Classical Electrodynamics- I

Paper Code:

24PHY221

Credits:

Contact Hours:

60.00

Max. Marks:

100.00

Objective:

This course will enable the students:

To evaluate fields and forces in Electrodynamics and Magneto dynamics using basic scientific method.
To understand the concepts of electrodynamics and Maxwell equations and use them various situations.
To provide concepts of relativistic electrodynamics and its applications in branches of Physical Sciences.
To apply knowledge acquired through this paper to various types of problems of electromagnetic.

Course Outcomes:

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

24PHY 221

Classical Electrodynamics-I(Theory)

CO39: Comprehend basic knowledge of charge, electric field, potential, potential energy, uniqueness theorem and its application.

CO40: Analyze the boundary value problems in electrostatics.

CO41: Develop a firm basis to understanding of multiples, dipole moment, polarization, boundary value problems with dielectrics.

CO42: Describe the basic phenomenon of magneto statics and solve its boundary value problems .

CO43: Expand the knowledge of electromagnetic fields, Maxwell’s equations, conservations laws, scalar and vector potentials in different applications.

CO44: Contribute effectively in

course-specific interaction.

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 numerical, Additional learning through online videos.

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

11.00

Unit 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:

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:

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:

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:

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: