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323phys   ELECTROMAGNATIC (2)

TEXT BOOK: INTRODUCTION TO ELECTRODYNAMICS

BY: DAVID j. GRIFFITHS

AND

ELECTROMAGNETIC WAVES

BY: PAUL LORRAIN AND DAL R CORSON

 

 CHAPTER ONE: VECTOR ANALYSIS

 

1.1 VECTOR ALGEBRA

1.1.1 Vector Operations

1.1.2 Vector Algebra: Component Form

1.1.3 Triple Products

 

1.2 DIFFRENTIAL CACULUS

1.2.1 Ordinary derivative

1.2.2 Gradient

1.2.3 The Del (  Operator

1.2.4 Divergence

1.2.5 The Curl

1.2.6 Product Rules

1.2.7 Second derivatives

 

1.3 INTEGRAL CACULUS

 

1.3.1 Ordinary Integration

1.3.2 The Fundamental Theorem for Gradients

1.3.3 The Fundamental Theorem for Divergences

1.3.4 The Fundamental Theorem for Curl

 

1.4 CURVILINEAR CORDINATES

 

ٍ1.4.1 Spherical Polar Coordinate

1.4.2 Cylindrical Coordinates

 

 

 

CHAPTER TWO:  ELECTROSTATICS

 

2.1 THE ELECTROSTATIC FIELD

 

2.1.1 Coulomb's Law

2.1.2 The Electric Field

2.1.3 Continuous Charge Distributions

 

2.2 DIVERGENCE AND CURL OF ELECTROSTATIC FIELDS

 

2.2.1 Field Lines and Gauss's Law

2.2.2 The Divergence of

2.2.3 Applications of Gauss's Law

2.2.4 The Curl of

 

2.3 ELECTRIC POTINTIAL

 

2.3.1 The Potential Difference between two points

2.3.2 The Relation between the Electric Field and the Gradient of a Scalar Potential

2.3.3 Poisson's Equation and Lap lace's Equation

2.3.4 Potential of a Charge Distribution

 

2.4 WORK AND ENERGY IN ELECTROSTATICS

 

2.4.1 The Work Done in Moving a Charge

2.4.2 The Energy of a Point Charge Distribution

2.4.3 The Energy of a Continuous Charge Distribution

 

2.5 CONDUCTORS

 

2.5.1 Basic Properties of Conductors

2.5.2 Induced Charges

2.5.3 The surface Charge on a Conductor; the Force on a Surface Charge

2.5.4 Capacitors

 

 

CHAPTER THREE: ELECTROSTATIC FIELDS IN MATTER

 

3.1 POLARIZATION

 

3.1.1 Dielectrics

3.1.2 Induced Dipoles

 

3.2 THE FIELD OF A POLARIZED OPJECT

 

3.2.1 Bound Charges

3.2.2 The Field inside a Dielectric

 

3.4    THE ELECTRIC DISPLACEMENT AND LINEAR DIELECTRICS

3.4.1        Gauss's law in the Presence of Dielectrics

3.4.2        Susceptibility, Permittivity, Dielectric Constant

3.4.3        Energy in Dielectric Systems

 

 

 

CHAPTER FOUR: MAGNETOSTATICS

 

4.1 THE LORENTZ FORCE LAW

 

4.1.1 Magnetic Fields

4.1.2 Magnetic Forces

4.1.2 Currents

 

4.2    THE BIOT-SAVART LAW

 

4.2.1        Steady Currents

4.2.2        The Magnetic Field of a Steady Current

 

4.3    THE DIVERGENCE AND CURL OF

 

4.3.1        Straight-line Currents

4.3.2        The Divergence of

4.3.3        The Curl of

4.3.4        Ampere's law

4.3.5        Comparison of Magnetostatics and Electrostatics

 

4.4    MAGNETC VECTOR POTENTIAL

 

 

CHAPTER FIVE: ELECTRODYNAMICS

 

5.1    ELECTROMOTIVE FORCE

 

5.1.1        Ohm's Law

5.1.2        Electromotive Force

5.1.3        Motional emf

 

5.2    FARADAY'S LAW

 

5.2.1        Electromagnetic Induction

5.2.2        Inductance

5.2.3        Energy in Magnetic Fields

 

5.3    MAXWELL'S EQUATIONS

 

5.3.1        Electrodynamics Before Maxwell

5.3.2        How Maxwell Fixed Up Ampere's law

5.3.3        Maxwell's Equations in Free Space

5.3.4        Maxwell's Equations Inside Matter

5.3.5        Boundary Conditions

 

5.4    POTENTIAL FORMULATION OF ELECTRODYNAMICS

(Scalar and Vector Potentials)

 

5.5    ENERGY IN ELECTRODYNAMICS (POYNTING'S THEOREM)

 

CHAPTER SIX: ELECTROMAGNETC WAVES

 

 

6.1 THE WAVE EQUATION

 

6.2 ELECTROMAGNETIC WAVES IN NONCONDUCTING MEDIA

 

6.2.1 ELECTROMAGETIC WAVES IN VACUUM

 

6.2.1.1 Monochromatic Plane Waves in Vacuum

6.2.1.2 Maxwell's Wave Equations in vacuum

6.2.1.3 Energy Carried by electromagnetic Waves in vacuum

6.2.1.3 Momentum and Radiation Pressure in Vacuum

 

6.2.2 ELECTROMAGNETIC WAVES INSIDE MATTER

 

6.2.2.1 Monochromatic Plane Waves inside Matter

6.2.2.2 Maxwell's Wave Equations inside Matter

6.2.2.3 Energy Relations for a Plane Waves

 

6.3    ELECTROMAGNETIC WAVES IN CONDUCTORS

6.3.1        The Modified Wave Equation

6.3.2        Plane Waves in a Conducting Medium

 
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