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Description: Introduction to Electromagnetic Theory: A Modern Perspective presents a complete account of classic electromagnetism with a modern approach, incorporating real-world scenarios and current technology. The text introduces and then expands upon the four basic types of forces-gravitational, electromagnetic, strong, and weak-using present-day examples and cases. Contents also include electrostatics of charges, magnetostatics, and the Maxwell Equation, as well as the motion of particles in electric and magnetic fields. Written by a leading physicist and teacher, Introduction to Electromagnetic Theory is the most current and comprehensive introduction to the field for advanced undergraduate and graduate physics students.
Key Features:
• Each chapter contains a set of problems for continued study, which vary in degree of difficulty and are intended to supplement or amplify the material presented in the text.
• A review of vector analysis is presented in Chapter 1 to prepare students for the mathematical theory presented throughout the book.
• A broad array of worked examples with detailed explanations aid in students" comprehension and retention of material presented.
Contents: Preface • Introduction
Chapter 1: Mathematical Preliminaries • Dimensions, Units, and Dimensional Analysis • Vector Algebra • The Scalar Product of Two Vectors • The Vector Product of Two Vectors • The Triple Scalar Product • The Triple Vector Product • Coordinate Systems • Cylindrical Polar Coordinates (p, f, z) • Spherical Polar Coordinates (r, ?¸,f) • Vector Differentiation • The Gradient • The Divergence of a Vector • The Laplacian Operator s2 • The Curl of a Vector • Vector Integration and Integral Theorems • Volume Integrals and Line Integrals • Surfaces and Surface Integrals • The Divergence Theorem and Stokes" Theorem • Dirac"s Delta Function • Analytical Mechanics • Problem
Chapter 2: Electrostatics • Coulomb"s Law • Principle of Superposition • The Electric Field • Earnshaw Theorem • The Electrostatic Potential • Equipotentials and Field Lines • Gauss" Law: Integral and Differential Forms • Applications of Gauss" Law • Is the Field of a Point Charge Exactly 1/r2? • Energy of Electrostatic Systems • Conductors in the Electrostatic Field • Electrical Shielding • Force on a Charged Conducting Surface • High- Voltage Breakdown • Capacitors • The Energy of a Capacitor • Electric Dipole • Electric Dipole in an External Electric Field • Electric Double Layers • Multipole Expansion of Potentials • Minimum Energy Theorem • Applications of Electrostatic Fields • Electrostatic Particle Precipitators • Photoduplication (Xerography) • Electrostatic Lenses • Problems
Chapter 3: Electrostatic Boundary Value Problems • Introduction • Solution of Laplace"s Equation • Principle of Superposition • Uniqueness Theorem • Laplace"s Equation in Rectangular Coordinates • Method of Variable Separation • Laplace"s Equation in Spherical Polar Coordinates • Legendre"s Equation and Legendre Polynomials • Laplace"s Equation in Cylindrical Polar Coordinates • Solution of Poisson"s Equation • Formal (Green"s Function) Solution to Poisson"s Equation • Green"s Function • Method of Image Charges • Conjugate Functions and Two-Dimensional Electrostatic Problems • Problems
Chapter 4: Magnetostatics • Electric Current • The Lorentz Force and Magnetic Fields • Gauss" Law for the Magnetic Field • Forces on Current-Carrying Conductors • The Magnetic Field of Steady Current: Ampere"s Circuital Law • The Vector Potential • Field of a Small Current Loop: The Magnetic Dipole • Magnetic Dipole in an External Magnetic Field • The Law of Biot-Savart • The Laws of Magnetostatics From the Biot-Savart Law • The Magnetic Scalar Potential • A Comparison Between Electrostatics and Magnetostatics • Magnetic Dipole Moments at the Atomic Level • Problems
Chapter 5: Time-Dependent Magnetic Fields and Faraday"s Law of Induction • Magnetic Flux • Electromotive Force • Motional Electromotive Force and Lenz"s Law • Faraday"s Law of Induction for a Moving Circuit • Integral and Differential Forms of Faraday"s Law of Induction • Applications of Faraday"s Law of Induction • The Betatron • Electric Generators • Faraday"s Disc • Electromagnetic Potentials • Self-Inductance • Mutual Inductance and Neumann"s Formula • Magnetic Energy • Magnetic Energy in Terms of Circuit Parameters • Magnetic Energy in Terms of Field Vectors • Forces and Torques on Linear Magnetic Materials • The Transformer • Eddy Current and Magnetic Levitation • Problems
Chapter 6: Maxwell Equations and Electromagnetic Waves in Vacuum • Displacement Current • Maxwell Equations • Magnetic Monopoles • Decay of Free Charge • Electromagnetic Potentials and Wave Equations in Vacuum • Plane Electromagnetic Waves • Polarization • Waves in Three Dimensions, Spherical Waves • Energy and Momentum in Electromagnetic Waves • Poynting Theorem and Poynting Vector • Electromagnetic Field Momentum • Angular Momentum • Problems
Chapter 7: Electrostatics of Dielectric Media • Macroscopic Aspects of Dielectric Polarization • Induced Dipoles • Electric Field at an Exterior Point • The Polarization Charge Densities and Pp and sp • Electric Field at an Interior Point • Gauss" Law for Charges in Dielectric • Electric Displacement Vector • Poisson"s Equation for Dielectrics • Boundary Conditions for and • Energy of the Electrostatic Field • Forces on Dielectrics • Stresses in a Dielectric • Stress on Surface of Dielectric • Microscopic Aspects of Dielectrics • The Local Field • Evaluation of the Depolarizing Field • Evaluation of Due To the Dipoles in the Sphere • Linear Dielectrics and the Clausius-Mossotti Equation • Polar Molecules and the Langevin Equation • The Debye Equation • Permanent Polarization: Ferroelectricity • Frequency-Dependent Linear Response • Kramers-Kronig Relations • Problems
Chapter 8: The Physics of Electric Conductivity • Electrical Conductivity of Solids • Energy Loss and Joule Heating • Equations of the Static Field and Flow • Insufficiency of the Classical Theory of Electrical Conductivity • Magnetic Field Effects • Frequency-Dependent Conductivity • Skin Effect • Electrical Conductivity of Gases and Liquids • Superconductivity • The Meissner Effect • Electromagnetic Properties of Superconductors • The London Equations • The London Equations and the Meissner Effect • Flux Quantization • Josephson Junctions • Problems
Chapter 9: Magnetic Properties of Matter • Magnetic Materials • Magnetization and Magnetization Current • Ampere"s Law in Magnetic Materials and the Auxiliary Field • Magnetic Susceptibility and Permeability • Boundary Conditions • Boundary-Value Problems • Magnetic Shielding • Cavities • Origin of Diamagnetism and Paramagnetism • Diamagnetism • Paramagnetism • Ferromagnetic Materials • Maxwell Equations in Matter • Problems
Chapter 10: Relativity and Electromagnetism • Elements of Special Theory of Relativity • Space and Time Before Einstein • The Search of Ether • The Michelson-Morley Experiment • The Postulates of the Special Theory of Relativity • Time Is Not Absolute • The Lorentz Transformations • Relativity of Simultaneity: Causality • Time Dilation: Relativity of Colocality • Length Contraction • Velocity Transformation • The Doppler Effect • Relativistic Space-Time and Minkowski Space • Four-Velocity and Four-Acceleration • Equivalence of Mass and Energy • Four-Energy and Four-Momentum Vectors • The Conservation Laws of Energy and Momentum • Generalization of Newton"s Equation of Motion • The Force Transformation • Particles of Zero Rest Mass • Relativistic Electrodynamics • Relativistic Nature of Magnetism • The Four-Current Density Jaµ • The Contravariant Four-Vector Aaµ • Covariance and Tensors • Electromagnetic Field Tensor Faµv • Covariant Form of Maxwell Equations • Transformations of and • Field of a Uniformly Moving Point Charge • Electromagnetic Field Invariants • Problems
Chapter 11: Electromagnetic Waves in Matter • The Wave Equation • Propagation of Plane Electromagnetic Waves in Nonconducting Media • Propagation of Plane Electromagnetic Waves in Conducting Media • The Skin Depth • The Poynting Vector • and Are Not in Phase • Propagation of Plane Electromagnetic Waves in a Uniform Plasma • Effective Dielectric Constant • Wave Propagation at Frequencies Higher Than ?p • Problems
Chapter 12: Electromagnetic Waves in Bounded Media • Introduction • Reflection and Refraction of Plane Waves at a Dielectric Boundary • Laws of Reflection and Snell"s Law (Law of Refraction) • The Fresnel Equations • Total (Internal) Reflection • Reflection from the Surface of a Conductor: Normal Incidence Problems
Chapter 13: Electromagnetic Radiation • Retarded Potentials • Radiation from an Oscillating Electric Dipole • The Field • The Field • Electric Dipole Radiation: Generalization • Magnetic Dipole Radiation • Radiation from a Linear Antenna • The Lienard-Weichert Potential: Fast-Moving Point Charges • Fields of an Accelerated Point Charge • The Fields of a Point Charge in Uniform Motion • Radiation from an Accelerated Charge • Radiation Damping • Scattering of Radiation • Problems
Chapter 14: Motion of Charged Particles in Electric and Magnetic Fields • Motion of a Charged Particle in Electromagnetic Field • Equations of Motion • Motion in Magnetic Field • Motion in a Constant Electric Field • Drift of Charged Particle in Crossed and Fields • Particle Drift in a Converging Magnetic Field • Magnetic Moment, a Constant of the Motion • Magnetic Lens with Axial Symmetry • The Cyclotron • Hydromagnetics • Magnetic Pressure • Alfven Waves • Magnetic Confinement • Pinch Effect • Kink and Sausage Instabilities • Problems • Appendix: Solutions of Laplace"s Equation in Spherical Polar Coordinates • Index ISBN - 9789380853529
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Pages : 544
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