Electromagnetic Theory

This course will introduce the students about fundamentals and applications of Electromagnetic Theory.

It provides thorough understanding of vector analysis, Electrostatics and Magnetostatisc, Electric and Mgnetic fields in materials, Maxwell’s equations and Wave motions in free space.

Syllabus of Electromagnetic Theory EC - 301

1.

Review of Vector Algebra and Vector Calculus                       08 hours

1.1

Scalars & Vectors, Dot & Cross Products

1.2

3-D Coordinate Systems – Cartesian, Cylindrical and Spherical and coordinate systems conversions

1.3

Review of Line, Divergence and Gradient-Meaning of Divergence theorem & Stoke’s theorem, Surface & Volume Integral-Definition of Curl

2.

Electrostatics                                                                             10 hours

2.1

Coulomb’s Law & Electric Field Intensity, Coulomb’s Law & Field due to Different Charge Distributions

2.2

Electric Flux Density ,Gauss’s Law and  Divergence, Concept of electric Flux Density, Gauss’s Law and its Applications, Differential Volume Element, Divergence, Maxwell’s First Equation and Divergence theorem for Electric Flux Density

2.3

Energy & Potential, Energy expanded in moving a point charge in electrical field, Line Integral, Definition of potential difference and potential, Potential field of a point charge and system of charges, Potential gradient, Dipole, Energy density in electrostatics field

3.

Magnetostatics                                                                          10 hours

3.1

Biot-Savart Law, Ampere’s Circuital Law

3.2

Application of Ampere’s Circuital law for an infinitely long coaxial transmission line, solenoid and toroid, Point form of Ampere’s Circuital law , Concept of flux density

3.3

Scalar and Vector magnetic potential, Stoke’s theorem for magnetic field

3.4

Point and integral forms of Mawxell’s equations for steady electric and magnetic fields

4.

Electric and Magnetic Fields in Materials                             12 hours

4.1

Conductors, Dielectrics and Capacitance, Definition of Currents and current density, Continuity equation, Conductors and their properties, Semiconductors, Dielectric materials, characteristics, Capacitance of a parallel plate capacitor, coaxial cable and spherical capacitors

4.2

Poisson’s and Laplace’s equations: Poisson’s and Laplace equation, Uniqueness theorem, Examples of solution of Laplace and Poisson’s equations

4.3

Magnetic forces: Force on a moving charge, force on a different current element, Force and torque on a close circuit, magnetization and permeability, Magnetic boundary conditions, Magnetic circuit, Self inductance and Mutual inductance

5.

Time Varying Fields and Maxwell’s Equations                       08 hours

5.1

Faraday’s law, Displacement current

5.2

Maxwell’s equations in point and integral forms for time varying fields

6.

Electromagnetic Waves: The Uniform Plane Waves              12 hours

6.1

Wave motion in free space, Perfect dielectric

6.2

Poynting vector, Power consideration, Propagation in good conductor

6.3

Phenomena of skin effect, Reflection of uniform plane waves,

6.4

Plane waves at normal incidence and at oblique incidence, Standing wave Ratio


Text Books

1. W H. Hayt & J A Buck, “Engineering Electromagnetics”, TATA McGraw-Hill, 7th Edition

Reference Books

1. Matthew Sadiku, “Elements of Eletromagnetics”, Oxford University Press,4th  Edition

2. David Griffiths, “Introduction to Electrodynamics”, Prentice Hall of India.

3. E. Jordan and K. Balmain “Electromagnetic Waves and Radiating Systems”, Prentice Hall of India

4. Nannapaneni Narayana Rao, “Elements of Engineering electromagnetics”, Prentice Hall of India, 6th Edition.