Classical Electrodynamics (Theory)

Paper Code: 
CPHY 811
Credits: 
04
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

Course Objectives:

This course will enable the students to –

  1. To evaluate fields and forces in Electrodynamics and Magneto dynamics using basic scientific method.
  2. To provide concepts of relativistic electrodynamics and its applications in branches of Physical Sciences.
  3. To make students able to apply knowledge acquired through this paper to various types of problems of electromagnetics.

Course Outcomes (COs):

 

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

PAPER CODE

Paper Title

CPHY 812

Classical Electrodynamics (Theory)

The students will be able to:

 

CO158: basic knowledge of charge, electric field, potential, potential energy, uniqueness thearem and its application.

 

CO159: undestand about the boundary value problems in electrostatics as method of images and define a systems of orthonormal functions: Fourier series, Fourier Integrals.

 

CO160: develop a knowledge and understanding of magneto statics, electromagnets, solenoid,toroid.

 

CO161: develop a firm basis to understand multipoles, dipole moment, polarization, boundary value problems with dielectrics.

 

CO162: develop a knowledge and understanding of electromagnetic fields, maxwell’s equations, conservations laws, scalar and vector potentials.

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, Power point presentation, Problem Solving

 

Learning activities for the students:

Self learning assignments, Effective questions, Seminar presentation, Solving numericals,Additional learning through online videos and MOOC course.

Class test, Semester end examinations, Quiz, Solving problems , Assignments, Presentations

 

 

CONTENTS

 

11.00
Unit I: 
I
Electrostatics: Electric field; Gauss Law; Differential form of Gauss’ law; Equation of electrostatics and the scalar potential; surface distribution of charges and dipoles and discontinuities in the electric field and potential; Poisson and Laplace equations; Uniqueness Theorem; Green's Reciprocity Theorem; Formal solutions of potential by Green's function; Electrostatic potential energy and energy density.
 
 
13.00
Unit II: 
II
Boundary Value Problems in Electrostatics: Methods of Images; A point charge near an infinite conducting plane; Point charge in the presence of a conducting sphere: Case (a) When the conducting sphere is grounded; Case (b) When the conducting sphere is insulated; Case (c) When the conducting sphere is charged and insulated; Conducting sphere in a uniform electric field by method of images; Green function for the grounded conducting sphere in the field of a charge q; Green function for the sphere: General solution for the potential; Conducting sphere with hemispheres at different potentials; Orthogonal functions: Expansion of arbitrary functions in terms of a complete set of functions; Examples of systems of orthonormal functions: Fourier series, Fourier Integrals. 
 
12.00
Unit III: 
III
Multipoles, Electrostatics of Macroscopic Media, Dielectrics: Spherical Harmonics; Multipole expansions; Monopole moment; Dipole moment; Quadruple moment; Multipole expansions in Cartesian coordinates; multipole expansion of the energy of a charge distribution in an external field; Elementary treatment of electrostatics with permeable media; Boundary value problems with dielectrics; Molecular polarizability and electric susceptibility; A molecular model of the polarizability; Models for molecular polarizability: Displacement polarization, Orientation Polarization; Electrostatic energy in dielectric media.
12.00
Unit IV: 
IV
Magnetostatics: Introduction and definition; Biot-Savart Law; the differential equation of Magnetostatics and Ampere's law; Vector potential and magnetic induction for a circular current loop; magnetic fields of a localized current distribution, magnetic moment; force and torque on and energy of a localized current distribution in an external magnetic induction; macroscopic equations, boundary conditions on B and H; methods of solving Boundary value Problems in Magnetostatics; uniformly magnetized sphere; magnetized sphere in an external field, permanent magnets; magnetic shielding, spherical shell of permeable material in a uniform field.
 
 
12.00
Unit V: 
V
Maxwell's equations ,conservation laws: energy in a magnetic field, vector and scalar potentials, Gauge transformations, Lorentz gauge, Coulomb gauge, Green function for the wave equation, derivation of the equations of macroscopic electromagnetism, Poynting's theorem and conservation of energy and momentum for a system of charged particles and EM fields, conservation laws for macroscopic media, electromagnetic field tensor, transformation of four potentials and four currents, tensor description of Maxwell's equations
Essential Readings: 
• “Classical Electrodynamics”, J.D. Jackson.
• “Classical electrodynamics and magnetism “,Panofsky & Phillip.
• “Introduction to Electrodynamics “,Griffith.
• “Classical Theory of  Fields” ,Landau & Lifshitz.
• “ Electrodynamics of continuous media “Landau & Lifshitz. 
• “Classical Electrodynamics”, Walter Grenier.
 
Academic Year: 
2023-2024
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