Fundamental of Electromagnetics

# Fundamental of Electromagnetics

This book entitled "Fundamentals of Electromagnetics" presents the basic concepts of electromagnetic field. One of the main objectives of this book is to provide the students a clear and logical presentation of basic concepts and principles of electromagnetic fields. The various concepts of the subject are explained through simple reader friendly language. Large numbers of problems with their step by step solutions are provided to ease the understanding of difficult topics. The classroom experience and the difficulties of students while teaching this subject have been taken into account.

1. Vector Analysis

1.1 Scalars and Vectors

1.2 Vector Algebra

1.3 Unit Vector

1.4 Component of Vector

1.5 The Cartesian Co-ordinate System

1.6 Application of Unit Vectors

1.7 Circular Cylindrical Co-ordinate System

1.8 Spherical Co-ordinate System

2. Coulomb's Law and Electric Field Intensity

2.1 Coulomb's Law

2.2 Electric Field Intensity

2.3 Electric Field due to Continuous Charge Distribution

2.4 Electric Field Intensity due to Uniform Ring of Charge at a Point on its Axis

3. Electric Flux Density, Gauss's Law and Divergence

3.2 Gauss's Law

3.3 Application of Gauss's Law due to Symmetrical Charge Distribution

3.4 Application of Gauss's Law to Differential Volume Element

3.5 The Vector Operator

3.6 Divergence Theorem

4. Energy and Potential

4.1 Electric Potential

4.2 Equipotential Surface

4.3 Conservative Property of Elctrostatic Field

4.5 Energy Density in Electrostatic Field

5. Conductors and Dielectric

5.1 Current and Current Density

5.2 Polarisation in Dielectric

5.3 Law of Conservation of Charges

5.4 Continuity Equation

5.5 Conduction Current Density

5.6 Conductor Properties and Boundary Conditions

6. Poisson's and Laplace Equation

6.1 Poisson's and Laplace Equation

6.2 Uniqueness Theorem

6.3 Examples of the Solution of Laplace's Equation

7.1 Biot-savart Law

7.2 H Due to Infinitely Long Current Filament

7.3 H Due to Finite Current Filament

7.4 Ampere's Circuital Law

7.5 Curl

7.6 Stroke's Theorem

8. Maxwell's Equations for Time Varying Field

8.1 Faraday's Law of Electromagnetic Induction

8.2 Maxwell's Equation Derived from Faraday's Law of Electromagnetic Induction 256

8.3 Convection Current Density

8.4 Maxwell's Equation for Time Varying Field Derived from Ampere's Law

8.5 Maxwell's Equation for Time Varying Field Derived from Gauss's Law

(Electric Field)

8.6 Maxwell's Equation for Time Varying Field Derived from Gauss's Law

for Magnetism

8.7 Time Harmonic Field

9. Electromagnetic Wave Propagation

9.1 Properties of Electromagnetic Wave

9.3 Vector Helmholtz Equation (Wave Equation for Free Space/Perfect Dielectric in Phasor form)

9.4 Transverse Nature of Uniform Plane Wave

9.5 Relation Between E and H of Uniform Plane Wave

9.6 Wave Equation for Lossy Dielectric/Conducting Media

9.7 Wave Equation for Lossy Dielectric/Conducting Media in Phasor form

9.8 Intrinsic Impedance

9.9 Conductor and Dielectric

9.11 Wave Polarisation

10. Waves at Boundary Between Two Media

10.1 Wave Incident Normally on Boundary Between Perfect Dielectrics

10.2 Wave Incident Obliquely on Boundary Between Perfect Dielectric

10.3 Use of Direction Cosines

10.4 Wave Incident Normally on Perfect Conductor

10.5 Wave Incident Obliquely on Perfect Conductor and Polarised Perpendicular to the Plane of Incidence