Syllabus For Electromagnetic Theorem

Syllabus for Electromagnetic Theorem Fourth Stage Physics Department College of Science Chapter One: Vector Analysis and Coordinate Systems 1-1 Introduction 1-2 Scalar and Vectors 1-3 Unit Vector 1-4 Equality of Two Vectors 1-5 Vector Addition and Subtraction 1-6 Position and Distance Vector 1-7 Vector Multiplications 1-7-1 Simple Product 1-7-2 Scalar or dot Product 1-7-3 Vector or Cross Product 1-8 Scalar and Vector Triple Product 1-8-1 Scalar Triple Product 1-8-2 Vector Triple Product 1-9 Del ∇ Operator 1-9-1 Gradiant Operator 1-9-2 Divergence Operator and Divergence Theorem 1-9-3 Curl Operator and Stokes Theorem 1-10 Laplacian of a Vector 1-11 Integral Calculus 1-11-1 Line, Surface, and Volume Integrals 1-11-2 The Fundamental Theorem for Gradients 1-11-3 The Fundamental Theorem for Divergences 1-11-2 The Fundamental Theorem for Curls 1-12 Curvilinear Coordinates Systems 1-12-1 Cylindrical Coordinate 1-12-2 Spherical Coordinate 1-13 Transformation between Coordinate systems 1-13-1 Cartesian to Cylindrical Transformation 1-13-2 Cartesian to Spherical Transformation 1-13-3 Cylindrical to Spherical Transformation

Chapter Two: Electrostatic Fields 2-1 The Electric Field 2-2 Coulomb’s Law 2-3 Continuous Charge Distributions 2-4 Electric field Intensity of a Uniform Charge Distributions 2-4-1 Uniform Line Charge Distribution 2-4-2 Uniform Surface Charge Distribution 2-4-3 Uniform Volume Charge Distribution 2-5 Gauss's Law and Applications 2-5-1 Application of gauss's Law on Point Charge 2-5-2 Application of gauss's Law on Line Charge Distribution 2-5-3 Application of gauss's Law on Surface Charge Distribution 2-5-4 Application of gauss's Law to Uniformly Charged Sphere 2-5-5 Application of gauss's Law to Coaxial Cable 2-6 Electric Potential 2-6-1 Poisson’s Equation and Laplace’s Equation 2-6-1 The Potential of a Localized Charge Distribution 2-7 Work and Energy in Electrostatics 2-7-1 The Work Done to Move a Charge 2-7-2 The Energy of a Point Charge Distribution 2-7-3 The Energy of a Continuous Charge Distribution 2-8 Capacitors Chapter Three: Special Techniques 3-1 Laplace’s Equation 3-1-1 Laplace’s Equation in One Dimension 3-1-1 Laplace’s Equation in Two Dimensions 3-1-1 Laplace’s Equation in Three Dimensions 3-1-2 Boundary Conditions and Uniqueness Theorem 3-2 The Method of Images 3-3 Separation of Variables 3-3-1 Cartesian Coordinates 3-3-2 Spherical Coordinates 3-4 The Monopole and Dipole Terms 3-5 The Electric Field of a Dipole Chapter Four: Electrostatic Field in Matter

4-1 Polarization 4-1-1 Dielectrics 4-1-2 Induced Dipoles 4-1-3 Alignment of Polar Molecules 4-2 The Field of a Polarized Object 4-2-1 Bound Charges 4-2-2 The Field Inside a Dielectric 4-3 The Electric Displacement 4-4 Gauss’s Law in The Presence of Dielectrics 4-5 Linear Dielectrics 4-5-1 Susceptibility, Permittivity, Dielectric Constant 4-5-2 Boundary Value Problems with Linear Dielectrics 4-5-3 Energy in Dielectric Systems 4-5-4 Forces on Dielectrics Chapter Five: Magnetostatics Field 5-1 The Lorentz Force Law 5-2 The Biot-Savart Law 5-3 The Magnetic Field of a Steady Current 5-4 Straight-Line Currents 5-5 The Divergence and Curl of B 5-6 Application of Ampere's Law 5-6-1 Infinite Line Current 5-6-2 Infinite Sheet Current 5-6-3 Infinitely Long Coaxial Transmission Line 5-6-4 Infinite Solenoid Coil 5-6-5 Toroidal Coil 5-7 Comparison of Magnetics and Electrostatics 5-8 Magnetic Vector Potential Chapter Six: Magnetic Fields in Matter 7-1 Magnetization 7-2 Diamagnets, Paramagnets, Ferromagnets 7-3 Torques and Forces on Magnetic Dipoles 7-4 Effect of a Magnetic Field on Atomic Orbits 7-5 The Field of a Magnetized Objet 7-5-1 Bound Currents 7-5-2 The Magnetic Field Inside Matter 7-6 The Auxiliary Field H

7-7 Ampere’s Law in Magnetized Materials 7-8 Linear and Nonlinear Media 7-9 Magnetic Susceptibility and Permeability Chapter Seven: Electrodynamics Fields 7-1 Electromotive Force emf 7-2 Ohm’s Law 7-3 Transformer and Motional electromotive forces emf 7-3-1 Stationary Loop in Time-Varying Magnetic Field 7-3-2 Moving Loop in Static Magnetic Field 7-3-3 Moving Loop in Time Varying Magnetic Field 7-4 Electromagnetic Induction 7-4-1 Faraday’s Law 7-4-2 The Induced Electric Field 7-4-3 Inductance 7-4-4 Energy in Magnetic Fields 7-5 Electrodynamics before Maxwell 7-6 How Maxwell Fixed Ampere’s Law 7-7 Displacement Current 7-8 Maxwell’s Equations in Final Forms 7-9 Maxwell’s Equations in Matter 7-10 Propagation of Electromagnetic Waves in Different Medium 7-10-1 In Free Space 7-10-2 In Lossy Medium 7-10-3 In Perfect Dielectric 7-10-4 In Good Conductor 7-11 Power and the Poynting Vector Reffrences [1] David J. Griffiths, and Reed College, “Introduction to Electrodynamics”, Prentice-Hall, Inc. (1999). [2] Herbert P. Neff, “Introductory Electromagnetics”, John Wiley & Sons, Inc., (1991). [3] Matthew N. O. Sadiku, “Elements of Electromagnetics”, Fourth Edition, Oxford University Press, Inc., (2007). [4] Joseph A. Edminister, “Schaum’s outline of Theory and Problems of Electromagnetis”, Second Edition, The McGraw-Hill Companies, Inc. (1993).