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.