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Electromagnetic Theory Chapter One: Vector analysis 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 1.11 Vector representation Cartesian coordinates Cylindrical coordinates Spherical coordinates Differential length, area, and volume Line, surface, and volume integrals Del operator Gradient of a scalar Divergence of a vector and divergence theorem Curl of a vector and Stokes's theorem Laplacian of a scalar Chapter Two: Electrostatics 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 Static electric fields Coulomb's law Fundamental postulates of electrostatics in free space Drive of Coulomb's Law Electric field due to a system of discrete charge Electric field due to a continuous distribution of charge Electrostatic force Electric flux and Gauss's law Relation between flux density and electric field intensity The Electric potential Conductors and insulators Chapter Three: Electrostatic Boundary-Value Problems 3.1 3.2 3.3 3.4 Poisson's equation Laplace's equation Solution of Laplace's equation in Cartesian coordinates. Solution of Laplace's equation in cylindrical coordinates. Chapter Four: Electrostatic Field in Dielectric Media 4.1 4.2 Polarization External field of a dielectric medium 4.3 4.4 4.5 4.6 4.7 4.8 The electric field inside a dielectric Gauss's law in a dielectric. The electric displacement Electric susceptibility and dielectric constant Point charge in a dielectric fluid Boundary conditions on the field vectors Boundary-value problems involving dielectrics Chapter Five: Microscopic Theory of Dielectrics 5.1 5.2 5.3 5.4 5.5 Molecular field in it dielectric Induced dipoles. A simple model Polar molecules. The Langevin-Debye formula Permanent polarization. Ferroelectricity Point charge in a dielectric fluid Chapter Six: Electrostatic Energy 6.1 6.2 6.3 6.4 6.5 Potential energy of a group of point charges Electrostatic energy of a charge distribution Energy density of an electrostatic field Permanent polarization. Ferroelectricity Point charge in a dielectric fluid Chapter Seven: Electric Current 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 Nature of the current Current density. Equation of continuity Ohm's. Conductivity Resistance networks Electromotive force Steady currents in media without sources of emf Approach to electrostatic equilibrium Kirchhoff 's law's Chapter Eight: The Magnetic Field of Steady Current 8.1 8.2 8.3 8.4 8.5 8.6 The definition of magnetic induction Forces on current-carrying conductors The law of Biot and Savart Elementary applications of the Biot and Savart law Ampere's circuital law The magnetic vector potential 8.7 8.8 8.9 The magnetic field of a distant circuit The magnetic scalar potential The magnetic flux Chapter Nine: Electromagnetic Induction 9.1 9.2 9.3 9.4 Electromagnetic Induction Self-inductance Mutual inductance Inductances in series and in parallel Chapter Ten: Maxwell's Equations 10.1 Maxwell's Equations 10.2 The wave equation 10.3 Relation between E and H in a uniform plane wave 10.4 The wave equation for conducting medium 10.5 Uniform plane waves 10.6 Poynting vector and the flow of power Required Text 1. Introduction to Electrodynamics, David J. Griffiths, 3rd ed., Prentice Hall, 1999; PHI Learning Private Limited, 2009. 2. Foundations of Electromagnetic Theory, John R. Reitz, and Frederick. J. Milford, 1st ed., Addison Wesley, 1960. 3. Elements of Electromagnetics, Matthew Sadiku, Jerry Sagliocca, and Oladega Soriyan, 3rd ed., Oxford University Press, 2000. 4. Engineering Electromagnetics, William H. Hayt, Jr., and John A. Buck, 6th ed., McGraw-Hill, 2001.