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1 1.2.58J RADIATIVE TRANSFERS 2006 2.6.013 Electromagnetics & Applications SPRING 2009 3.ESD .13J ELECTROMAGNETICS AND APPLICATION 4.6.635 Advanced Electromagnetism spring 2003  5.6.661 Receivers, Antennas,a nd Signals  6. 8.02 2002 VIDEO 7. 8.02 NOTES electricity and magnetism 2007  8. 8.03 VIBRATION AND WAVES 9. 8.022 electricity and magnet ism SPRING 2005 10. 8.022 Physics II: Electricity and Magnetism FALL 2004  11. ESG 8022 electricity and magnetism 12. 8.311 ELECTROMAGNETIC THEORY (hand written notes)  13. 22.105 electromagnetic interactions  14. ELECTROMAGNETIC FIELDS AND ENERGY BOOK WITH video demonstration  15. 6.641 Electroma gnetic Fields, Forces, and Motion Spring 2005 16. 8.02X / ESG.802X Physics II: Electricity & Magnetism with an Experimental Focus 
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MIT_lecture indices

Apr 09, 2018

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1.2.58J RADIATIVE TRANSFERS 2006

2.6.013 Electromagnetics & Applications SPRING 2009 

3.ESD .13J ELECTROMAGNETICS AND APPLICATION 

4.6.635 Advanced Electromagnetism spring 2003 

5.6.661 Receivers, Antennas,and Signals 

6. 8.02 2002 VIDEO

7. 8.02 NOTES electricity and magnetism 2007 

8. 8.03 VIBRATION AND WAVES 

9. 8.022 electricity and magnetism SPRING 2005 

10. 8.022 Physics II: Electricity and Magnetism FALL 2004 

11. ESG 8022 electricity and magnetism 

12. 8.311 ELECTROMAGNETIC THEORY (hand written notes) 

13. 22.105 electromagnetic interactions 

14. ELECTROMAGNETIC FIELDS AND ENERGY BOOK WITH video

demonstration 

15. 6.641 Electromagnetic Fields, Forces, and Motion Spring2005 

16. 8.02X / ESG.802X Physics II: Electricity & Magnetism with an

Experimental Focus 

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17. Electromagnetic Field Theory: A Problem Solving Approach

BOOK 

1. 2.58J RADIATIVE TRANSFERS 2006 1 Review of Basic Thermal Radiation Concepts, Blackbody Radiation

2 View Factor, Simple Radiative Transfer

3 Radiative Transfer in Enclosures

4 Radiative Transfer in Enclosures (cont.)

5 EM Waves

6 EM Wave Modeling of Surfaces

7 EM Wave Modeling of Thin Films

8 EM Wave Modeling of Particles

9 Scattering Properties of Particulates

10 Dielectric Properties of Solid, Drude Model

11 Lorentz Model

12 Radiative Properties of Gases

13 Radiative Properties of Gases (cont.)

14 First Mid-term (In-class, Open Book)

15 Equation of Radiative Transfer in Participating Media

16 Solution of ERT for One-dimensional Gray Media

17 Discrete Ordinate Method

18 Spherical Harmonics Method

19 Approximate Solutions

20 Monte Carlo Simulation

21 Presentation and Discussion on Global Warming

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22 Near Field Thermal Radiation, Fluctuation-dissipation Theory

23 Near Field Thermal Radiation

24 Solar Cells

25 Coherent Radiation Source, Lasers

26 Laser Materials Interactions

2.6.013 Electromagnetics & Applications SPRING 2009 

L1 Foundations, forces and fields, Gauss's and Ampere's laws () for static fields

L2 Media, boundary conditions

L3 Review vector operators; Maxwell's differential equations (t), E, H, uniform plane wave; sin (t)

L4 Poynting theorem derivation (time), UPW example (we, wm, S(t))

Forces, motors, generators, and MEMS

L5 Electric forces on e-beams, C plates, force from w/z; generators and sensors

L6 Magnetic pressure, rotary wire and reluctance motors, forces on material

L7 Static and fields, Laplace's equation, separation of variables (x,y,z); inhomogeneous materials

Waves in media and at boundaries

L8 Electromagnetic fields in media, uniaxial media, quarter-wave plate

L9 Boundary conditions, kr, phase matching, non-uniform plane wave, Snell's law

L10 TE at planar boundary, TM by duality, Brewster's angle

Limits to computation speed

L11 Device and line delays; TEM parallel-plate line, telegraphers' equation, Zo

L12 Transients: Thevenin equivalents; L, C, diode loads; initial conditions; lossy TEM (

RF/microwave guidance and filtering

L13 Architecture, generalized TEM line, (z), (z), transformations

L14 RLC resonators, series, parallel, o, , , QL, QI, QE, coupling

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L15 TEM resonators, we(t), wm(t), Q, , examples; |V(z,f)|

L16 TEmn rectangular waveguide, cavity resonators, perturbations

Wireless communications

L17 Conservation of energy, power, G(,), Ae= G2 /4, Rr, VTh, RF links

L18 Radiation by current elements, Hertzian dipole, near and far fields; Biot-Savart

L19 Receiving antennas: VTh in dipoles and loops; d<</2, G = 4A/2

L20 Aperture antennas, diffraction

Optical communications

L21 Optical fibers, applications, dielectric slab waveguide, fiber design

L22 Lasers

Acoustics

L23 Acoustic waves, boundary conditions, reflections, antennas

L24 Course philosophy, resonator perturbations and speech generation

3.ESD .13J ELECTROMAGNETICS AND APPLICATION 

L1 Coulomb-Lorentz force law; Maxwell's equations in integral form; simple electric and magnetic field

solutions using Gauss' and Ampere's laws for point, line, and surface charges and currents; superposition; simple

cylindrical and spherical source problems

L2 Derive boundary conditions; apply boundary conditions to surface charge and surface current problems

L3 Divergence and Stokes' theorems; Maxwell's equations in differential form; electroquasistatics and

magnetoquasistatics (MQS); potential and the gradient operator

L4 The electric field, electric scalar potential, and the gradient; Poisson's and Laplace's equations; potential

of point charge; Coulomb superposition integral

L5 Method of images

L6-L7

Media: dielectric, conducting, and magnetic constitutive laws; charge relaxation

Conservation of charge boundary condition; Maxwell capacitor; magnetic dipoles and circuits; reluctance (PDF -

1.2 MB)

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II. Plane waves

L8 Wave equation; Poynting's theorem

L9 Oblique incidence on a perfect conductor; transverse magnetic (TM) waves with oblique incidence on

lossless media described by and µ; reflection and transmission; transverse electric (TE) waves with oblique

incidence on lossless media

III. Transmission lines and waveguides

L10

Parallel plate transmission lines; wave equation; sinusoidal steady state

L11

Gamma plane; Smith chart; voltage standing wave ratio (VSWR); /4 transformer

L12-L13

Wave equations (lossless); transient waves on transmission lines

Lecture 13

Reflections from ends; driven and initial value problems

L14 Rectangular waveguides; TM and TE modes; cut-off 

IV. Fields and forces

L15

Dielectric waveguides

L16-L17

Energy in electric and magnetic fields; principle of virtual work to find electric and magnetic forces; magnetic

circuit problems

Synchronous rotating machines

Film: Synchronous Machines

L18

Self-excited electric and magnetic machines

V. Antennas and radiation

L19 Radiation by charges and currents; setting the gauge; Lorentz gauge; superposition integral solutions for

scalar and vector potentials; radiation from a point electric dipole; receiving antenna properties

L20 2 element array; broad side and end-fire arrays

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L21 Transmitting and receiving antennas; wireless and optical communications

VI. Acoustics

L22 Acoustic waves

L23 Course review

Study Materials

Textbook with Videos

Electromagnetic Field Theory Textbook

Video Demonstrations

4.6.635 Advanced Electromagnetism spring 2003 

Lecture 1: Characterization of Left-handed Materials

Lecture 2: Dispertion Relations in Left-handed Materials

Lecture 3: Green's Functions for Planarly Layered Media

Lecture 4: Green's Functions for Planarly Layered Media (continued

Lecture 5: Integral Equations in Electromagnetics

Lecture 6: The Method of Moments in Electromagnetics

Lecture 7: Time Domain Method of Moments

Lecture 8: Scattering and Emission by a Periodic Rough Surface, Chapter 3

Lecture 9: Study of EM Waves in Periodic Structures

Study of EM Waves in Periodic Structures (Mathematical Details)

Lecture 10: Study of EM Waves in Periodic Structures: Photonic Crystals and Negative Refraction

Lecture 11: Electromagnetic Scattering by Single Particle

Lecture 12: Basic Theory of Electromagnetic Scattering, Chapter 2; Fundamentals of Random Scattering, Radiative

Transfer Theory,

Lecture 13: Fundamentals of Random Scattering, Chapter 3; Scattering and Emission by Layered Media,

Lecture 14: Solution Techniques of Radiative Transfer Theory, Chapter 8; Volume Scattering Simulations,

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Lecture 15: Volume Scattering Simulations, Chapter 7; 1-D Random Rough Surface Scattering,

Lecture 16: Scattering and Emission by a Periodic Rough Surface

5.6.661 Receivers, Antennas,and Signals 

1 Introduction and Review

2 Review, Thermal Noise

3 3-D Thermal Noise, Shot N

4 Receiver Power Sensitivity

5 Spectral Measurements, G, F

6 Receiver Noise, Multiports

7 Mixers, Noise Reduction, PTs

8 Optical Detection

9 Bolometers, Antenna Basics

10 Basic Wire Antennas, Arrays

11 Wire Antennas

12 Aperture Antennas

13 Polarization, Phase Errors

14 Binary Communications

15 Channel Coding

16 Source Coding, Analog Basics

17 Analog Modulation

18 Aperture Synthesis

19 Interferometry

20 Basic Radar, Ambiguity

21 Synth. Aperture Radar (SAR)

22 Wave Propagation

23 Linear, Non-Linear Estimation

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24 Non-Linear Estimation (cont.)

6.8.02 2002 VIDEO

7 Capacitance of Spheres (PDF)

8 Dielectrics and Polarization (PDF)

11 Build Your Own Electric Motor - Have Fun, and Earn Extra Credit (PDF)

13 Circular motion of Protons and Electrons - Particle Accelerators (PDF)

15 Mid-term Evaluation Form (PDF)

16 Non-conservative Fields - Do Not Trust Your Intuition (PDF)

20 Faraday's Law - Most Physics College Books have it WRONG! (PDF)

Driven L-R Circuits (PDF)

21 Magnetic Materials (PDF)

22 Maxwell's Equations! (PDF)

23 Exam 2 Review - Topics (PDF)

25 Driven L-R-C Circuits I (PDF)

Driven L-R-C Circuits II (PDF)

26 Oscillating Sound Cavities - Fundamentals of Wind Instruments (PDF)

27 Travelling Electromagnetic Waves (PDF)

29 Speed of EM Waves in Matter - Index of Refraction (PDF)

Color-Wavelength Chart (PDF)

31 15 Questions about Rainbows (PDF)

7.8.02 NOTES electricity and magnetism 2007 

1 Introduction to TEAL; Fields; Review of gravity; Electric field

2 Electric charge; Electric fields; Dipoles; Continuous charge distributions

3 Coordinate systems; Gradients; Line and surface integrals

4 Working in groups, electric potential, E from V

5 Electric potential, equipotentials

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6 Continuous charge distributions

7 Gauss's law

8 Gauss's law (cont.)

9 Conductors and capacitors

10 Capacitors

11 Capacitors (cont.)

12 Current, Resistance, and DC circuits

13 Exam 1 information

14 Magnetic fields: Creating magnetic fields - Biot-Savart

15 Magnetic fields: Creating magnetic fields - Ampere's Law

16 Ampere's law

17 Magnetic fields: Feeling magnetic fields - charges and dipoles

18 Magnetic levitation; Magnetic forces on dipoles

19 Magnetic fields: Force and torque on a current loop

20 Faraday's law

21 Faraday's law (cont.)

22 Mutual inductance and transformers; Inductors

23 Inductors and magnetic energy; RL circuits

24 Exam 2 information

25 RC and RL circuits (PDF)

26 RC and RL circuits (cont.)

27 LC, and undriven LRC circuits

28 Driven LRC circuits

29 Driven LRC circuits (cont.)

30 Maxwell's equations, EM radiation and energy flow

31 Maxwell's equations, EM radiation and energy flow (cont.)

32 EM radiation

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33 Generating EM radiation

34 Exam 3 information

35 Interference

Problem Solving

Class Slides

Visualizations

Experiments

Class Activities

Readings

8. 8.03 VIBRATION AND WAVES 

Mechanical vibrations and waves

Simple harmonic motion

Normal modes

Forced vibrations

Resonance

Coupled oscillations

Driven coupled oscillators

Vibrations of continuous systems

Reflection and refraction

Phase and group velocity

Wave solutions to Maxwell's equations

Polarization

Rayleigh Scattering

Snell's Law

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Fresnel equations

Interference, thin films

Huygens's principle

Fraunhofer diffraction, and

Gratings

9.8.022 electricity and magnetism SPRING 2005 

Vector and Scalar Fields

Gravitational Fields

Electric Fields

Charge

Dipoles

Continuous Charge Distributions

Electric Potential

Gauss' Law

Conductors and Insulators

Capacitors

Last Time: Conductors

Capacitors and Dielectrics

DC Circuits

Kirchhoff's Loop Rules

Working with Circuits

RC Circuits

Magnetic Fields

Charges moving in B Fields

Magnetic Force

Creating B Fields: Biot-Savart

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Dipoles and Magnetic Fields

Levitation

Ampere's Law

Faraday's Law

Faraday's Law: Applications

Transformers

Magnetic Materials

Inductance and LR Circuits

Energy in Inductors

LC Circuits

Driven Harmonic Motion (RLC)

Displacement Current

Maxwell's Equations

Electromagnetic Waves

Traveling and Standing Waves

Electromagnetic (EM) Waves

Generating Electromagnetic Waves

Plane EM Waves

Electric Dipole EM Waves

Interference

The Structure of Space and Time

Readings

Labs

Visualizations

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10.8.022 Physics II: Electricity and Magnetism FALL 2004 

Introduction 

Coulomb's Law, Superposition

Energy of Charge Distributions (PDF)

Electric Field, Electric Flux, Gauss's Law (PDF)

Energy Density of the Field

Electric Potential

Gradient

Gauss's Law Revisited

Divergence (PDF)

Poisson and Laplace Equations

Curl

Uniqueness Theorem

Introduction to Conductors (PDF)

Laboratory 1: Electrostatics

Fields and Potentials around Conductors

Capacitance (PDF)

More on Capacitance (PDF)

Current, Continuity Equation

Resistance, Ohm's Law (PDF)

EMF, Circuits

Kirchhoff's Rules (PDF)

Variable Currents, RC Circuits

Thévenin Equivalence (PDF)

Magnetic Force, Magnetic Field

Ampere's Law (PDF)

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Special Relativity I: Spacetime (PDF)

Special Relativity II: Forces and Fields

Equivalence of Electric and Magnetic Fields (PDF)

Ampere's Law Revisited

Vector Potential, Biot-Savart Law (PDF)

Faraday's Law, Lenz's Law (PDF)

Mutual and Self Inductance

Magnetic Field Energy (PDF)

RL Circuits

Undriven RLC Circuits

Phasor Representation (PDF)

Driven AC Circuits: Phasors, Impedance

Power and Energy (PDF)

AC Circuits (Conclusion)

Filters

Quality Factor and Resonance (PDF)

Displacement Current, Maxwell's Equations (PDF)

Wave Equation

Electromagnetic Radiation (PDF)

Radiation (cont.)

Polarization, Poynting Vector: Energy, Power and Momentum of Radiation (PDF)

Laboratory 3: Microwaves

Poynting Vector: Energy, Power and Momentum of Radiation, Magnetic Properties of Materials

Transmission Lines (PDF)

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11.ESG 8022 electricity and magnetism 

1 Electrostatics (PDF)

2 Electrostatics problem solving (PDF)

3 Vector review (PDF)

4 Divergence, gradient, curl (PDF)

5 Integral calculus, Dirac delta function (PDF)

6 Dirac delta function, curvilinear coordinates (PDF)

7 More curvilinear coordinates: Div and grad in spherical coordinates; Gauss's law (PDF)

8 Applications of Gauss's law: Field lines, point charge, Gaussian surfaces (PDF)

9 Applications of Gauss's law: Line charge, plane charge (PDF)

10 Electric potential; Poisson's equation; Laplace's equation (PDF)

11 Electrostatic boundary conditions; conductors (PDF)

12 Capacitors, dielectrics, work (PDF)

13 Capacitors, work, first and second uniqueness theorems (PDF)

14 Method of images (PDF)

15 Parallel plate capacitor, electric dipole (PDF)

16 Separation of variables (PDF)

19 Dielectrics (PDF)

20 Magnetostatics, electric currents (PDF)

21 Special relativity (PDF)

22 Special relativity (cont.) (PDF)

23 Electric fields and force (PDF)

24 Magnetic fields; Lorenz force law (PDF)

25 Cycloidal motion; Biot-Savart law (PDF)

26 Biot-Savart law (cont.); Ampere's law (PDF)

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27 Maxwell's equations (PDF)

28 Induction (PDF)

29 Magnetic boundary conditions; magnetic dipole (PDF)

30 Magnetization; magnetic properties of materials (PDF)

31 Review for exam 2 (PDF)

33 Ampere's law in magnetized materials (PDF)

34 Bound current; ferromagnetism (PDF)

35 Circuits (PDF)

36 Circuits; undriven RC circuits; Thevenin's theorem (PDF)

37 Thevenin's theorem (cont.); Ohm's law; Faraday's law; Lenz's law (PDF)

38 Alternating current circuits (PDF)

39 Inductance (PDF)

40 Undriven RLC circuits (PDF)

41 Driven RLC circuits; Ladder impedance (PDF)

42 Maxwell's equations (PDF)

43 Poynting vector; Maxwell stress tensor (PDF)

44 Conservation of momentum; Minkowski force (PDF)

46 Exam 3

47 Electromagnetic waves (PDF)

48 Electromagnetic waves (cont.) (PDF)

49 Topics for next week; relativity (PDF)

50 Faraday tensor; Maxwell; General relativity (PDF)

51 Quantum (PDF)

52 Schrodinger equation (PDF)

12.8.311 ELECTROMAGNETIC THEORY (hand written notes) 

Wave Guides (PDF)

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Field Oscillators (PDF)

Power Spectrum of Radiation (PDF)

Charge Moving in a Dielectric (PDF)

13.22.105 electromagnetic interactions 

1 Basics of Electrostatics (PDF) 

2 Solving Electrostatic Problems (PDF)

3 Separation of Variables (PDF)

4 Conformal Mapping and Green's Theorem (PDF)

5 Solving Problems using Green's Theorem (PDF)

6 Basics of Magnetostatics (PDF)

7 Applications of Magnetostatics (PDF)

8 Low Frequency Maxwell's Equations (PDF)

14.ELECTROMAGNETIC FIELDS AND ENERGY BOOK WITH video

demonstration 

1 Maxwell¶s Integral Laws in Free Space

1.0 IntroductionOverview of Subject.

1.1 The Lorentz Law in Free Space

1.2 Charge and Current Densities

1.3 Gauss¶ Integral Law of Electric Field Density

Singular Charge Distributions.Gauss¶ Continuity Condition.

1.4 Ampere¶s Integral LawSingular Current Distributions.Ampere¶s Continuity Condition.

1.5 Charge Conservation in Integral FormCharge Conservation Continuity Condition.

1.6 Faraday¶s Integral Law

Electric Field Intensity Having No Circulation.Electric Field Intensity with Circulation.Faraday¶sContinuity Condition.

1.7 Gauss¶ Integral Law of Magnetic FluxMagnetic Flux Continuity Condition.

1.8 Summary

2 Maxwell¶s Differential Laws in Free Space

2.0 Introduction

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2.1 The Divergence Operator 

2.2 Gauss¶ Integral Theorem

2.3 Gauss¶ Law, Magnetic Flux Continuity and Charge Conservation

2.4 The Curl Operator 

2.5 Stokes¶ Integral Theorem

2.6 Differential Laws of Ampere and Faraday

2.7 Visualization of Fields and the Divergence and Curl

2.8 Summary of Maxwell¶s Differential Laws and Integral Theorems

3 Introduction to Electroquasistatics and Magnetoquasistatics

3.0 Introduction

3.1 Temporal Evolution of World Governed by Laws of Maxwell, Lorentz, and Newton

3.2 Quasistatic Laws

3.3 Conditions for Fields to be Quasistatic

3.4 Quasistatic Systems

3.5 Overview of Applications

3.6 Summary

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4 Electroquasistatic Fields: The Superposition Integral Point of View

4.0 Introduction

4.1 Irrotational Field Represented by Scalar Potential: The Gradient Operator and Gradient Integral

TheoremVisualization of Two-Dimensional Irrotational Fields.

4.2 Poisson¶s Equation4.3 Superposition Principle

4.4 Fields Associated with Charge Singularities

Dipole at the Origin.Pair of Charges at Infinity Having Equal Magnitude and Opposite Sign.Other Charge Singularities.

4.5 Solution of Poisson¶s Equation for Specified Charge Distributions

Superposition Integral for Surface Charge Density.Superposition Integral for Line ChargeDensity.Two-Dimensional Charge and Field Distributions.Potential of Uniform Dipole Layer.

4.6 Electroquasistatic Fields in the Presence of Perfect ConductorsCapacitance.

4.7 Method of Images

4.8 Charge Simulation Approach to Boundary Value Problems

4.9 Summary

5 Electroquasistatic Fields from the Boundary Value Point of View

5.0 Introduction

5.1 Particular and Homogeneous Solutions to Poisson¶s and Laplace¶s EquationsSuperposition to Satisfy Boundary Conditions.Capacitance Matrix.

5.2 Uniqueness of Solutions of Poisson¶s Equation

5.3 Continuity Conditions

5.4 Solutions to Laplace¶s Equation in Cartesian Coordinates

5.5 Modal Expansions to Satisfy Boundary Conditions

5.6 Solutions to Poisson¶s Equation with Boundary Conditions

5.7 Solutions to Laplace¶s Equation in Polar Coordinates

5.8 Examples in Polar Coordinates

Simple Solutions.Azimuthal Modes.Radial Modes.

5.9 Three Solutions to Laplace¶s Equation in Spherical Coordinates

5.10 Three-Dimensional Solutions to Laplace¶s Equation

Cartesian Coordinate Product Solutions.Modal Expansion in Cartesian Coordinates.ModalExpansion in Other Coordinates.

5.11 Summary

6 Polarization

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6.0 Introduction

6.1 Polarization Density

6.2 Laws and Continuity Conditions with Polarization

Polarization Current Density and Ampere¶s Law.Displacement Flux Density.

6.3 Permanent Polarization

6.4 Polarization Constitutive Laws

6.5 Fields in the Presence of Electrically Linear Dielectrics

Capacitance.Induced Polarization Charge.

6.6 Piece-wise Uniform Electrically Linear Dielectrics

Uniform Dielectrics.Piece-wise Uniform Dielectrics.

6.7 Smoothly Inhomogeneous Electrically Linear Dielectrics

6.8 Summary

7 Conduction and Electroquasistatic Charge Relaxation

7.0 Introduction

7.1 Conduction Constitutive Laws

Ohmic Conduction.Unipolar Conduction.

7.2 Steady Ohmic Conduction

Continuity Conditions.Conductance.Qualitative View of Fields in Conductors.

7.3 Distributed Current Sources and Associated Fields

Distributed Current Source Singularities.Fields Associated with Current SourceSingularities.Method of Images.

7.4 Superposition and Uniqueness of Steady Conduction SolutionsSuperposition to Satisfy Boundary Conditions.The Conductance Matrix.Uniqueness.

7.5 Steady Currents in Piece-wise Uniform Conductors

 Analogy to Fields in Linear Dielectrics.Inside-Outside Approximations.

7.6 Conduction AnalogsMapping Fields That Satisfy Laplace¶s Equation.

7.7 Charge Relaxation in Uniform ConductorsNet Charge on Bodies Immersed in Uniform Materials.

7.8 Electroquasistatic Conduction Laws for Inhomogeneous Material

Evolution of Unpaired Charge Density.Electroquasistatic Potential Distribution.Uniqueness.

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7.9 Charge Relaxation in Uniform and Piece-Wise Uniform Systems

Fields in Regions Having Uniform Properties.Continuity Conditions in Piece-Wise UniformSystems.Nonuniform Fields in Piece-Wise Uniform Systems.

7.10 Summary

8 Magnetoquasistatic Fields: Superposition Integral and Boundary Value Points of View

8.0 Introduction

Vector Field Uniquely Specified.

8.1 The Vector Potential And the Vector Poisson Equation

Two-Dimensional Current and Vector Potential Distributions.

8.2 The Biot-Savart Superposition Integral

Stick Model for Computing Fields of Electromagnet.

8.3 The Scalar Magnetic PotentialThe Scalar Potential of a Current Loop.

8.4 Magnetoquasistatic Fields in the Presence of Perfect Conductors

Boundary Conditions and Evaluation of Induced Surface Current Density.Voltage at the Terminalsof a Perfectly Conducting Coil.Inductance.

8.5 Piece-Wise Magnetic Fields

8.6 Vector Potential and the Boundary Value Point of View

Vector Potential for Two-Dimensional Fields.Vector Potential for Axisymmetric Fields in Spherical

Coordinates.Boundary Value Solution by ³Inspection´.Method of Images.Two-DimensionalBoundary Value Problems.

8.7 Summary

9 Magnetization

9.0 Introduction

9.1 Magnetization Density

9.2 Laws and Continuity Conditions with Magnetization

Faraday¶s Law Including Magnetization.Magnetic Flux Density.Terminal Voltage withMagnetization.

9.3 Permanent Magnetization

9.4 Magnetization Constitutive Laws

9.5 Fields in the Presence of Magnetically Linear Insulating Materials

Inductance in the Presence of Linearly Magnetizable Materials.Induced Magnetic Charge:Demagnetization.

9.6 Fields in Piece-Wise Uniform Magnetically Linear MaterialsExcitation in Region of High Permeability.Excitation in Region of Low Permeability.

9.7 Magnetic Circuits

Electrical Terminal Relations and Characteristics.

9.8 Summary

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10 Magnetoquasistatic Relaxation and Diffusion

10.0 Introduction

10.1 Magnetoquasistatic Electric Fields in Systems of Perfect Conductors

10.2 Nature of Fields Induced in Finite Conductors

10.3 Diffusion of Axial Magnetic Fields Through Thin Conductors

10.4 Diffusion of Transverse Magnetic Fields Through Thin ConductorsResponse to a Step in Applied Field.

10.5 Magnetic Diffusion LawsPhysical Interpretation.

10.6 Magnetic Diffusion Transient ResponseProduct Solutions to the One-Dimensional Diffusion Equation.

10.7 Skin Effect

10.8 Summary

11 Energy, Power Flow and Forces

11.0 Introduction

Power Flow in a Circuit.Overview.11.1 Integral and Differential Conservation Statements

11.2 Poynting¶s TheoremSystems Composed of Perfect Conductors and Free Space.

11.3 Ohmic Conductors with Linear Polarization and Magnetization

 An Alternative Conservation Theorem for Electroquasistatic Systems.Poynting Power DensityRelated to Circuit Power Input.Poynting Flux and Electromagnetic Radiation.

11.4 Energy Storage

Energy Densities.Energy Storage in Terms of Terminal Variables.

11.5 Electromagnetic Dissipation

Energy Conservation for Temporarily Periodic Systems.Induction Heating.Dielectric

Heating.Hysteresis Losses.11.6 Electrical Forces on Macroscopic Media

11.7 Macroscopic Magnetic Forces

Reciprocity Conditions.Finding the Coenergy.Evaluation of the Force.The Torque of ElectricalOrigin.

11.8 Forces on Macroscopic Electric and Magnetic Dipoles

Force on an Electric Dipole.Force on Electric Charge Derived from Energy Principle.Force on a

Magnetic Charge and Magnetic Dipole.Comparison of Coulomb¶s Force to the Force on a

Magnetic Dipole.

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11.9 Macroscopic Force Densities

The Lorentz Force Density.THe Kelvin Polarization Force Density.The Kelvin MagnetizationForce Density.Alternative Force Densities.

11.10 Summary

12 Electrodynamic Fields: The Superposition Integral Point of View

12.0 Introduction

12.1 Electrodynamic Fields and Potentials

Superposition Principle.Continuity Conditions.

12.2 Electrodynamic Fields of Source Singularities

Potential of a Point Charge.Electric Dipole Field.Electric Dipole in the Sinusoidal SteadyState.The Far-Field and Uniformly Polarized Plane Waves.Magnetic Dipole Field.

12.3 Superposition Integral for Electrodynamic FieldsTransient Response.Sinusoidal Steady State Response.

12.4 Antennae Radiation Fields in the Sinusoidal Steady State

Distributed Current Distribution.Arrays.Dipoles in Broadside Array.Dipoles in End-Fire Array.Finite Dipoles in End-Fire Array.Gain.

12.5 Complex Poynting¶s Theorem and Radiation ResistanceComplex Poynting¶s Theorem.Radiation Resistance.

12.6 Periodic Sheet-Source Fields: Uniform and Nonuniform Plane Waves

Transverse Magnetic (TM) Fields.Product Solutions to the Helmhotz Equation.TransverseElectric (TE) Fields.

12.7 Electrodynamic Fields in the Presence of Perfect Conductors

Method of Images.Quarter-wave Antenna Above a Ground-plane.Two-element Array over Ground Plane.Ground-plane With Reflector.Boundaries at the Nodes of Standing Waves.

12.8 Summary

13 Electrodynamic Fields: The Boundary Value Point of View

13.0 Introduction13.1 Introduction to TEM Waves

The MQS Limit.The MQS Approximation.

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The EQS Limit.The EQS Approximation.

13.2 Two-Dimensional Modes Between Parallel-Plates

13.3 TE and TM Standing Waves Between Parallel Plates

13.4 Rectangular Waveguide Modes

13.5 Dielectric Waveguides: Optical Fibers

13.6 Summary

14 One-Dimensional Wave Dynamics

14.0 Introduction

14.1 Distributed Parameter Equivalents and ModelsPlane Waves.Ideal Transmission Line.Quasi-One-Dimensional Models.

14.2 Transverse Electromagnetic WavesNo TEM Fields in Hollow Pipes.Power-flow and Energy Storage.

14.3 Transients on Infinite Transmission Lines

Response to initial Conditions.

14.4 Transients on Bounded Transmission Lines

Matching.

14.5 Transmission Lines in the Sinusoidal Steady State

Transmission Line Impedance.

14.6 Reflection Coefficient Representation of Transmission LinesSmith Chart.Standing Wave Radio.Admittance in the Reflection-Coefficient Plane.

14.7 Distributed Parameter Equivalents and Models with Dissipation

14.8 Uniform and TEM Waves in Ohmic Conductors

Displacement Current Much Greater Than Displacement Current. Conduction Current MuchGreater Than Conduction Current.

14.9 Quasi-One-Dimensional Models

Charge Diffusion Transmission-Line.Skin-Depth small Compared to All Dimensions of Interest.

14.10 Summary

15 Overview of Electromagnetic Fields

15.0 Introduction

15.1 Source and Material Configuration

Incremental DipolesPlanar Periodic Configuration.Cylindrical and Spherical.Fields Between Plane

Parallel Plates.Axisymmetric (Coaxial) Fields.TM and TE Fields with Longitudinal Boundary

Conditions.Cylindrical Conductor Pair and Conductor Plane.

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15.2 Macroscopic Media

Source Representation of Macroscopic Media.Material Idealizations.The Relativity of Perfection.

15.3 Characteristic Times, Physical Processes, and Approximations

Self-Consistency of Approximate Laws.Similitude and Maxwell¶s Equations.CharacteristicTimes and Lengths.

15.4 Energy, Power, and Force

Energy and Quasistatics.

 Appendices

 Appendix 1. Vector Operations

VectorsVector AdditionDefinition of Scalar ProductDefinition of Vector ProductThe Scalar TripleProductThe Double Cross-Product

 Appendix 2. Line and Surface Integrals and Proof that Curl is a Vector Line IntegralsSurface IntegralsProof that the Curl Operation Results in a Vector 

15.6.641 Electromagnetic Fields, Forces, and Motion Spring

2005 

L1 Integral form of Maxwell's equations (PDF)

L2 Differential form of Maxwell's equations (PDF)

L3 Electroquasistatic (EQS) and magnetoquasistatic (MQS) fields and boundary conditions (PDF)

L4 The scalar electric potential and the Coulomb superposition integral (PDF)

L5 Method of images (PDF)

L6 Magnetoquasistatics (PDF)

II. Polarization, conduction, and magnetization

L7 Polarization and conduction (PDF - 1.3 MB)

L8 Magnetization (PDF)

L9 Magnetic diffusion phenomena (PDF)

III. Boundary value EQS and MQS problems

L10 Solutions to Laplace's equation in cartesian coordinates (PDF)

L11 Solutions to Laplace's equation in polar and spherical coordinates (PDF)

IV. Electromagnetic fields and forces

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L12 Electroquasistatic forces (PDF)

L13 Magnetoquasistatic forces (PDF)

L14 Fields and moving media (PDF - 1.6 MB)

L15 Force densities, stress tensors, and forces (PDF)

V. Electromechanical waves

L16 Elastic waves on a thin rod (PDF)

L17 Transient waves on transmission lines (PDF - 1.2 MB)

L18

Waves and instabilities in elastic media (PDF - 1.3 MB)

Film: Complex Waves I

L19

Waves and instabilities in the presence of motion (PDF)

Film: Complex Waves II

VIDEO DEMONSTRATION 

16.8.02X / ESG.802X Physics II: Electricity & Magnetism with an

Experimental Focus 

1 Introduction; Electric Charge (PDF)

2 Fundamental Forces; Coulomb's Law; Electrostatic Induction (PDF)

3 Coulomb's Law (cont.); Induction (PDF)

4 Electric Field (PDF)

5 Electric Field (cont.) (PDF)

6 Electric Flux; Gauss's Law (PDF)

7 Electric Flux (cont.); Gauss's Law (cont.) (PDF)

8 Kelvin Water Drop Generator; Electric Potential Energy; Electric Potential (PDF)

9 Conductors, Isolators, and Semi-Conductors (PDF)

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10 Review for Quiz 1 (PDF)

11 Electric Field and Electric Potential; Capacitors (PDF)

12 Capacitors as Energy Storage; Capacitors in Circuits (PDF)

13 Dielectrics; Electrostatic Force Experiment (PDF)

14 Electric Current; Resistivity and Resistance; Ohm's Law (PDF)

15 Electric Power; Electromotive Force; Circuits; Kirchoff's Rules (PDF)

16 DC and RC Circuits (PDF)

17 Review for Quiz 2 (PDF)

18 Electrical Breakdown Experiment; Ionization (PDF)

19 Magnetism (PDF)

20 Charged Particles in a Magnetic Field; Sources of Magnetic Fields (PDF)

21 Biot-Savart Law; Ampere's Law (PDF)

22 Review for Quiz 3 (PDF)

23 Inductance; RL Circuits; Energy Storage in Inductors (PDF)

24 RLC Circuits (PDF)

25 LC Circuits; Displacement Current; Maxwell's Equations (PDF)

26 Electromagnetic Waves (PDF)

27 Properties of EM waves (PDF)

28 Review (PDF)

29 Microwave Experiment; Polarization (PDF)

30 Polarization; Superposition; Scattering of Light (PDF

17.Electromagnetic Field Theory: A Problem Solving Approach

BOOK 

Chapter 1: Review of Vector Analysis, pp

1.1 Coordinate systems, pp. 2-7

1.2 Vector Algebra, pp. 7-16

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1.3 The gradient and the del operator, pp. 16-21

1.4 Flux and divergence, pp. 21-28

1.5 The Curl and Stokes' theorem, pp. 28-39

Chapter 2: The Electric Field, pp. 49-134 (PDF - 2.4MB)

2.1 Electric charge, pp. 50-54

2.2 The Coulomb force law between stationary charges, pp. 54-59

2.3 Charge distributions, pp. 59-72

2.4 Gauss's law, pp. 72-84

2.5 The electric potential, pp. 84-93

2.6 The method of images with line charges and cylinders, pp. 93-103

2.7 The method of images with point charges and spheres, pp. 103-110

Chapter 3: Polarization and Conduction, pp. 135-256 (PDF - 3.8MB)

3.1 Polarization, pp. 136-152

3.2 Conduction, pp. 152-161

3.3 Field boundary conditions, 161-169

3.4 Resistance, pp. 169-173

3.5 Capacitance, pp. 173-181

3.6 Lossy media, pp. 181-197

3.7 Field-dependent space charge distributions, pp. 197-204

3.8 Energy stored in a dielectric medium, pp. 204-213

3.9 Fields and their forces, pp. 213-223

3.10 Electrostatic generators, pp. 223-231

Chapter 4: Electric Field Boundary Value Problems, pp. 257-312 (PDF - 1.6MB)

4.1 The uniqueness theorem, pp. 258-259

4.2 Boundary value problems in Cartesian geometries, pp. 259-271

4.3 Separation of variables in cylindrical geometry, pp. 271-284

4.4 Product solutions in spherical geometry, pp. 284-297

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4.5 A numerical method-successive relaxation, pp. 297-301

Chapter 5: The Magnetic Field, pp. 313-392 (PDF - 2.2MB)

5.1 Forces on moving charges, pp. 314-322

5.2 Magnetic field due to currents, pp. 322-332

5.3 Divergence and curl of the magnetic field, pp. 332-336

5.4 The vector potential, pp. 336-343

5.5 Magnetization, pp. 343-359

5.6 Boundary conditions, pp. 359-361

5.7 Magnetic field boundary value problems, pp. 361-368

5.8 Magnetic fields and forces, pp. 368-375

Chapter 6: Electromagnetic Induction, pp. 393-486 (PDF - 2.6MB)

6.1 Faraday's law of induction, pp. 395-405

6.2 Magnetic circuits, pp. 405-417

6.3 Faraday's law for moving media, pp. 417-435

6.4 Magnetic diffusion into an ohmic conductor, pp. 435-451

6.5 Energy stored in the magnetic field, pp. 451-460

6.6 The energy method for forces, pp. 460-465

Problems, pp. 465-486

Chapter 7: Electrodynamics-Fields and Waves, pp. 487-566 (PDF - 2.4MB)

7.1 Maxwell's equations, pp. 487-490

7.2 Conservation of energy, pp. 490-496

7.3 Transverse electromagnetic waves, pp. 496-505

7.4 Sinusoidal time variations, pp. 505-520

7.5 Normal incidence onto a perfect conductor, pp. 520-522

7.6 Normal incidence onto a dielectric, pp. 522-529

7.7 Uniform and nonuniform plane waves, pp. 529-534

7.8 Oblique incidence onto a perfect conductor, pp. 534-538

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7.9 Oblique incidence onto a dielectric, pp. 538-544

7.10 Applications to optics, pp. 544-552

Chapter 8: Guided Electromagnetic Waves, pp. 567-662 (PDF - 2.9MB)

8.1 The transmission line equations, pp. 568-579

8.2 Transmission line transient waves, pp. 579-595

8.3 Sinusoidal time variations, pp. 595-607

8.4 Arbitrary impedance terminations, pp. 607-620

8.5 Stub tuning, pp. 620-629

8.6 The rectangular waveguide, pp. 629-644

8.7 Dielectric waveguide, pp. 644-649

Chapter 9: Radiation, pp. 663-698 (PDF)

9.1 The retarded potentials, pp. 664-667

9.2 Radiation from point dipoles, pp. 667-681

9.3 Point dipole arrays, pp. 681-687

9.4 Long dipole antennas, pp. 687-694