# ELECTROMAGNETIC FIELD THEORY (BEE306C)

## ELECTROMAGNETIC FIELD THEORY

### MODULE-1

Vector Analysis: Scalars and Vectors, Vector algebra, Cartesian co-ordinate system, Vector Components and unit vectors. Scalar field and Vector field. Dot product and Cross product, Gradient of a scalar field. Divergence and Curl of a vector field. Coordinate systems: cylindrical and spherical, relation between different coordinate systems. Expression for gradient, divergence and curl in rectangular, cylindrical and spherical coordinate systems. Numerical. Electrostatics: Coulomb’s law, Electric field intensity and its evaluation for (i) point charge (ii) line charge (iii) surface charge (iv) volume charge distributions. Electric flux density, Gauss law and its applications. Maxwell’s first equation (Electrostatics). Divergence theorem. Numerical.

### MODULE-2

Energy and Potential: Energy expended in moving a point charge in an electric field. The line integral. Definition of potential difference and potential. The potential field of a point charge and of a system of charges. Potential gradient. The dipole. Energy density in the electrostatic field. Numerical. Conductor and Dielectrics: Current and current density. Continuity of current. Metallic conductors, conductor’s properties and boundary conditions. Perfect dielectric materials, capacitance calculations. Parallel plate capacitor with two dielectrics with dielectric interface parallel to the conducting plates. Numerical. 14.08.2023 14.08.2023

### MODULE-3

Poisson’s and Laplace Equations: Derivations and problems, Uniqueness theorem. Steady magnetic fields: Biot - Savart’s law, Ampere’s circuital law. The Curl. Stokes theorem. Magnetic flux and flux density. Scalar and vector magnetic potentials. Numerical.

### MODULE-4

Magnetic forces: Force on a moving charge and differential current element. Force between differential current elements. Force and torque on a closed circuit. Numerical. Magnetic Materials and Magnetism: Nature of magnetic materials, magnetisation and permeability. Magnetic boundary conditions. Magnetic circuit, inductance and mutual inductance. Numerical.

### MODULE-5

Time Varying Fields and Maxwell’s Equations: Faraday’s law, Displacement current. Maxwell’s equations in point form and integral form. Numerical. Uniform plane wave: Electromagnetic radiation: near field—non-radiative and radiative, far field. Wave propagation in free space and in dielectrics. Pointing vector and power considerations. Propagation in good conductors, skin effect. Numerical.

#### Suggested Learning Resources: Books

1 Engineering Electromagnetics William H Hayt et al McGraw Hill 8thEdition, 2014
2 Principles of Electromagnetics Matthew N. O. Sadiku Oxford 6th Edition, 2015

#### Reference books:

1 Fundamentals of Engineering Electromagnetics David K. Cheng Pearson 2014
2 Electromagnetism -Theory (Volume -1) -Applications (Volume-2) Ashutosh Pramanik PHI Learning 2014
3 Electromagnetic Field Theory Fundamentals Bhag Guru et al Cambridge 2005
4 Electromagnetic Field Theory RohitKhurana Vikas Publishing 1st Edition,2014