# Electrodynamics and relativistic Theory

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# Code(Credit) : CUNT2463(3-0-1)

## Course Objectives

• To learn the basic knowledge about the electrostatic and magneto static nature of the charge with some laws.
• To learn the propagation of electromagnetic waves in various medium.
• To learn about the absorption and dispersion phenomena in electromagnetic waves.
• To understand the idea about relativistic electrodynamics

## Learning Outcomes

• Understand the absorption and dispersion behaviour of electromagnetic waves.
• Know the special theory of relativity and relativistic mechanics.
• Solve problems using their knowledge and skills in applied physics.

## Course Syllabus

Course outline
Module-I
Electrostatics: Gauss’s law and its applications, Electric field, Electric flux, Laplace and Poisson equations, Electrostatic Boundary condition, method of images.
Module-II
Magnetostatics: Biot-Savart law, Ampere's theorem. Magnetic Field, Magnetic flux, Boundary condition.

Module-III
Electromagnetic induction:

EM Waves in vacuum: Maxwell’s equations, the electromagnetic (EM) wave equation andits  , energy and momentum in EM Waves.
EM Waves in matter: Propagation in linear non-conducting media, Reflection and Transmission at normal incidence, Reflection and Transmission at oblique incidence, Reflection and Transmission at a conducting surface, Poynting vector, poynting theorem.
Module-IV
Absorption and Dispersion: EM waves in conductors, Reflection at a conducting surface, The frequency dependence of permittivity.
Guided Waves: Wave Guides, TE waves in a rectangular wave guide, the coaxial transmission line.
Module-V
Potentials: Scalar and Vector potentials, Gauge transformations, Coulomb Gauge and Lorentz Gauge, Retarded Potentials, Lienard-Wiechert Potentials, The fields of a moving point charge.
Radiation: Electric dipole radiation, Magnetic dipole radiation, Radiation from an arbitrary source, Power radiated by a point charge, radiation reaction.
Module-VI
The special theory of relativity: Einstein’s postulates, the geometry of relativity, the Lorentz transformations, the structure of space-time.
Relativistic Mechanics: proper time and proper velocity, relativistic energy and momentum, relativistic kinematics, relativistic dynamics.
Module-VII
Relativistic Electrodynamics: Magnetism as a relativistic phenomenon, how the fields transform, the field tensor, Electrodynamics in tensor notation, the 4-vector potential.

Text Books

1.Introduction to Electrodynamics by David J. Griffiths
2. Electricity & Magnetisme – B.Ghosh.
Reference book:
Electromagnetic Theory and Elecrtodynamics by Satya Prakash

## Session 1

Electrostatics: Gauss’s law, Application of Gauss’s law

## Session 3

Laplace and Poisson equations

## Session 4

Electrostatic Boundary condition, method of images

## Session 5

Magnetostatics: Biot-Savart law, Ampere's theorem.

## Session 6

Magnetic Field, Magnetic flux, Boundary condition.

## Session 7

EM Waves in vacuum: Maxwell’s equations, the electromagnetic (EM) wave equation and its solution

## Session 8

energy and momentum in EM Waves.

## Session 9

EM Waves in matter: Propagation in linear non-conducting media, Reflection and Transmission at normal incidence

## Session 10

Reflection and Transmission at oblique incidence, Reflection and Transmission at a conducting surface

## Session 11

Poynting vector, poynting theorem

## Session 12

Absorption and Dispersion: EM waves in conductors, Reflection at a conducting surface

## Session 13

The frequency dependence of permittivity

## Session 14

Guided Waves: Wave Guides, TE waves in a rectangular wave guide

## Session 15

the coaxial transmission line

## Session 17

Gauge transformations, Coulomb Gauge and Lorentz Gauge

## Session 19

The fields of a moving point charge.

## Session 21

Radiation from an arbitrary source, Power radiated by a point charge, radiation reaction

## Session 22

The special theory of relativity: Einstein’s postulates, the geometry of relativity

## Session 26

Relativistic Electrodynamics: Magnetism as a relativistic phenomenon

## Session 29

Electrodynamics in tensor notation

## Session 30

### Dr. Nibedita Nayak

##### Assistant Professor
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Dr. Nibedita Nayak is working as an Assistant Professor in the Department of Physics, School of Applied Sciences, Bhubaneswar Campus of Centurion University of Technology and Management, Odisha. She completed her Ph.D from Berhampur University in 2018. She is working on computational tools and new material development. She has more than six years of […]