Electromagnetics

Unit-1 (15 Lectures, Marks 20)

Vector Analysis: Scalars and Vectors, Vector Algebra, Rectangular (Cartesian) Coordinate System, Vector
Components and Unit Vector, Vector Field, Products, Cylindrical Coordinates, Spherical Coordinates,
Differential Length, Area and Volume, Line Surface and Volume integrals, Del Operator, Gradient of a
Scalar, Divergence and Curl of a Vector, the Laplacian.
Electrostatic Fields: Coulomb’s Law and Electric Field, Field due to Discrete and Continuous Charge
Distributions, Electric Flux Density, Gauss’s Law and Applications, Divergence Theorem and Maxwell’s
First Equation. Electric Potential, Potential due to a Charge and Charge distribution, Electric dipole. Electric
Fields in Conductors, Current and Current Density, Continuity of Current, Metallic Conductor Properties and
Boundary Conditions, Method of Images. Dielectric materials, Polarization, Dielectric Constant, Isotropic and
Anisotropic dielectrics, Boundary conditions, Capacitance and Capacitors. Electrostatic Energy and Forces.

Unit- 2 (15 Lectures, Marks 20)

Poisson’s Equation and Laplace’s Equation: Derivation of Poisson’s and Laplace’s equation, Uniqueness
Theorem, Examples of Solution of Laplace’s Equation: Cartesian, Cylindrical and Spherical Coordinates.
Magnetostatics: Biot Savert’s law and Applications, Magnetic dipole, Ampere’s Circuital Law, Curl and
Stoke’s Theorem, Maxwell’s Equation, Magnetic Flux and Magnetic Flux Density, Scalar and Vector
Magnetic Potentials. Magnetization in Materials and Permeability, Anisotropic materials, Magnetic Boundary
Conditions, Inductors and Inductances, Magnetic Energy, Magnetic Circuits. Inductances and Inductors,
Magnetic Energy, Forces and Torques.

Unit-3 (15 Lectures, Marks 20)

Time-Varying Fields and Maxwell’s Equations: Faraday’s Law of Electromagnetic Induction, Stationary
Circuit in Time-Varying Magnetic Field, Transformer and Motional EMF, Displacement Current, Maxwell’s
Equations in differential and integral form and Constitutive Relations. Potential Functions, Lorentz gauge and
the Wave Equation for Potentials, Concept of Retarded Potentials. Electromagnetic Boundary Conditions.
Time-Harmonic Electromagnetic Fields and use of Phasors

Unit-4 (15 Lectures, Marks 20)

Electromagnetic Wave Propagation: Time- Harmonic Electromagnetic Fields and use of Phasors, the
Electromagnetic Spectrum, Wave Equation in a source free isotropic homogeneous media, Uniform Plane
Waves in Lossless and Lossy unbounded homogeneous media, Wave Polarization, Phase and Group velocity,
Flow of Electromagnetic Power and Poynting Vector. Uniform Plane wave incident on a Plane conductor
boundary, concept of reflection and standing wave.
Guided Electromagnetic Wave Propagation: Waves along Uniform Guiding Structures, TEM, TE and TM
waves, Electromagnetic Wave Propagation in Parallel Plate and Rectangular Metallic Waveguides.

Suggested Books:

1. Murray. R. Spiegel, Vector Analysis, Schaum series, Tata McGraw Hill (2006)
2. M. N. O. Sadiku, Elements of Electromagnetics, Oxford University Press (2001)
3. W. H. Hayt and J. A. Buck, Engineering Electromagnetics, Tata McGraw Hill (2006)
4. D. C. Cheng, Field and Wave Electromagnetics, Pearson Education (2001)
5. J. A. Edminster, Electromagnetics, Schaum Series, Tata McGraw Hill (2006)
6. N. Narayan Rao, Elements of Engineering Electromagnetics, Pearson Education (2006)
7. Introduction to Electrodynamics, D.J. Griffiths, Pearson Education (2012)
8. Electromagnetic Wave and Radiating System, Jordan and Balmain, Prentice Hall (1979)

Electromagnetics Lab (using Scilab/ any other similar freeware)
60 Lectures, Marks 40

1. Understanding and Plotting Vectors.
2. Transformation of vectors into various coordinate systems.
3. 2D and 3D Graphical plotting with change of view and rotation.
4. Representation of the Gradient of a scalar field, Divergence and Curl of Vector Fields.
5. Plots of Electric field and Electric Potential due to charge distributions.
6. Plots of Magnetic Flux Density due to current carrying wire.
7. Programs and Contour Plots to illustrate Method of Images
8. Solutions of Poisson and Laplace Equations – contour plots of charge and potential distributions
9. Introduction to Computational Electromagnetics: Simple Boundary Value Problems by Finite
Difference/Finite Element Methods.