Course

Unit 1

Review of Electrostatics
Learning Objectives
Recognize the concept of electric potential and solve associated problems.
Understand boundary value problems, Laplace’s equations in 1D, 2D and 3D along with uniqueness theorems.

Electric Potential, boundary conditions, Poisson’s and Laplace’s equations, La-place equation in one, two and three dimensions, Boundary conditions and Uniqueness theorem, Conductors and second Uniqueness theorem.

Unit 2

Techniques of solving Laplace equation, Numerical methods:
Learning Objectives
Apply various techniques to solve Laplace’s equations.
Understand the idea behind multipole expansion.

Finite difference method, Relaxation method and other methods of finding the potentials: Method of images, Separation of variables, Spherical co-ordinates, Multipole expansion, Electric field of a dipole.

Unit 3

Electric field in matter:
Learning Objectives
Understand Polarization, Bound charges and their physical interpretation.
Apply the idea of bound charges to calculate field of a polarized object.
Understand linear dielectrics.

Induced dipoles, Polarization, Field of polarized Object, bound charges, Physical interpretation of bound charges, Field inside a dielectric, Electric displacement, Linear dielectrics, Boundary value problem with linear dielectrics, Energy in dielectric systems, Force on dielectrics.

Unit 4

Learning Objectives
Recognize Maxwell’s equations for magnetostatics and the origin of magnetic vector potential.
Understand multipole expansion of magnetic vector potential.

Maxwell’s equations for Magnetostatics, Magnetic Vector potential, Aharanov-Bohm effect, Magnetostatic Boundary Conditions, Multipole expansion of magnetic vector potential.

Unit 5

Magnetic field in matter:
Learning Objectives
Understand Magnetization, bound currents and their physical interpretation.
Calculate magnetic field due to a magnetized object.
Explain the different types of magnetism.

Diamagnets, Paramagnets, Ferromagnets. Torques and Forces on Magnetic di-poles, Effect of magnetic field on atomic Orbits, Magnetization, Bound currents, Physical interpretation of bound currents, Magnetic field inside matter, Ampere’s law in magnetized materials, Magnetostatic Bounda-ry Conditions, Linear and Nonlinear media: Magnetic susceptibility and permeability. Ferromagnetism

Prerequisites: Basics of Electricity and Magnetism

Course Objectives
Having successfully completed this module, the student will be able to demonstrate knowledge and under-standing of: Electric Potential, Boundary conditions, Maxwell’s equations, various techniques of solving Laplace’s equation, Electric field and Magnetic fields in matter.

Course Outcomes
After completion this course students will be able to
CO1: Understand the concept of electric potential, Laplace’s equations and uniqueness theorems
CO2: Apply special techniques to calculate electric potential
CO3: Acquire knowledge related to bound charges and hence calculate electric field of polarized objects
CO4: Understand magnetic vector potential, magnetic field in matter and different types of magnetic materials

Skills: Through assignments and quizzes, the problem solving capability of students related to electrodynamics is enhanced.

CO-PO Mapping

Text Books
1. David J. Griffiths, Introduction to Electrodynamics, 4th Ed., Pearson Publication, 2015.

Reference
1. Richard P. Feynman, Robert P. Leighton and Matthew Sands, Feynman Lectures on Physics Vol.1, 1E, Narosa Publishing House, 2008.
2. J.D. Jackson, Classical Electrodynamics, 3rd Ed., Wiley, 2007.
3. David Halliday, Robert Resnick, and Jearl Walker, Fundamentals of physics, 10thEdition, John Wiley, 2017.
4. Lectures by Prof. Dipan Ghosh on “Electromagnetic Theory” https://nptel.ac.in/courses/115/101/115101005/

CO-PO Mapping

*CA – Can be Quizzes, Assignments, Projects, and Reports.

Justification for CO-PO Mapping