff's junction rule, and Kirchhoff's first rule. Kirchhoff's voltage law Kirchhoff's second law, Kirchhoff's loop rule, and Kirchhoff's second rule v1 + v2 + v3 + v4 = 0 CREAM@IQE.EE.EECS.PKU 48
49 Inductance Joseph Henry, ( ), American physicist 49
50 The SI unit of magnetic flux Wilhelm Eduard Weber, ( ), German physicist 50
51 SI unit measuring magnetic flux density or magnetic induction (commonly known as the magnetic field B), Nikola Tesla, ( ), Austrian (Crotia) American physicist 51
52 Modern Times 52
53 53
54 Special Relativistic Theory 54
55 Fundamentals of Special Relativistic Theory (I) 55
56 Fundamentals of Special Relativistic Theory (II) 56
57 Fundamentals of Special Relativistic Theory (III) 57
58 Fundamentals of Special Relativistic Theory (IV) 58
59 Electrodynamics in Covariant Form (I) 59
60 Electrodynamics in Covariant Form (II) 60
61 Electrodynamics in Covariant Form (III) 61
62 Electrodynamics in Covariant Form (IV) 62
63 Electrodynamics in Covariant Form (V) 63
64 Electrodynamics in Covariant Form (VI) 64
65 Maxwell s Equations in Covariant Form CREAM@IQE.EE.EECS.PKU 65
66 Classical Electromagnetic Field Theory 66
67 Variational Principle and Euler-Lagrange Equation in Classical Mechanics 67
68 Variational Principle and Hamiltonian Equation in Classical Mechanics 68
69 Classical Electromagnetic Field Theory 69
70 Classical Electromagnetic Field Theory 70
71 Classical Electromagnetic Field Theory 71
72 Classical Electromagnetic Field Theory 72
73 Classical Electromagnetic Field Theory 73
74 END 74
Technical English for Electrical Engineering. F.Bardak Manisa Celal Bayar University Fall 2015
Technical English for Electrical Engineering F.Bardak Manisa Celal Bayar University Fall 2015 English to Turkish Translation from Fundamental Electrical Engineering Textbooks From Principles and Application
Introduction to Electromagnetic Theory
Introduction to Electromagnetic Theory Lecture topics Laws of magnetism and electricity Meaning of Maxwell s equations Solution of Maxwell s equations Electromagnetic radiation: wave model James Clerk
Introduction to Electromagnetism
Introduction to Electromagnetism Electric Field Lines If a charge feels an electrostatic force (Coulombic Force), it is said to be in an electric field. We like to represent electric fields with lines.
Electromagnetic Theory PHYS 401/402
Electromagnetic Theory PHYS 401/402 Fall 2017 Lalith Perera, lpperera@olemiss.edu Office: Kennon 1 Office hours: M,Tu Th 3:00-4:00 PM Web page: http://www.phy.olemiss.edu/~perera/em 1 Electromagnetic Theory
Chapter 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
1.1 Units, definitions and fundamental equations. How should we deal with B and H which are usually used for magnetic fields?
Advance Organizer: Chapter 1: Introduction to single magnetic moments: Magnetic dipoles Spin and orbital angular momenta Spin-orbit coupling Magnetic susceptibility, Magnetic dipoles in a magnetic field:
Contents. Introduction
Contents Introduction x chapter 1: An Introduction to Electricity and Magnetism 1 Historical background 2 Early observations and applications 3 Emergence of the modern sciences of electricity and magnetism
Electricity. Greeks learned about charge by rubbing amber (fossilized tree resin) Greek word for amber = elektron. Picture from wikipedia
Electricity Greeks learned about charge by rubbing amber (fossilized tree resin) Greek word for amber = elektron Picture from wikipedia Atomic Structure - A Who s Who J. J. Thomson 1856-1940 Ernest Rutherford
Electromagnetic Field Theory (EMT) Lecture # 25
Electromagnetic Field Theory (EMT) Lecture # 25 1) Transformer and Motional EMFs 2) Displacement Current 3) Electromagnetic Wave Propagation Waves & Applications Time Varying Fields Until now, we have
CHAPTER 7 ELECTRODYNAMICS
CHAPTER 7 ELECTRODYNAMICS Outlines 1. Electromotive Force 2. Electromagnetic Induction 3. Maxwell s Equations Michael Faraday James C. Maxwell 2 Summary of Electrostatics and Magnetostatics ρ/ε This semester,
elettromagnetica Giovanni Romano 1 febbraio 2013 Accademia di Scienze Fisiche e Matematiche in Napoli Una teoria consistente dell induzione
Accademia di Scienze Fisiche e Matematiche in Napoli 1 febbraio 2013 ED=Electrodynamics and DG=Differential Geometry ED=Electrodynamics and DG=Differential Geometry ED is an important source of inspiration
INTRODUCTION ELECTRODYNAMICS BEFORE MAXWELL MAXWELL S DISPLACEMENT CURRENT. Introduction Z B S. E l = Electrodynamics before Maxwell
Chapter 14 MAXWELL S EQUATONS ntroduction Electrodynamics before Maxwell Maxwell s displacement current Maxwell s equations: General Maxwell s equations in vacuum The mathematics of waves Summary NTRODUCTON
Introduction: Recall what the Biot-Savart Law and, more generally, Ampere s Law say: Electric Currents Create Magnetic Fields
Electromagnetic Induction I really don t like the order in which your author presents the material in this chapter, so I m going put in a slightly different order. Introduction: Recall what the Biot-Savart
2 The science of electricity and magnetism
1 Introduction Electromagnetism is one of the fundamental interactions in nature. Its physical origin lies in a property possessed by elementary particles of matter electrons and protons called electric
EECE251 Circuit Analysis I Lecture Integrated Program Set 1: Basic Circuit Concepts and Elements
EECE5 Circuit Analysis I Lecture Integrated Program Set : Basic Circuit Concepts and Elements Shahriar Mirabbasi Department of Electrical and Computer Engineering University of British Columbia shahriar@ece.ubc.ca
ELECTRICITY AND MAGNETISM
ELECTRICITY AND MAGNETISM Chapter 1. Electric Fields 1.1 Introduction 1.2 Triboelectric Effect 1.3 Experiments with Pith Balls 1.4 Experiments with a Gold-leaf Electroscope 1.5 Coulomb s Law 1.6 Electric
Electromagnetic Fields. Lecture 2. Fundamental Laws
Electromagnetic Fields Lecture 2 Fundamental Laws Laws of what? Electric field... is a phenomena that surrounds electrically charged objects or that which is in the presence of a time-varying magnetic
Part IB Electromagnetism
Part IB Electromagnetism Theorems Based on lectures by D. Tong Notes taken by Dexter Chua Lent 2015 These notes are not endorsed by the lecturers, and I have modified them (often significantly) after lectures.
Maxwell s Equations & Hertz Waves
Maxwell s Equations & Hertz Waves XI. Maxwell & Electromagnetic Waves A. Maxwell s Equations Dr. Bill Pezzaglia B. Hertz Waves & Poynting C. Polarization Updated: 3Aug5 A. Maxwell s Equations 3. Hints
Maxwell s equations. based on S-54. electric field charge density. current density
Maxwell s equations based on S-54 Our next task is to find a quantum field theory description of spin-1 particles, e.g. photons. Classical electrodynamics is governed by Maxwell s equations: electric field
Chapter 1. Maxwell s Equations
Chapter 1 Maxwell s Equations 11 Review of familiar basics Throughout this course on electrodynamics, we shall use cgs units, in which the electric field E and the magnetic field B, the two aspects of
Classical Field Theory
April 13, 2010 Field Theory : Introduction A classical field theory is a physical theory that describes the study of how one or more physical fields interact with matter. The word classical is used in
1 Basic electromagnetism
1 Basic electromagnetism 1.1 Introduction Two thousand years ago, the Chinese invented the compass, a special metallic needle with one end always pointing to the North Pole. That was the first recorded
Module 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
Lightning is an electrostatic discharge that travels between two charged regions.
Electromagnetism From Wikipedia, the free encyclopedia Electromagnetism is a branch of physics which involves the study of the electromagnetic force, a type of physical interaction that occurs between
Optics and Optical Design. Chapter 5: Electromagnetic Optics. Lectures 9 & 10
Optics and Optical Design Chapter 5: Electromagnetic Optics Lectures 9 & 1 Cord Arnold / Anne L Huillier Electromagnetic waves in dielectric media EM optics compared to simpler theories Electromagnetic
Engineering Fundamentals and Problem Solving, 6e
Engineering Fundamentals and Problem Solving, 6e Chapter 17 Electrical Circuits Chapter Objectives Compute the equivalent resistance of resistors in series and in parallel Apply Ohm s law to a resistive
Maxwell Equations Dr. Anurag Srivastava
Maxwell Equations Dr. Anurag Srivastava Web address: http://tiiciiitm.com/profanurag Email: profanurag@gmail.com Visit me: Room-110, Block-E, IIITM Campus Syllabus Electrodynamics: Maxwell s equations:
Heinrich Hertz ( ) Discovery of Radio Waves 1887
Heinrich Hertz (1857-1894) Discovery of Radio Waves 1887 Static Electricity Thales of Miletus (624 526 BC) Two pieces of amber rubbed with wool or two pieces of glass rubbed with silk would repel each
Classical electromagnetism - Wikipedia, the free encyclopedia
Page 1 of 6 Classical electromagnetism From Wikipedia, the free encyclopedia (Redirected from Classical electrodynamics) Classical electromagnetism (or classical electrodynamics) is a branch of theoretical
Calculation of voltage and current in electric network (circuit)
UNIVERSITY OF LJUBLJANA Calculation of voltage and current in electric network (circuit) Power distribution and Industrial Systems Alba Romero Montero 13/04/2018 Professor: Grega Bizjak Content Background...2...3
Chapter Three: Propagation of light waves
Chapter Three Propagation of Light Waves CHAPTER OUTLINE 3.1 Maxwell s Equations 3.2 Physical Significance of Maxwell s Equations 3.3 Properties of Electromagnetic Waves 3.4 Constitutive Relations 3.5
Maxwell s equations and EM waves. From previous Lecture Time dependent fields and Faraday s Law
Maxwell s equations and EM waves This Lecture More on Motional EMF and Faraday s law Displacement currents Maxwell s equations EM Waves From previous Lecture Time dependent fields and Faraday s Law 1 Radar
Describe the forces and torques exerted on an electric dipole in a field.
Learning Outcomes - PHYS 2015 Electric charges and forces: Describe the electrical nature of matter; Explain how an object can be charged; Distinguish between electrical conductors and insulators and the
fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES
Content-ELECTRICITY AND MAGNETISM 1. Electrostatics (1-58) 1.1 Coulomb s Law and Superposition Principle 1.1.1 Electric field 1.2 Gauss s law 1.2.1 Field lines and Electric flux 1.2.2 Applications 1.3
Physics 4322 Spring Section Introduction to Classical Electrodynamics - Part 2
Physics 4322 Spring 2018 - Section 13301 Introduction to Classical Electrodynamics - Part 2 Text - Introduction to Electrodynamics; - David Griffiths Publisher - Pretice-Hall Supplementary Material - Feynman
r r 1 r r 1 2 = q 1 p = qd and it points from the negative charge to the positive charge.
MP204, Important Equations page 1 Below is a list of important equations that we meet in our study of Electromagnetism in the MP204 module. For your exam, you are expected to understand all of these, and
AP Physics C Electricity and Magnetism
AP Physics C Electricity and Magnetism Course overview This is a calculus based course in physics. The course is the equivalent of an introductory engineering course in Physics. The main objective of the
ε induced Review: Self-inductance 20.7 RL Circuits Review: Self-inductance B induced Announcements
Announcements WebAssign HW Set 7 due this Friday Problems cover material from Chapters 20 and 21 We re skipping Sections 21.1-21.7 (alternating current circuits) Review: Self-inductance induced ε induced
1. An isolated stationary point charge produces around it. a) An electric field only. b) A magnetic field only. c) Electric as well magnetic fields.
1. An isolated stationary point charge produces around it. a) An electric field only. b) A magnetic field only. c) Electric as well magnetic fields. 2. An isolated moving point charge produces around it.
Discipline Course-I Semester-II
Maxwell's equation: "Introduction of Displacement Current" Discipline Course-I Semester-II Paper No: Electricity and Magnetism Lesson: Maxwell's equation: "Introduction of Displacement Current" Lesson
Lecture 35. PHYC 161 Fall 2016
Lecture 35 PHYC 161 Fall 2016 Induced electric fields A long, thin solenoid is encircled by a circular conducting loop. Electric field in the loop is what must drive the current. When the solenoid current
PHYS 3313 Section 001. Lecture #3
PHYS 3313 Section 001 Classical Physics Lecture #3 Concept of Waves and Particles Conservation Laws and Fundamental Forces Atomic Theory of Matter Unsolved Questions of 1895 and the New Horizon 1 Reminder:
PowerPoint lecture notes for Thornton/Rex s Modern Physics, 4e
PowerPoint lecture notes for Thornton/Rex s Modern Physics, 4e Prepared by: Anthony Pitucco, Ph.D. Pima Community College Dept of Physics, Chair Tucson, Arizona CHAPTER 1 The Birth of Modern Physics 1.1
History of Electromagnetics
History of Electromagnetics Eung Je Woo Department of Biomedical Engineering Impedance Imaging Research Center (IIRC) Kyung Hee University Korea ejwoo@khu.ac.kr 1 References Wikipedia, https://en.wikipedia.org/wiki/wiki
The Nature of Light. Prof. Stephen Sekula 4/12/2010 Supplementary Material for PHY1308 (General Physics Electricity and Magnetism)
The Nature of Light Prof. Stephen Sekula 4/12/2010 Supplementary Material for PHY1308 (General Physics Electricity and Magnetism) WHAT IS LIGHT? Galileo Galilei 1564-1642 Considered the first modern scientist,
Interpretation of Modified Electromagnetic Theory and Maxwell's Equations on the Basis of Charge Variation
International Journal of Electrical and Computer Engineering (IJECE) Vol. 4, No. 2, April 2014, pp. 231~236 ISSN: 2088-8708 231 Interpretation of Modified Electromagnetic Theory and Maxwell's Equations
PES 1120 Spring 2014, Spendier Lecture 38/Page 1
PES 1120 Spring 2014, Spendier Lecture 38/Page 1 Today: Start last chapter 32 - Maxwell s Equations James Clerk Maxwell (1831-1879) Scottish mathematical physicist. He united all observations, experiments
COLLEGE PHYSICS Chapter 23 ELECTROMAGNETIC INDUCTION, AC CIRCUITS, AND ELECTRICAL TECHNOLOGIES
COLLEGE PHYSICS Chapter 23 ELECTROMAGNETIC INDUCTION, AC CIRCUITS, AND ELECTRICAL TECHNOLOGIES Induced emf: Faraday s Law and Lenz s Law We observe that, when a magnet is moved near a conducting loop,
COPYRIGHTED MATERIAL. Basic Field Vectors. 1.1 The Electric and Magnetic Field Vectors
1 Basic Field Vectors 1.1 The Electric and Magnetic Field Vectors A set of four vectors is needed to describe electromagnetic field phenomena. These are: the electric field vector, E (units: V/m, volt
UNIT I ELECTROSTATIC FIELDS
UNIT I ELECTROSTATIC FIELDS 1) Define electric potential and potential difference. 2) Name few applications of gauss law in electrostatics. 3) State point form of Ohm s Law. 4) State Divergence Theorem.
Thornton & Rex, 4th ed. Fall 2018 Prof. Sergio B. Mendes 1
Modern Physics for Scientists and Engineers Thornton & Rex, 4th ed. Fall 2018 Prof. Sergio B. Mendes 1 CHAPTER 1 The Birth of Modern Physics Fall 2018 Prof. Sergio B. Mendes 2 Topics 1) Classical Physics
Electromagnetic field theory
1 Electromagnetic field theory 1.1 Introduction What is a field? Is it a scalar field or a vector field? What is the nature of a field? Is it a continuous or a rotational field? How is the magnetic field
Currents (1) Line charge λ (C/m) with velocity v : in time t, This constitutes a current I = λv (vector). Magnetic force on a segment of length dl is
Magnetostatics 1. Currents 2. Relativistic origin of magnetic field 3. Biot-Savart law 4. Magnetic force between currents 5. Applications of Biot-Savart law 6. Ampere s law in differential form 7. Magnetic
Electromagnetic Field Theory Chapter 9: Time-varying EM Fields
Electromagnetic Field Theory Chapter 9: Time-varying EM Fields Faraday s law of induction We have learned that a constant current induces magnetic field and a constant charge (or a voltage) makes an electric
Chapter 19. Magnetism. 1. Magnets. 2. Earth s Magnetic Field. 3. Magnetic Force. 4. Magnetic Torque. 5. Motion of Charged Particles. 6.
Chapter 19 Magnetism 1. Magnets 2. Earth s Magnetic Field 3. Magnetic Force 4. Magnetic Torque 5. Motion of Charged Particles 6. Amperes Law 7. Parallel Conductors 8. Loops and Solenoids 9. Magnetic Domains
INTRODUCTION TO ELECTRODYNAMICS
INTRODUCTION TO ELECTRODYNAMICS Second Edition DAVID J. GRIFFITHS Department of Physics Reed College PRENTICE HALL, Englewood Cliffs, New Jersey 07632 CONTENTS Preface xi Advertisement 1 1 Vector Analysis
Electricity. Scheme of Work
Electricity Scheme of Work WHAT IS ELECTRICITY? Electricity is a force of nature and it has been around since the creation of the universe. Electricity, an effect of the electromagnetic force, is the flow
Physics 610: Electricity & Magnetism I
Physics 610: Electricity & Magnetism I [i.e. relativistic EM, electro/magneto-(quasi)statics] [lin12.triumph.ca] [J-lab accelerator] [ixnovi.people.wm.edu] [Thywissen group, U. of Toronto] [nanotechetc.com]
we can said that matter can be regarded as composed of three kinds of elementary particles; proton, neutron (no charge), and electron.
Physics II we can said that matter can be regarded as composed of three kinds of elementary particles; proton, neutron (no charge), and electron. Particle Symbol Charge (e) Mass (kg) Proton P +1 1.67
Project 4: Introduction to Circuits The attached Project was prepared by Professor Yih-Fang Huang from the department of Electrical Engineering.
Project 4: Introduction to Circuits The attached Project was prepared by Professor Yih-Fang Huang from the department of Electrical Engineering. The examples given are example of basic problems that you
Transmission Lines and E. M. Waves Prof. R. K. Shevgaonkar Department of Electrical Engineering Indian Institute of Technology, Bombay
Transmission Lines and E. M. Waves Prof. R. K. Shevgaonkar Department of Electrical Engineering Indian Institute of Technology, Bombay Lecture 18 Basic Laws of Electromagnetics We saw in the earlier lecture
A Brief History of Quantum Mechanics
A Brief History of Quantum Mechanics R. J. Renka Department of Computer Science & Engineering University of North Texas 01/31/2018 Wave and particle theories of light In 1630 René Descartes described light
Physics 2020 Exam 2 Constants and Formulae
Physics 2020 Exam 2 Constants and Formulae Useful Constants k e = 8.99 10 9 N m 2 /C 2 c = 3.00 10 8 m/s ɛ = 8.85 10 12 C 2 /(N m 2 ) µ = 4π 10 7 T m/a e = 1.602 10 19 C h = 6.626 10 34 J s m p = 1.67
1) Electronic Circuits & Laboratory
ENSEA COURSES TAUGHT IN ENGLISH SPRING Semester 1) Electronic Circuits & Laboratory Lecture : 45 hours Laboratory : 45 hours US Credits : 6 Analysis of integrated amplifiers with bipolar junction transistors
What is a Circuit? We know that electricity is the flow of electrons. If the electrons cannot move there is now electricity.
Electrical Circuits This guide covers the following: What is a circuit? Circuit Symbols Series and Parallel Circuits Electrical Charge Voltage Current Current and Voltage in Series and Parallel circuits
Lagrangian. µ = 0 0 E x E y E z 1 E x 0 B z B y 2 E y B z 0 B x 3 E z B y B x 0. field tensor. ν =
Lagrangian L = 1 4 F µνf µν j µ A µ where F µν = µ A ν ν A µ = F νµ. F µν = ν = 0 1 2 3 µ = 0 0 E x E y E z 1 E x 0 B z B y 2 E y B z 0 B x 3 E z B y B x 0 field tensor. Note that F µν = g µρ F ρσ g σν
Induction 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
Unit 12: Fields that vary with time. 1 Current without wires some examples of induction. Figure 1 A wireless lamp. Audio 1 A wireless lamp
Unit 12: Fields that vary with time 1 Current without wires some examples of induction Figure 1 A wireless lamp. Audio 1 A wireless lamp Download Show transcript Figure 2 Inside view of a wireless lamp.
Electromagnetism. Daniel R. Stump. Michigan State University. Electromagnetism is one of the fundamental interactions of nature.
Electromagnetism Daniel R. Stump Michigan State University Electromagnetism is the science of electric and magnetic fields and of the interactions of these fields with electric charges and currents. I
Maxwell s equations. electric field charge density. current density
Maxwell s equations based on S-54 Our next task is to find a quantum field theory description of spin-1 particles, e.g. photons. Classical electrodynamics is governed by Maxwell s equations: electric field
Transformers. slide 1
Transformers an alternating emf V1 through the primary coil causes an oscillating magnetic flux through the secondary coil and, hence, an induced emf V2. The induced emf of the secondary coil is delivered
XII PHYSICS ELECTROMAGNETISM] CHAPTER NO. 14 [MAGNETISM AND LECTURER PHYSICS, AKHSS, K. https://promotephysics.wordpress.
![XII PHYSICS ELECTROMAGNETISM] CHAPTER NO. 14 [MAGNETISM AND LECTURER PHYSICS, AKHSS, K. https://promotephysics.wordpress.](/thumbs/77/75749869.jpg "XII PHYSICS ELECTROMAGNETISM] CHAPTER NO. 14 [MAGNETISM AND LECTURER PHYSICS, AKHSS, K. https://promotephysics.wordpress.")
XII PHYSICS LECTURER PHYSICS, AKHSS, K affan_414@live.com https://promotephysics.wordpress.com [MAGNETISM AND ELECTROMAGNETISM] CHAPTER NO. 14 OERSTED s EXPERIMENT During a lecture demonstration, on April
Sliding 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
Lecture Notes on ELECTROMAGNETIC FIELDS AND WAVES
Lecture Notes on ELECTROMAGNETIC FIELDS AND WAVES (227-0052-10L) Prof. Dr. Lukas Novotny ETH Zürich, Photonics Laboratory January 12, 2018 Introduction The properties of electromagnetic fields and waves
Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance
Lesson 7 Electromagnetic Induction Faraday s Law Lenz s Law Self-Inductance RL Circuits Energy in a Magnetic Field Mutual Inductance Oscillations in an LC Circuit The RLC Circuit Alternating Current Electromagnetic
Definition of Temperature
Definition of Temperature Ron Reifenberger Birck Nanotechnology Center Purdue University January 11, 2012 1 Lecture 1 A Brief History Prior to 18 th Century, society supports advances in medicine (health)
Magnetism. and its applications
Magnetism and its applications Laws of Magnetism 1) Like magnetic poles repel, and 2) unlike poles attract. Magnetic Direction and Strength Law 3 - Magnetic force, either attractive or repelling varies
Exercises in field theory
Exercises in field theory Wolfgang Kastaun April 30, 2008 Faraday s law for a moving circuit Faradays law: S E d l = k d B d a dt S If St) is moving with constant velocity v, it can be written as St) E
Definition of Temperature
Definition of Temperature Ron Reifenberger Birck Nanotechnology Center Purdue University January 9, 2013 1 Lecture 1 A Brief History Prior to 18 th Century, society supports advances in medicine (health)
University Physics 227N/232N Ch 27: Inductors, towards Ch 28: AC Circuits Quiz and Homework Due This Week Exam Next Wednesday!
Vector pointing OUT of page University Physics 227N/232N Ch 27: Inductors, towards Ch 28: AC Circuits Quiz and Homework Due This Week Exam Next Wednesday! (April 9) Dr. Todd Satogata (ODU/Jefferson Lab)
Electromagnetic Induction
Slide 1 / 76 Slide 2 / 76 Electromagnetic Induction www.njctl.org How to Use this File Slide 3 / 76 Each topic is composed of brief direct instruction There are formative assessment questions after every
Wilson Area School District Planned Course Guide
Wilson Area School District Planned Course Guide Title of planned course: AP Physics C Independent Study Subject Area: Science Grade Level: 12 Course Description: AP Physics is our advanced placement course
4/8/ A1.11 Electricity and Magnetism
4/8/05 30 A1.11 Electricity and Magnetism As we shall see in Chapter A, most of the mass of an atom is contained in its central nucleus. The nucleus of a hydrogen atom consists of a positively charged
. LORENTZ MAGNETIC FORCE LAW NOT PRECISELY VERIFIED
. LORENTZ MAGNETIC FORCE LAW NOT PRECISELY VERIFIED CHAN RASJID KAH CHEW 2 March 2019 ABSTRACT. The Lorentz magnetic force law has not been precisely verified. The experimental basis of it is in the early
MAXWELL, A TREATISE ON ELECTRICITY AND MAGNETISM 1
1 Primary Source 12.6 MAXWELL, A TREATISE ON ELECTRICITY AND MAGNETISM 1 James Clerk Maxwell (1831 79) was a Scottish physicist perhaps the greatest physi- cist in history after Newton and Einstein who
Delaware Science Olympiad Shock Value & Circuit Lab Workshop
Delaware Science Olympiad Shock Value & Circuit Lab Workshop Delaware Bay Section 1 Instructors and contacts Gordon Lipscy - acrodyn@aol.com Wayne Lu - wayne_l@hotmail.com 2 Science Olympiad Competitions
Time-Varying Systems; Maxwell s Equations
Time-Varying Systems; Maxwell s Equations 1. Faraday s law in differential form 2. Scalar and vector potentials; the Lorenz condition 3. Ampere s law with displacement current 4. Maxwell s equations 5.
AP Physics C. Magnetism - Term 4
AP Physics C Magnetism - Term 4 Interest Packet Term Introduction: AP Physics has been specifically designed to build on physics knowledge previously acquired for a more in depth understanding of the world
Here are some internet links to instructional and necessary background materials:
The general areas covered by the University Physics course are subdivided into major categories. For each category, answer the conceptual questions in the form of a short paragraph. Although fewer topics
Introduction. Chapter Presentation of Macroscopic Electrodynamics. 1.1 What is Electrodynamics?
Chapter 1 Introduction 1.1 What is Electrodynamics? Electrodynamics as a theory deals with electric charges which move in space and with electromagnetic fields that are produced by the charges and again
Topic 6.3 Magnetic Force and Field. 2 hours
Topic 6.3 Magnetic Force and Field 2 hours 1 Magnetic Fields A magnetic field is said to exist at a point if a compass needle placed there experiences a force. The appearance of a magnetic field can be
Complex Analysis: A Round-Up
Complex Analysis: A Round-Up October 1, 2009 Sergey Lototsky, USC, Dept. of Math. *** 1 Prelude: Arnold s Principle Valdimir Igorevich Arnold (b. 1937): Russian The Arnold Principle. If a notion bears
A little history. Electricity and Magnetism are related!
Intro to Magnetism A little history Until the early 19 th century, scientists thought electricity and magnetism were unrelated In 1820, Danish science professor Hans Christian Oersted was demonstrating
CHETTINAD 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
Announcements Self-inductance. Self-inductance. RL Circuit. RL Circuit, cont 3/11/2011. Chapter (not.9-.10) τ = R. Electromagnetic Waves
Chapter 21.8-13(not.9-.10) Electromagnetic Announcements Clicker quizzes NO LONGER GRADED! WebAssign HW Set 8 due this Friday Problems cover material from Chapters 21-22 Office hours: My office hours today
Outline Chapter 6 Electricity and Magnetism Positive and Negative Charge Positive and Negative Charge
Outline Chapter 6 Electricity and Magnetism 6-1. Positive and Negative Charge 6-2. What is Charge? 6-3. Coulomb s Law 6-4. Force on an Uncharged Object 6-5. Matter in Bulk 6-6. Conductors and Insulators
Michael Faraday. Chapter 31. EMF Produced by a Changing Magnetic Field, 1. Induction. Faraday s Law
Michael Faraday Chapter 31 Faraday s Law Great experimental physicist and chemist 1791 1867 Contributions to early electricity include: Invention of motor, generator, and transformer Electromagnetic induction
review Problem 23.83
review Problem 23.83 A metal sphere with radius R 1 has a charge Q 1. (a) What are the electric field and electric potential at the surface of the sphere? Take the potential to be zero at an infinite distance
UNIT-I Static Electric fields
UNIT-I Static Electric fields In this chapter we will discuss on the followings: Coulomb's Law Electric Field & Electric Flux Density Gauss's Law with Application Electrostatic Potential, Equipotential