The very purpose of the book is to bridge the gap between the text books of the higher secondary level and the advanced level books on Electrodynamics. The first edition of the book was widely accepted and appreciated by the students and teaching community. This second edition contains a new chapter on Magnetic Field Inside Matter. The solutions of all the exercises are provided in the book itself. The book focuses on basic concepts of electromagnetic theory with stress given on mathematical treatment. The language used in the book is quite lucid. A large number of questions are given at the end of every chapter for ascertaining the clarity of concepts.
Price of Hard copy: <strong>Rs. 200/-</strong>
<strong>Contents</strong>

CHAPTER 1 <strong>INTRODUCTION</strong>(Pages:1 - 30)
1.1 Vector Components
1.2 Product of Two Vectors
1.2.1 Dot Product or Scalar Product or Inner Product
1.2.2 Cross Product or Vector Product
1.3 Calculus
1.3.1 Differentiation
1.3.2 Integration
1.4 Scalar Function
1.5 Vector Function
1.6 Gradient
1.7 Divergence
1.8 Curl
1.9 Three Important Integrals
1.10 Three Fundamental Theorems in Vector Calculus
1.11 Some Important Vector Identities
Short Answer Questions
Solutions of the Exercises

CHAPTER 2 <strong>ELECTROSTATICS</strong>(Pages: 31 - 104)

2.1 Introduction
2.2 Coulomb's Law
2.3 Unit of Electric Charge
2.4 Electrostatic Field
2.5 Superposition Principle of Electric Field
2.6 Electric Field due to Continuous Charge Distributions
2.7 Electrostatic Field Lines and Flux
2.8 Properties of Electrostatic Field Vector
2.8.1 Gauss's Law (Divergence of Electrostatic Field)
2.8.2 Derivation of Coulomb's Law from Gauss's Law
2.8.3 Curl of Electrostatic Field
(Concept of Scalar Potential for Electrostatic Field)
2.9 Electrostatic Potential Energy from Potential
2.10 Energy of Charge Distribution
2.11 Electrostatic Energy in terms of E
2.12 Poisson's Equation and Laplace's Equation
2.13 Conductors
2.14 Applications of Gauss's law
2.14.1 Intensity of Electric Field due to Charges on a Spherical Conductor
2.14.2 Field due to a Uniform Distribution of Charges on a Non-Conducting Sphere
2.14.3 Field due to a Charged Conducting Cylinder
2.14.4 Field Just Outside a Charged Conductor
2.14.5 Field due to a Plane Sheet of Charge
2.14.6 Field due to an Infinite Straight-Line of Charge
2.15 Force on Surface Charge of a Conductor - Electrostatic Pressure
2.16 Capacitors
2.16.1 Electric Field between the Plates of a Parallel Plate Capacitor
2.16.2 Capacity of a Parallel Plate Capacitor
2.16.3 Energy of a Charged Capacitor
2.17 Laplace’s Equation
2.18 Electrostatic Images
Short Answer Questions
Solutions of the Exercises

CHAPTER 3 <strong>ELECTROSTATIC FIELD INSIDE MATTER</strong>(Pages:105 – 156)

3.1 Dipole
3.1.1 A Dipole in an Electrostatic Field
3.1.2 Potential due to a Dipole
3.1.3 Potential Energy of a Dipole
3.2 Polar and Non-Polar Molecules
3.3 Molecules Placed in an Electric Field
3.4 Polarisation
3.5 Linear Dielectrics
3.5.1 Polarisability
3.5.2 Susceptibility
3.6 Polarisation of a Simple Spherical Atom
3.7 Three Electric Vectors
3.8 Electric Field due to a Polarised Object
3.8.1 Physical Interpretation of Bound Charges
3.9 Gauss’s Law inside Dielectrics
3.10 Energy in Dielectric System
3.10.1 Change in Energy on Inserting a Dielectric
3.11 Force on Dielectrics
3.11.1 Change in Energy when the Dielectric is Removed
(CELL NOT CONNECTED)
3.11.2 Change in Energy when the Dielectric is Removed
(WITH CELL CONNECTED)
3.11.3 Fringing Field – The Reason for the Attractive Force
3.11.4 Calculation of the Attractive Force
3.11.5 Verification of the Expression for the Force
3.12 Energy in terms of E and D
3.13 Relation between Susceptibility and Polarisability
3.14 Electrostatic Boundary Conditions at a Dielectric Interface
Short Answer Questions
Solutions of Exercises

CHAPTER 4 (Part A) <strong>MAGNETOSTATICS</strong>(Page:157 – 204)

4.1 Introduction
4.2 Magnetic Flux Density or Magnetic Induction
4.3 Lorentz Force Law
4.4 Current
4.5 Continuity Equation
4.6 Force on a Current Carrying Conductor
4.7 Torque on a Current Loop and the Magnetic Moment
4.8 Cyclotron
4.9 Cycloid Motion
4.10 Hall Effect
4.11 MagneticEffect of Electric Current
4.11.1 Biot-Savart’s Law
4.11.2 Magnetic Induction due to a Straight Conductor
4.11.3 Field due to a Circular Loop
4.12 Force between Parallel Conducting Wires
4.13 Ampere’s Circuital Law (Curl of B)
4.14 Divergence of B
4.15 Applications of Ampere’s Law
4.16 Vector Potential
4.17 Comparison of Magnetostatics and Electrostatics
4.18 Comparison of Electric and Magnetic Dipolemoments
Short Answer Questions
Solutions of Exercises

CHAPTER 4 (Part B) <strong>MAGNETIC FIELD INSIDE MATTER</strong>(Pages:205 – 235)

4.19 Introduction
4.20 Force and Torque on a Magnetic Dipole (Current loop)
4.21 Magnetisation (Or Intensity of Magnetisation)
4.22 Ampere’s law inside Magnetised Materials
4.23 Quantitative Idea about the Cause of Magnetism in Materilas
4.24 Magnetic Hysteresis
4.25 Effect of Magnetic Field on Atomic Orbits
(Cause of Diamagnetism)
4.26 Magnetostatic Boundary Conditions
4.27 Filed due to a Magnetised Object
(Contribution from Bound Currents)
4.28 Auxiliary Field H
4.29 Magnetic Models
4.29.1 Magnetic Pole Model and the Hfield
4.29.2 Amperian Loop Model and the B-field
4.30 The Auxiliary Field H
Short Answer Questions
Solutions of Exercises

CHAPTER 5 <strong>ELECTRODYNAMICS</strong>(Pages:236-269)

5.1 Introduction
5.2 Faraday’s Law
5.3 Maxwell’s Equations
5.4 Relation between Current Density and Magnetisation
5.5 Maxwell’s Equations inside Matter
5.6 Boundary Conditions (Electric and Magnetic)
5.7 Potential Formulations of Electrodynamics
5.8 Gauge Transformations
5.9 Momentum and Potential in Electrodynamics
5.10 Inductance
5.11 The Neumann Formula
5.12 Energy in Magnetic Field
Short Answer Questions
Solutions of Exercises

CHAPTER 6 <strong>ELECTROMAGNETIC WAVES</strong>(Pages:270- 312)

6.1 Introduction
6.2 The Wave Equation
6.2.1 The Sinusoidal Waves
6.2.2. Certain Operations on Vector Wave Functions
6.3 Poynting Vector and Poynting Theorem
6.4 Relations between E and B of Electromagnetic Waves
6.5 Polarisation of Electromagnetic Wave
6.6 Energy of Electromagnetic Wave
6.7 Intensity of Electromagnetic Wave
6.8 Momentum of Electromagnetic Wave
6.9 Reflection and Transmission of Electromagnetic Waves at the Boundary of Two Non-Conducting Media
6.9.1 Reflection and Transmission at Normal Incidence
6.9.2 Reflection and Transmission at Oblique Incidence
6.10 Polarisation by Reflection
6.11 Plane Monochromatic Waves in Conducting Media
Short Answer Questions
Solutions of Exercises

<strong>APPENDIX</strong> (Pages:313-318)
Appendix – 1: Solid Angle
Appendix – 2: Orthogonal Co-ordinate System
Appendix – 3: Convective Derivative of a Vector