HIGH VOLTAGE TECHNIQUES REVİEW: Electrostatics & Magnetostatics
|
|
- Jeremy Clark
- 5 years ago
- Views:
Transcription
1 HIGH VOLTAGE TECHNIQUES REVİEW: Electrostatics & Magnetostatics
2 Zap You walk across the rug, reach for the doorknob and...zap!!! In the winter, when you change your pullover you hear and/or see sparks... you come inside from the cold, pull off your hat and...boing!!! Static hair - that static electricity makes your hair stand straight out from your head. What is going on there?
3 Static electricity......is the imbalance of positive and negative charges. As you walk across a carpet, electrons move from the rug to you. Now you have extra electrons and a negative static charge. Touch a door knob and ZAP! The door knob is a conductor. The electrons jump from you to the knob, and you feel the static shock. We usually only notice static electricity in the winter when the air is very dry. During the summer, the air is more humid. The water in the air helps electrons move off you more quickly, so you can not build up as big a static charge.
4 Static Question: Static? What does that mean? Answer: constant with time Question: How constant is it? Does it really not move at all? Answer: there is movement of charges. In fact, when you get zapped, charges are actually moving between your fingers and the doorknob. However, the movement is only brief compared to the current in a closed circuit.
5 Static regime In the static regime, electromagnetic quantities do not vary as a function of time. We have two main cases: ELECTROSTATICS MAGNETOSTATICS
6 Definitions and units Symbol Meaning (first term is the most common) SI Unit of measure Differential operators. the divergence operator per meter (factor contributed by applying the curl operator either operator) per second (factor contributed by applying the partial derivative with respect to time operator) t E B D H ε 0 μ 0 Fields electric field, also called the electric field intensity magnetic field, also called: the magnetic induction the magnetic field density the magnetic flux density electric displacement field, also called: the electric induction the electric flux density magnetizing field, also called: auxiliary magnetic field magnetic field intensity magnetic field permittivity of free space, also called the dielectric constant, a universal constant permeability of free space, also called the magnetic constant, a universal constant volt per meter or, equivalently, [V/m] newton per coulomb [N/C] tesla, or equivalently, [T] weber per square meter, [Wb/m 2 ] volt-second per square meter [V s/m 2 ] coulombs per square meter or [C/m 2 ] equivalently, newton per volt-meter [N/V m] ampere per meter [A/m] farads per meter [F/m] henries per meter, [H/m] or newtons per ampere squared [N/A 2 ]
7 Electric field Electric field is said to exist in a region of space if a charge experiences a force when placed anywhere in that region. If a unit positive charge is placed at some point in the field, the force experienced by it is said to be the electric stress at that point.
8 Electrostatics The electric charges do not change position in time. Therefore, ρ, E and D are constant and there is no magnetic field H, since there is no current density J.
9 Magnetostatics The charge crossing a given cross-section (current) does not vary in time. Therefore, J, H and B are constant.
10 Although charges are moving, the steady current maintains a constant charge density ρ in space and the electric field E is static.
11 Electric Field & Magnetic Field Voltage is associated with electric field Current is associated with magnetic field
12 Maxwell s equations Basic equations: rot E = E = B t rot H = H = J div D = ρ div B = 0 Auxiliary equations (constructive equations): J = σ E + ρ V + D t D = εe : Dielectric constant = 0 r r : relative dielectric constant (no unit), relative permittivity 0 = F/m dielectric constant for space, permittivity µ: permeability µ r : relative permeability µ 0 = 4 π H/m magnetic constant, relative permeability of space
13 The electrostatic equations The equations of electrostatics are obtained Maxwell s equations, By assuming / t, J, H and B are all zero:
14 The electrostatics equations: Poisson equation div D =. D = ρ div D =. εe = ε E = ε 2 V = ρ grad V 2 V = ρ ε V = ρ ε Poisson equation
15 The electrostatics equations: Laplace s equation If there is no free charges at the medium ρ = 0. V = 0 Laplace s equation
16 Operators: Laplacian V = 2 V x V y V z 2
17 Operators: Gradient V = V x i x + V y i y + V z i z
18 Laplace s equation in Cartesian coordinates: V = 2 V x V y V = 0 z2 V = V x i x + V y i y + V z i z
19 Laplace s equation in Polar coordinates: V = 2 V r r V r V r 2 θ V cotanθ r 2 sin 2 + θ α2 r 2 2 V = 0 θ2 V = V r i r + 1 r. sinθ V α i α + 1 r V θ i θ
20 Laplace s equation in Cylindrical coordinates: V = 2 V r r V r V r 2 θ V = 0 z2 V = V r i r + 1 r V θ i θ + V z i z
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
More informationGeneral review: - a) Dot Product
General review: - a) Dot Product If θ is the angle between the vectors a and b, then a b = a b cos θ NOTE: Two vectors a and b are orthogonal, if and only if a b = 0. Properties of the Dot Product If a,
More informationCHAPTER 2. COULOMB S LAW AND ELECTRONIC FIELD INTENSITY. 2.3 Field Due to a Continuous Volume Charge Distribution
CONTENTS CHAPTER 1. VECTOR ANALYSIS 1. Scalars and Vectors 2. Vector Algebra 3. The Cartesian Coordinate System 4. Vector Cartesian Coordinate System 5. The Vector Field 6. The Dot Product 7. The Cross
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 informationINTRODUCTION 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
More informationTECHNO INDIA BATANAGAR
TECHNO INDIA BATANAGAR ( DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING) QUESTION BANK- 2018 1.Vector Calculus Assistant Professor 9432183958.mukherjee@tib.edu.in 1. When the operator operates on
More informationCHAPTER 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,
More informationPHYSICS 1 (LIFE SCIENCES) ELECTRICITY
THE UNIVERSITY OF SYDNEY PHYSICS 1 (LIFE SCIENCES) ELECTRICITY ELEVENTH EDITION SI stands for Système International SI UNITS SI base units Quantity Unit Symbol Mass kilogram kg Distance metre m Time second
More informationVector field and Inductance. P.Ravindran, PHY041: Electricity & Magnetism 19 February 2013: Vector Field, Inductance.
Vector field and Inductance Earth s Magnetic Field Earth s field looks similar to what we d expect if 11.5 there were a giant bar magnet imbedded inside it, but the dipole axis of this magnet is offset
More informationUNIT-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
More informationfiziks 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
More informationCurrents (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
More informationELECTRO MAGNETIC FIELDS
SET - 1 1. a) State and explain Gauss law in differential form and also list the limitations of Guess law. b) A square sheet defined by -2 x 2m, -2 y 2m lies in the = -2m plane. The charge density on the
More informationUNIT-III Maxwell's equations (Time varying fields)
UNIT-III Maxwell's equations (Time varying fields) Faraday s law, transformer emf &inconsistency of ampere s law Displacement current density Maxwell s equations in final form Maxwell s equations in word
More informationChapter 1 Mathematical Foundations
Computational Electromagnetics; Chapter 1 1 Chapter 1 Mathematical Foundations 1.1 Maxwell s Equations Electromagnetic phenomena can be described by the electric field E, the electric induction D, the
More informationINSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING
Course Name Course Code Class Branch INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad - 00 0 DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING : Electro Magnetic fields : A00 : II B. Tech I
More informationRelevant Electrostatics and Magnetostatics (Old and New)
Unit 1 Relevant Electrostatics and Magnetostatics (Old and New) The whole of classical electrodynamics is encompassed by a set of coupled partial differential equations (at least in one form) bearing the
More informationIntroduction 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
More informationCalculus Relationships in AP Physics C: Electricity and Magnetism
C: Electricity This chapter focuses on some of the quantitative skills that are important in your C: Mechanics course. These are not all of the skills that you will learn, practice, and apply during the
More informationElectricity. Part 1: Static Electricity
Electricity Part 1: Static Electricity Introduction: Atoms Atoms are made up of charged particles. Atoms are made of 3 subatomic particles: Electrons protons, electrons and neutrons. Protons () Charge
More informationElectrostatics. Chapter Maxwell s Equations
Chapter 1 Electrostatics 1.1 Maxwell s Equations Electromagnetic behavior can be described using a set of four fundamental relations known as Maxwell s Equations. Note that these equations are observed,
More informationST.JOSEPH COLLEGE OF ENGINEERING,DEPARTMENT OF ECE
EC6403 -ELECTROMAGNETIC FIELDS CLASS/SEM: II ECE/IV SEM UNIT I - STATIC ELECTRIC FIELD Part A - Two Marks 1. Define scalar field? A field is a system in which a particular physical function has a value
More informationINSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad Electronics and Communicaton Engineering
INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad - 00 04 Electronics and Communicaton Engineering Question Bank Course Name : Electromagnetic Theory and Transmission Lines (EMTL) Course Code :
More informationProperties of Electric Charge
1 Goals 2 Properties of Electric Charge 2 Atomic Structure: Composed of three main particles: 1. Proton 2. Neutron 3. Electron Things to Remember: 3 Everything is made of atoms. Electrons can move from
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 informationA P P E N D I X C Units and Dimensions 795
A P P E N D I X C Units and Dimensions In 1960, the International System of Units was given official status at the Eleventh General Conference on Weights and Measures held in Paris. This system of units
More informationELECTROMAGNETIC FIELDS AND WAVES
ELECTROMAGNETIC FIELDS AND WAVES MAGDY F. ISKANDER Professor of Electrical Engineering University of Utah Englewood Cliffs, New Jersey 07632 CONTENTS PREFACE VECTOR ANALYSIS AND MAXWELL'S EQUATIONS IN
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 informationDHANALAKSHMI SRINIVASAN INSTITUTE OF RESEARCH AND TECHNOLOGY
DHANALAKSHMI SRINIVASAN INSTITUTE OF RESEARCH AND TECHNOLOGY SIRUVACHUR-621113 ELECTRICAL AND ELECTRONICS DEPARTMENT 2 MARK QUESTIONS AND ANSWERS SUBJECT CODE: EE 6302 SUBJECT NAME: ELECTROMAGNETIC THEORY
More informationElectromagnetic 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
More informationELECTROMAGNETIC FIELD
UNIT-III INTRODUCTION: In our study of static fields so far, we have observed that static electric fields are produced by electric charges, static magnetic fields are produced by charges in motion or by
More informationGravitational Charge
ravitational Charge Julio C. obbi 1 2017, 23 July ABTRACT: This article aims to put the gravitational equations in the same format as the electromagnetic equations to use the same mathematical tools we
More informationElectromagnetic 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
More informationUNIT-I INTRODUCTION TO COORDINATE SYSTEMS AND VECTOR ALGEBRA
SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) Subject with Code : EMF(16EE214) Sem: II-B.Tech & II-Sem Course & Branch: B.Tech - EEE Year
More informationChapter 5. Magnetostatics
Chapter 5. Magnetostatics 5.1 The Lorentz Force Law 5.1.1 Magnetic Fields Consider the forces between charges in motion Attraction of parallel currents and Repulsion of antiparallel ones: How do you explain
More informationDHANALAKSHMI SRINIVASAN COLLEGE OF ENGINEERING AND TECHNOLOGY
DHANALAKSHMI SRINIVASAN COLLEGE OF ENGINEERING AND TECHNOLOGY DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK III SEMESTER EE 8391 ELECTROMAGNETIC THEORY Regulation 2017 Academic Year
More informationKINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING QUESTION BANK
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING QUESTION BANK SUB.NAME : ELECTROMAGNETIC FIELDS SUBJECT CODE : EC 2253 YEAR / SEMESTER : II / IV UNIT- I - STATIC ELECTRIC
More information송석호 ( 물리학과 )
http://optics.hanyang.ac.kr/~shsong 송석호 ( 물리학과 ) Introduction to Electrodynamics, David J. Griffiths Review: 1. Vector analysis 2. Electrostatics 3. Special techniques 4. Electric fields in mater 5. Magnetostatics
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 informationAntennas and Propagation. Chapter 2: Basic Electromagnetic Analysis
Antennas and Propagation : Basic Electromagnetic Analysis Outline Vector Potentials, Wave Equation Far-field Radiation Duality/Reciprocity Transmission Lines Antennas and Propagation Slide 2 Antenna Theory
More information1. 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.
More informationUNIT 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.
More informationUnit-1 Electrostatics-1
1. Describe about Co-ordinate Systems. Co-ordinate Systems Unit-1 Electrostatics-1 In order to describe the spatial variations of the quantities, we require using appropriate coordinate system. A point
More informationWelcome to the exciting world of Electricity!
Welcome to the exciting world of Electricity! In this unit we will explore: static and current electricity circuits, how to build and design them the cost/benefit of our own electrical usage and the impact
More informationUNIT-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
More informationElectrostatics Describe and explain the properties of conductors and insulators
Electrostatics 5.1.1 Describe the process of electrification by friction The ancient Greeks found that if amber was rubbed with fur it would attract small objects like hair. If the amber is rubbed long
More informationr 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
More informationChap. 1 Fundamental Concepts
NE 2 Chap. 1 Fundamental Concepts Important Laws in Electromagnetics Coulomb s Law (1785) Gauss s Law (1839) Ampere s Law (1827) Ohm s Law (1827) Kirchhoff s Law (1845) Biot-Savart Law (1820) Faradays
More informationEELE 3332 Electromagnetic II Chapter 9. Maxwell s Equations. Islamic University of Gaza Electrical Engineering Department Dr.
EELE 3332 Electromagnetic II Chapter 9 Maxwell s Equations Islamic University of Gaza Electrical Engineering Department Dr. Talal Skaik 2012 1 Review Electrostatics and Magnetostatics Electrostatic Fields
More informationElectrodynamics and Microwaves 3. Gradient, Curl and Divergence
1 Module 3 Gradient, Divergence and Curl 1. Introduction 2. The operators & 2 3. Gradient 4. Divergence 5. Curl 6. Mathematical expressions for gradient, divergence and curl in different coordinate systems.
More informationELECTROMAGNETISM. Second Edition. I. S. Grant W. R. Phillips. John Wiley & Sons. Department of Physics University of Manchester
ELECTROMAGNETISM Second Edition I. S. Grant W. R. Phillips Department of Physics University of Manchester John Wiley & Sons CHICHESTER NEW YORK BRISBANE TORONTO SINGAPORE Flow diagram inside front cover
More information1 RF components. Cambridge University Press Radio Frequency Integrated Circuits and Systems Hooman Darabi Excerpt More information
9780521190794 Radio Frequency ntegrated Circuits and ystems 1 RF components n this chapter basic components used in RF design are discussed. A detailed modeling and analysis of MO transistors at high frequency
More informationAP Physics C - E & M
AP Physics C - E & M Electromagnetic Induction 2017-07-14 www.njctl.org Table of Contents: Electromagnetic Induction Click on the topic to go to that section. Induced EMF Magnetic Flux and Gauss's Law
More informationMaxwell s Equations:
Course Instructor Dr. Raymond C. Rumpf Office: A-337 Phone: (915) 747-6958 E-Mail: rcrumpf@utep.edu Maxwell s Equations: Terms & Definitions EE-3321 Electromagnetic Field Theory Outline Maxwell s Equations
More informationEELE 3332 Electromagnetic II Chapter 9. Maxwell s Equations. Islamic University of Gaza Electrical Engineering Department Dr.
EELE 3332 Electromagnetic II Chapter 9 Maxwell s Equations Islamic University of Gaza Electrical Engineering Department Dr. Talal Skaik 2013 1 Review Electrostatics and Magnetostatics Electrostatic Fields
More informationA Dash of Maxwell s. In the preceding chapters we have derived Maxwell s. A Maxwell s Equations Primer. Part 4 Equations Even a Computer Can Love
A Dash of Maxwell s by Glen Dash Ampyx LLC A Maxwell s Equations Primer Part 4 Equations Even a Computer Can Love In the preceding chapters we have derived Maxwell s Equations and expressed them in their
More informationMathematical Notes for E&M Gradient, Divergence, and Curl
Mathematical Notes for E&M Gradient, Divergence, and Curl In these notes I explain the differential operators gradient, divergence, and curl (also known as rotor), the relations between them, the integral
More informationEE6302 ELCTROMAGNETIC THEORY UNIT I ELECTROSTATICS I
13 EE630 ELCTROMAGNETIC THEORY UNIT I ELECTROSTATICS I 1. Define Scalar and Vector Scalar: Scalar is defined as a quantity that is characterized only by magnitude. Vector: Vector is defined as a quantity
More informationxkcd.com It IS about physics. It ALL is.
xkcd.com It IS about physics. It ALL is. Introduction to Space Plasmas The Plasma State What is a plasma? Basic plasma properties: Qualitative & Quantitative Examples of plasmas Single particle motion
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 information6.013 Recitation 11. Quasistatic Electric and Magnetic Fields in Devices and Circuit Elements
6.013 Recitation 11 Quasistatic Electric and Magnetic Fields in Devices and Circuit Elements A. Introduction The behavior of most electric devices depends on static or slowly varying (quasistatic 1 ) electric
More informationTransmission 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
More information1. Electrostatics Electric charge
1 1. Electrostatics Petrović Branko Email: bpshalom@yahoo.co.uk Electrostatics is branch of electromagnetism that deals with electric phenomena not associated with electric charge in motion. Fundamental
More informationUniversity of Saskatchewan Department of Electrical Engineering
University of Saskatchewan Department of Electrical Engineering December 9,2004 EE30 1 Electricity, Magnetism and Fields Final Examination Professor Robert E. Johanson Welcome to the EE301 Final. This
More informationLecture 13: Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay. Poisson s and Laplace s Equations
Poisson s and Laplace s Equations Lecture 13: Electromagnetic Theory Professor D. K. Ghosh, Physics Department, I.I.T., Bombay We will spend some time in looking at the mathematical foundations of electrostatics.
More informationECE 3110 Electromagnetic Fields I Spring 2016
ECE 3110 Electromagnetic Fields I Spring 2016 Class Time: Mon/Wed 12:15 ~ 1:30 PM Classroom: Columbine Hall 216 Office Hours: Mon/Wed 11:00 ~ 12:00 PM & 1:30-2:00 PM near Col 216, Tues 2:00 ~ 2:45 PM Other
More informationPart 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.
More informationA Brief Note on Maxwell s Equations
A Brief Note on Maxwell s Equations Bijoy Krishna Das Department of Electrical Engineering, IIT Madras Chennai - 600 036, India bkdas@ee.iitm.ac.in Abstract: The combined mathematical representation of
More informationElectric Charges and Fields
Electric Charges and Fields We evaluate electricity not by knowing what it is, but by scrutinizing what it does. I don t know who made this statement but it truly and philosophically describes much of
More informationAntenna Theory (Engineering 9816) Course Notes. Winter 2016
Antenna Theory (Engineering 9816) Course Notes Winter 2016 by E.W. Gill, Ph.D., P.Eng. Unit 1 Electromagnetics Review (Mostly) 1.1 Introduction Antennas act as transducers associated with the region of
More informationElectromagnetic 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
More information송석호 ( 물리학과 )
http://optics.hanyang.ac.kr/~shsong 송석호 ( 물리학과 ) Field and Wave Electromagnetics, David K. Cheng Reviews on (Week 1). Vector Analysis 3. tatic Electric Fields (Week ) 4. olution of Electrostatic Problems
More informationELE3310: Basic ElectroMagnetic Theory
A summary for the final examination EE Department The Chinese University of Hong Kong November 2008 Outline Mathematics 1 Mathematics Vectors and products Differential operators Integrals 2 Integral expressions
More information20.1 Electric Charge and Static Electricity. Electric charge is responsible for clothes that stick together when they are removed from a dryer.
Electric charge is responsible for clothes that stick together when they are removed from a dryer. Electric Charge What produces a net electric charge? An excess or shortage of electrons produces a net
More informationFor More info visit
In order to make the measurement of a physical quantity we have, first of all, to evolve a standard for that measurement so that different measurements of same physical quantity can be expressed relative
More informationMagnetic Fields
Magnetic circuits introduction Becomes aware of the similarities between the analysis of magnetic circuits and electric circuits. Develop a clear understanding of the important parameters of a magnetic
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 informationElectroscope Used to are transferred to the and Foil becomes and
Electricity Notes Chapter 17 Section 1: Electric Charge and Forces Electric charge is a variety of independent all with one single name. Electricity is related to, and both (-) and (+) carry a charge.
More informationSELAQUI INTERNATIONAL SCHOOL, DEHRADUN
CLASS XII Write Short Note: Q.1: Q.2: Q.3: SELAQUI INTERNATIONAL SCHOOL, DEHRADUN ELECTROSTATICS SUBJECT: PHYSICS (a) A truck carrying explosive has a metal chain touching the ground. Why? (b) Electric
More informationELECTRICITY AND MAGNETISM
THIRD EDITION ELECTRICITY AND MAGNETISM EDWARD M. PURCELL DAVID J. MORIN Harvard University, Massachusetts Щ CAMBRIDGE Ell UNIVERSITY PRESS Preface to the third edition of Volume 2 XIII CONTENTS Preface
More information10th week Lectures March Chapter 12
Electric charge. 10th week Lectures March 20. 2017. Chapter 12 Conductors and Insulators Coulomb law Electric field Electric Potential 3/20/2017 Physics 214 Spring 2017 1 Electric charge an atom has a
More informationELECTROMAGNETIC FIELDS AND RELATIVISTIC PARTICLES
ELECTROMAGNETIC FIELDS AND RELATIVISTIC PARTICLES Emil J. Konopinski Professor of Physics Indiana University McGraw-Hill Book Company New York St. Louis San Francisco Auckland Bogota Hamburg Johannesburg
More informationLecture 14 Date:
Lecture 14 Date: 06.01.014 Energy Density in Electrostatic Field Conduction and Convection Current Conductors Ohm s Law Resistor Energy Density in Electrostatic Field To determine the energy in an assembly
More informationTime-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.
More informationIndiana University Physics P331: Theory of Electromagnetism Review Problems #3
Indiana University Physics P331: Theory of Electromagnetism Review Problems #3 Note: The final exam (Friday 1/14 8:00-10:00 AM will be comprehensive, covering lecture and homework material pertaining to
More information9-3 Inductance. * We likewise can have self inductance, were a timevarying current in a circuit induces an emf voltage within that same circuit!
/3/004 section 9_3 Inductance / 9-3 Inductance Reading Assignment: pp. 90-86 * A transformer is an example of mutual inductance, where a time-varying current in one circuit (i.e., the primary) induces
More informationWhile the Gauss law forms for the static electric and steady magnetic field equations
Unit 2 Time-Varying Fields and Maxwell s Equations While the Gauss law forms for the static electric and steady magnetic field equations remain essentially unchanged for the case of time-varying fields,
More informationComment about Didactical formulation of the
Comment about Didactical formulation of the Ampère law Hendrik van Hees Institute for Theoretical Physics, Goethe University Frankfurt, Max-von-Laue-Str. 1, D-60438 Frankfurt, Germany Frankfurt Institute
More informationECE 107: Electromagnetism
ECE 107: Electromagnetism Notes Set 1 Instructor: Prof. Vitaliy Lomakin Department of Electrical and Computer Engineering University of California, San Diego, CA 92093 1 Introduction (1) atom Electromagnetism
More informationEngineering Electromagnetic Fields and Waves
CARL T. A. JOHNK Professor of Electrical Engineering University of Colorado, Boulder Engineering Electromagnetic Fields and Waves JOHN WILEY & SONS New York Chichester Brisbane Toronto Singapore CHAPTER
More informationElectromagnetic Theory Prof. D. K. Ghosh Department of Physics Indian Institute of Technology, Bombay
Electromagnetic Theory Prof. D. K. Ghosh Department of Physics Indian Institute of Technology, Bombay Module - 4 Time Varying Field Lecture - 30 Maxwell s Equations In the last lecture we had introduced
More informationRevision Guide for Chapter 15
Revision Guide for Chapter 15 Contents Revision Checklist Revision otes Transformer...4 Electromagnetic induction...4 Lenz's law...5 Generator...6 Electric motor...7 Magnetic field...9 Magnetic flux...
More informationTENTATIVE CONTENTS OF THE COURSE # EE-271 ENGINEERING ELECTROMAGNETICS, FS-2012 (as of 09/13/12) Dr. Marina Y. Koledintseva
TENTATIVE CONTENTS OF THE COURSE # EE-271 ENGINEERING ELECTROMAGNETICS, FS-2012 (as of 09/13/12) Dr. Marina Y. Koledintseva Part 1. Introduction Basic Physics and Mathematics for Electromagnetics. Lecture
More informationPeople experience static electricity everyday.
Electrostatics Electrostatics/static electricity is the branch of physics that deals with electrical charges or charged objects, and their interactions. The charges are stationary. People experience static
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 informationSection 12. Please pick-up section 12 packet and worksheet
Section 12 Please pick-up section 12 packet and worksheet Electrostatics Electrostatics, or electricity at rest, involves electric charges, the forces between them, and their behavior in materials. An
More informationTheme 5: Electricity in the Home
Theme 5: Electricity in the Home Static Electricity WHAT IS STATIC ELECTRICITY? Everything we see is made up of tiny little parts called atoms. So what are atoms made of? In the middle of each atom is
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 informationReview of Electrodynamics
Review of Electrodynamics VBS/MRC Review of Electrodynamics 0 First, the Questions What is light? How does a butterfly get its colours? How do we see them? VBS/MRC Review of Electrodynamics 1 Plan of Review
More informationChapter 1. Electrostatics. The Electric Charge
Chapter 1 Electrostatics The Electric Charge Electric charge, or electricity, can come from batteries and generators. But some materials become charged when they are rubbed. Their charge is sometimes called
More information