Electromagnetism

ISBN-10: 0805385673

ISBN-13: 9780805385670

Edition: 2002

List price: $180.20 Buy it from $66.73
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Description: Electromagnetism sets a new standard in physics education. Throughout the book, the theory is illustrated with real-life applications in modern technology. It also includes detailed worked examples and step-by-step explanations to help readers develop their problem-solving strategies and skills and consolidate their understanding. In addition to a meticulous development of these traditional, analytical mathematical approaches, readers are also introduced to a range of techniques required for solving problems using computers.Electromagnetism provides an ideal preparation for students who plan more advanced studies in electrodynamics as well as those moving into industry or engineering.

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Book details

List price: $180.20
Copyright year: 2002
Publisher: Addison Wesley
Publication date: 10/2/2001
Binding: Hardcover
Pages: 680
Size: 7.50" wide x 9.25" long x 1.25" tall
Weight: 2.882
Language: English

History and Perspective
Brief History of the Science of Electromagnetism
Electromagnetism in the Standard Model
Vector Calculus
Vector Algebra
Definitions
Addition and Multiplication of Vectors
Vector Product Identities
Geometric Meanings
Vector Differential Operators
Gradient of a Scalar Function
Divergence of a Vector Function
Curl of a Vector Function
Del Identities
Integral Theorems
Gauss's Theorem
Stokes's Theorem
Vector Calculus in Fluid Mechanics
Curvilinear Coordinates
General Derivations
Cartesian, Cylindrical, and Spherical Coordinates
The Helmholtz Theorem
Basic Principles of Electrostatics
Coulomb's Law
The Superposition Principle
The Electric Field
Definition
Charge as the Source of E
Field of a Charge Continuum
Curl and Divergence of E
Field Theory Versus Action at a Distance
Boundary Conditions of the Electrostatic Field
The Integral Form of Gauss's Law
Flux and Charge
Proof of Gauss's Law
Calculations Based on Gauss's Law
Green's Function and the Dirac delta Function
The Dirac delta Function
Another Proof of Gauss's Law
The Electric Potential
Definition and Construction
Poisson's Equation
Example Calculations of V (x)
Energy of the Electric Field
The Multipole Expansion
Two Charges
The Electric Dipole
Moments of a General Charge Distribution
Equipotentials and Field Lines
Torque and Potential Energy for a Dipole in an Electric Field
Applications
Chapter Summary
Electrostatics and Conductors
Electrostatic properties of conductors
Electrostatic Problems with Rectangular Symmetry
Charged Plates
Problems with Rectangular Symmetry and External Point Charges. The Method of Images
Problems with Spherical Symmetry
Charged Spheres
Problems with Spherical Symmetry and External Charges
Problems with Cylindrical Symmetry
Charged Lines and Cylinders
Problems with Cylindrical Symmetry and an External Line Charge
General Methods for Laplace's Equation
Separation of Variables for Cartesian Coordinates
Separable Solutions for Cartesian Coordinates
Examples
Separation of Variables for Spherical Polar Coordinates
Separable Solutions for Spherical Coordinates
Legendre Polynomials
Examples with Spherical Boundaries
Separation of Variables for Cylindrical Coordinates
Separable Solutions for Cylindrical Coordinates
Conjugate Functions in 2 Dimensions
Iterative Relaxation: A Numerical Method
Electrostatics and Dielectrics
The Atom as an Electric Dipole
Induced Dipoles
Polar Molecules
Polarization and Bound Charge
The Displacement Field
Linear Dielectrics
The Clausius-Mossotti Formula
Poisson's Equation in a Uniform Linear Dielectric
Dielectric Material in a Capacitor
Design of Capacitors
Microscopic Theory
Energy in a Capacitor
A Concrete Model of a Dielectric
Boundary Value Problems with Dielectric
The Boundary Conditions
A Dielectric Sphere in an Applied Field
A Point Charge above a Dielectric with a Plannar Boundary Surface
A Capacitor Partially Filled with Dielectric
Electric Currents
Electric Current in a Wire
Current Density and the Continuity Equation
Local Conservation of Charge
Boundary Condition on J(x, t)
Current and Resistance
Ohm's Law
Fabrication of Resistors
The Surface Charge on a Current Carrying Wire
A Classical Model of Conductivity
Joule's Law
Decay of a Charge Density Fluctuation
I-V Characteristic of a Vacuum-Tube Diode
Chapter Summary
Magnetostatics
The Magnetic Force and the Magnetic Field
Force on a Moving Charge
Force on a Current-Carrying Wire
Applications of the Magnetic Force
Helical or Circular Motion of q in Uniform B
Cycloidal Motion of q in Crossed E and B
Electric Motors
Electric Current as a Source of Magnetic Field
The Biot-Savart Law
Forces on Parallel Wires
General Field Equations for B(x)
Ampere's Law
Ampere Law Calculations
Formal Proof of Ampere's Law
The Vector Potential
General Solution for A(x)
The Magnetic Dipole
Asymptotic Analysis
Dipole Moment of a Planar Loop
Torque and Potential Energy of a Magnetic Dipole
The Magnetic Field of the Earth
The Full Field of a Current Loop
Magnetic Fields and Matter
The Atom as a Magnetic Dipole
Diamagnetism
Paramagnetism
Magnetization and Bound Currents
Examples
A Geometric Derivation of the Bound Currents
Ampere's Law for Free Currents, and H
The Integral Form of Ampere's Law
The Constitutive Equation
Magnetic Susceptibilities
Boundary Conditions for Magnetic Fields
Problems Involving Free Currents and Magnetic Materials
A Magnetic Body in an External Field: The Magnetic Scalar Potential [phi subscript m](x)
Ferromagnetism
Measuring Magnetization Curves: The Rowland Ring
Magnetization Curves of Ferromagnetic Materials
The Permeability of a Ferromagnetic Material
Electromagnetic Induction
Motional EMF
Electromotive Force
EMF from Motion in B
The Faraday Disk Generator
Faraday's Law of Electromagnetic Induction
Mathematical Statement
Lenz's Law
Eddy Currents
Applications of Faraday's Law
The Electric Generator and Induction Motor
The Betatron
Self-Inductance
Classical Model of Diamagnetism
Mutual Inductance
Magnetic Field Energy
Energy in a Ferromagnet
The Maxwell Equations
The Maxwell Equations in Vacuum and the Displacement Current
The Displacement Current
Scalar and Vector Potentials
Gauge Transformations and Gauge Invariance
Gauge Choices and Equations for A(x,t) and V(x,t)
The Maxwell Equations in Matter
Free and Bound Charge and Current
Boundary Conditions of Fields
Energy and Momentum of Electromagnetic Fields
Poynting's Theorem
Field Momentum
Electromagnetic Waves in Vacuum
Derivation of the Wave Equation
An Example of a Plane Wave Solution
Derivation of the General Plane Wave Solution
A Spherical Harmonic Wave
The Theory of Light
Electromagnetism and Relativity
Coordinate Transformations
The Galilean Transformation
The Lorentz Transformation
Examples Involving the Lorentz Transformation
Minkowski Space
4-vectors, Scalars, and Tensors
Kinematics of a Point Particle
Relativistic Dynamics
Electromagnetism in Covariant Form
The Lorentz Force and the Field Tensor
Maxwell's Equations in Covariant Form
The 4-vector Potential
Field Transformations
Fields Due to a Point Charge in Uniform Motion
Magnetism from Relativity
The Energy-Momentum Flux Tensor
Electromagnetism and Optics
Electromagnetic Waves in a Dielectric
Reflection and Refraction at a Dielectric Interface
Wave Vectors
Reflectivity for Normal Incidence
Reflection for Incidence at Arbitrary Angles: Fresnel's Equations
Electromagnetic Waves in a Conductor
Reflectivity of a Good Conductor
A Classical Model of Dispersion: The Frequency Dependence of Material Properties
Dispersion in a Dielectric
Dispersion in a Plasma
Wave Guides and Transmission Lines
Electromagnetic Waves Between Parallel Conducting Planes
The TEM Solution
TE Waves
TM Waves
Summary
The Rectangular Wave Guide
Transverse Electric Modes TE(m, n)
Transverse Magnetic Modes TM(m, n)
Wave Guide of Arbitrary Shape
The TEM Mode of a Coaxial Cable
Cavity Resonance
Radiation of Electromagnetic Waves
The Retarded Potentials
Green's Functions
Radiation from an Electric Dipole
The Hertzian Dipole
Atomic Transitions
Magnetic Dipole Radiation
Complete Fields of a Hertzian Dipole
The Half-Wave Linear Antenna
The Larmor Formula: Radiation from a Point Charge
Classical Electron Theory of Light Scattering
Complete Fields of a Point Charge: The Lienard-Wiechert Potentials
A Charge with Constant Velocity
The Complete Fields
Generalization of the Larmor Formula
Electric and Magnetic Units
The Helmholtz Theorem
Index
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