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
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 Plan
Session 1
Electrostatics: Gauss’s law, Application of Gauss’s law
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 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 12
Absorption and Dispersion: EM waves in conductors, Reflection at a conducting surface
Session 14
Guided Waves: Wave Guides, TE waves in a rectangular wave guide
Session 17
Gauge transformations, Coulomb Gauge and Lorentz Gauge
Session 18
Retarded Potentials, Lienard-Wiechert Potentials
Session 20
Radiation: Electric dipole radiation, Magnetic dipole radiation
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
https://www.youtube.com/watch?v=JygZofoFNfE&list=PLRuWd0sgheSZLMfA9yl_-cYEW_QyRlssD&index=3
Session 23
The Lorentz transformations, the structure of space-time.
https://www.youtube.com/watch?v=q-lVg6EPjYY&list=PLRuWd0sgheSZLMfA9yl_-cYEW_QyRlssD&index=5
Session 24
Relativistic Mechanics: proper time and proper velocity, relativistic energy and momentum
https://www.youtube.com/watch?v=GBIbC1RLrPA&list=PLRuWd0sgheSZLMfA9yl_-cYEW_QyRlssD&index=8
https://www.youtube.com/watch?v=VyXIPWZKc0g&list=PLRuWd0sgheSZLMfA9yl_-cYEW_QyRlssD&index=15
Session 25
Relativistic kinematics, relativistic dynamics.
Session 26
Relativistic Electrodynamics: Magnetism as a relativistic phenomenon
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 […]