Electromagnetic Fields with MATLAB and Scilab Programs

Table of Content

Chapter 1 Static Electric Fields

1.1 Different Coordinate Systems

1.2 Coulomb’s Law

1.3 Electric Field Intensity (E)

1.4 Electric Field Due to Discrete Charges

1.5 Principle of Superposition of Fields

1.6 Electric Field Intensity Due to Continuous Volume Charge Distribution

1.7 Electric Field Due to Charges Distributed Uniformly on an Infinite Line

1.8 Electric Field Due to Finite Line Charge

1.9 Electric Field Intensity Due to Infinite Sheet of Charge

1.10 Electric Field on the Axis of a Uniformly Charged Circular Disc

1.11 Potential or Potential Difference

1.12 Relationship between Potential (V ) and Electric Field Intensity (E)

1.13 Gradient V or ΔV

1.14 Potential Due to Electric Dipole

1.15 Potential Due to Infinite Line Charge

1.16 Electric  Flux Density (D) coulombs/meter2

1.17 Gauss’s Law for Electric Field

1.18 Applications of Gauss’s Law

1.19 Divergence

1.20 Divergence Theorem

1.21 Ampere’s Circuital Law

1.22 Curl

1.23 Stoke’s Theorem

1.24 Solenoidal and Irrotational

Short Questions with Answers

Big Questions

Solved Problems

MATLAB Programs

Chapter 2 Steady Magnetic Field

2.1 Biot−Savart Law

2.2 Magnetic Field Intensity Due to Infinite Wire Carrying Current

2.3 Magnetic Field Intensity Due to Finite Wire

2.4 Magnetic Flux Density B (Wb/m2)or (tesla)

2.5 Magnetic Flux Φ (weber)

2.6 Gauss’s Law for Magnetic Field

2.7 Magnetic Field Intensity on the Axis of a Circular Loop

2.8 Magnetic Field Intensity at the Center of a Rectangular Current Carrying Loop

2.9 Lorentz Force Equation for Moving Charge

2.10 Force on a Wire Carrying a Current I Placed in the Magnetic Field

2.11 Torque

2.12 Torque on a Loop Carrying Current I

2.13 Magnetic Moment or Magnetic Dipole Moment

2.14 Magnetic Vector Potential (A):Wb/morTesla.meter

2.15 Ampere’s Circuital Law

2.16 Applications of Ampere’s Circuital Law

Short Questions with Answers

Big Questions

Solved Problems

MATLAB Programs

Chapter 3 Electric and Magnetic Field in Materials  

3.1 Poisson’s and Laplace’s Equation

3.2 Electric Polarization

3.3 Nature of Dielectric Materials

3.4 Definition of Capacitance

3.5 Capacitance of Various Geometrics using Laplace Equation

3.6 Electrostatic Energy and Energy Density or Energy Density in an

Electrostatic Field

3.7 Electric Current ( I )

3.8 Current Density ( J )

3.9 Point form of Ohm’s Law

3.10 Ohm’s Law

3.11 Resistance (R)

3.12 Continuity Equation for Current

3.13 Boundary Conditions for Electric Fields

3.14 Definition of Inductance

3.15 Inductance of Solenoids

3.16 Inductance of Toroid

3.17 Inductance of the Coaxial Cable

3.18 Definition of Mutual Inductance

3.19 Energy and Energy Density in Magnetic Fields

3.20 Nature of Magnetic Materials

3.21 Magnetization and Permeability

3.22 Magnetic Boundary Conditions

Short Questions with Answers

Big Questions

Solved Problems

MATLAB Programs

Chapter 4 Time Varying Electric and Magnetic Fields

4.1 Faraday’s Law of Electromagnetic Induction

4.2 Maxwell’s Equation from Faraday’s Law

4.3 Derivation of Equation for Motional EMF (Moving Conductor in a

Magnetic Field)

4.4 Displacement Current (ID)

4.5 Maxwell’s Equation from Ampere’s Circuital Law

4.6 Maxwell’s Four Equation in Integral form and Differential form for Time

Varying Field

4.7 Maxwell’s Four Equation for Non-Time Varying Field

4.8 Maxwell’s Four Equation for Free Space

4.9 Poynting Vector and Power Flow

4.10 Power Flow in a Coaxial Cable

4.11 Instantaneous, Average and Complex Poynting Vector

Short Questions with Answers

Big Questions

Solved Problems

MATLAB Programs

Chapter 5 Electromagnetic Waves

5.1 Derivation of Wave Equation

5.2 Uniform Plane Waves

5.3 Wave Equation for a Conducting Medium

5.4 Plane Waves in Lossy Dielectrics – Wave Propagation in Good Dielectrics

5.5 Wave Propagation in Good Conductors

5.6 Depth of Penetration δ or Skin Depth or Skin Effect

5.7 Max well’s Equation in Phasor Form

5.8 Wave Equation in Phasor Form

5.9 Reflection by a Perfect Conductor – Normal Incidence

5.10 Reflection by a Perfect Dielectric -Normal Incidence

5.11 Reflection by a Perfect Insulator -Oblique Incidence

5.12 Polarization – Linear, Circular and Elliptical Polarization

Short Questions with Answers

Big Questions

Solved Problems

MATLAB Programs

Appendix A – Important Formulas

Appendix B – Anna University Sample Question Papers

Appendix C – Scilab Software Programs

Index

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