Electrodynamics and relativistic Theory

Teacher

Dr. Nibedita Nayak

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Course Name : Electrodynamics and relativistic Theory

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

Course Outcomes

COS course outcome mapping cos with pos   (high-3, medium-2, low-1)
CO1 understand electrostatics and magnetostatics po1-3, po2-3, po9-1
CO2 understand electromagnetic induction po2-3, po9-1
CO3 understand and apply absorption and dispersion of em waves po4-1, po5-2, po9-1
CO4 Study different types of potentials and  radiation in em waves po1-3, po2-3, po9-1
CO5 understand the special theory of relativity and relativistic mechanics po1-3, po2-3, po3-2

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 Plan

Session 1

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

https://www.youtube.com/watch?v=RGeR1z2tQM0

Session 2

Session 3

Laplace and Poisson equations

https://www.youtube.com/watch?v=cJtHMwQ218g

Session 4

Electrostatic Boundary condition, method of images

https://www.youtube.com/watch?v=llgDfZ59Kvw

Session 5

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

http://- https://www.youtube.com/watch?v=4YEQ98NUWOY

Session 6

Magnetic Field, Magnetic flux, Boundary condition.

https://www.youtube.com/watch?v=BzGMNgtcKL4

Session 7

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

https://www.youtube.com/watch?v=BzGMNgtcKL4

Session 8

energy and momentum in EM Waves.

https://www.youtube.com/watch?v=f4A5cxC0Cio

Session 9

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

https://www.youtube.com/watch?v=4lb5jCT4XD8

Session 10

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

https://www.youtube.com/watch?v=Pq2xp0zOD8U

https://www.youtube.com/watch?v=6GDRqXCwbfk

Session 11

Poynting vector, poynting theorem

https://www.youtube.com/watch?v=G6QryRlKbR4

Session 12

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

https://www.youtube.com/watch?v=mN0zyefCKfY

Session 13

The frequency dependence of permittivity

https://www.youtube.com/watch?v=gcnSkRLbcUY

Session 14

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

https://www.youtube.com/watch?v=HW3GQKWwiCs

Session 15

the coaxial transmission line

https://www.youtube.com/watch?v=oldnCFoxphc

Session 17

Gauge transformations, Coulomb Gauge and Lorentz Gauge

https://www.youtube.com/watch?v=xVZ-lIuIi7A

Session 18

Session 19

The fields of a moving point charge.

https://www.youtube.com/watch?v=w1dVAI0b-48

Session 20

Radiation: Electric dipole radiation, Magnetic dipole radiation

https://www.youtube.com/watch?v=yrKNd7IV9UE

Session 21

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

https://www.youtube.com/watch?v=gS2_1pezW_Y

https://www.youtube.com/watch?v=sNu2jsxBDeY

Session 22

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

https://www.youtube.com/watch?v=JygZofoFNfE&list=PLRuWd0sgheSZLMfA9yl_-cYEW_QyRlssD&index=3

Session 23

Session 25

Session 26

Relativistic Electrodynamics: Magnetism as a relativistic phenomenon

https://www.youtube.com/watch?v=Ii7rgIQawko&t=17s

Session 28

Session 29

Electrodynamics in tensor notation

https://www.youtube.com/watch?v=J7-vJrRxR40

Our Main Teachers

  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 […]