Digital Textbook

Electromagnetic Field Theory

Name: Electromagnetic Field Theory
Author: Prof. Mithun Mondal

From a single vector to Maxwell's equations and radiating antennas — a complete, chapter-by-chapter course in engineering electromagnetics

Prof. Mithun Mondal EEE / ECE Undergraduate Course Free & Open Access

7Parts

30Chapters

4Maxwell Equations

Welcome

One field theory, built one chapter at a time

This is a living, web-native edition of a classic course in Electromagnetic Field Theory. Each of the 30 chapters lives on its own page — readable on any device, searchable, and free to share. The journey starts with the vector toolkit every field rests on and ends with how energy leaves a wire and radiates into space as an electromagnetic wave.

The sequence follows the standard electrical and electronics engineering undergraduate syllabus, building from vector calculus through static fields, the unification of Maxwell's equations, propagating waves, guided transmission, and finally radiation. Pick any chapter below to begin, or follow the seven parts in order for a complete first course.

How to use this book. Each part groups chapters by theme — first the mathematics, then static fields, then the dynamic, wave-carrying world Maxwell revealed. Click a chapter card to open its dedicated page with concepts, equations, worked reasoning, and figures.

Part 1

Vector Analysis

Vectors · Coordinate Systems · Gradient · Divergence · Curl

01Vector Algebra 02Coordinate Systems and Transformation 03Vector Calculus

Part 2

Electrostatics

Coulomb · Gauss · Potential · Dielectrics · Capacitance · Laplace

04Electrostatic Fields 05Electric Flux Density and Gauss's Law 06Electric Potential and Energy 07Electric Fields in Material Space 08Capacitance and Electrostatic Energy 09Poisson's and Laplace's Equations 10Electrostatic Boundary-Value Problems

Part 3

Magnetostatics

Biot–Savart · Ampère · Vector Potential · Forces · Inductance

11Magnetostatic Fields 12Magnetic Flux Density and Vector Potential 13Magnetic Forces, Materials, and Devices 14Inductance and Magnetic Energy

Part 4

Maxwell's Equations

Faraday · Induction · Displacement Current · Time-Harmonic Fields

15Faraday's Law and Electromagnetic Induction 16Displacement Current and Maxwell's Equations 17Time-Harmonic Fields

Part 5

Electromagnetic Wave Propagation

Plane Waves · Lossy Media · Poynting · Polarization · Reflection

18Wave Equations and Plane Waves in Free Space 19Wave Propagation in Lossy and Conducting Media 20Poynting Vector and Power Flow 21Polarization of Plane Waves 22Reflection and Refraction at Boundaries

Part 6

Transmission Lines

Line Parameters · Reflection · SWR · Smith Chart · Transients

23Transmission Line Equations and Parameters 24Wave Propagation on Transmission Lines 25The Smith Chart and Impedance Matching 26Transients on Transmission Lines

Part 7

Waveguides & Antennas

TE/TM Modes · Resonators · Radiation · Antenna Arrays · Modern Topics

27Rectangular Waveguides 28Cavity Resonators and Circular Waveguides 29Antenna Fundamentals and Radiation 30Antenna Arrays and Modern Topics

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Start Here

Begin with Chapter 1 — Vector Algebra

Every quantity in electromagnetics is a field, and every field is built from vectors. The first chapter assembles the vector toolkit — addition, dot and cross products, and unit vectors — that the entire course depends on. Open Chapter 1 →