Electrodynamics-I (PHYS-303)

Brief Introduction

Introduction, Electrostatics in free space, Induced charges, Conductors, Capacitors, Boundary-value problems, Electric dipole, Multipole expansion, Electrostatics inside matter

Text Book

David J. Griffiths, Introduction to Electrodynamics, 4th Edition, Cambridge University Press, 2017

Pre-requisites

  • Electricity and Magnetism-I (PHYS-107)
  • Electricity and Magnetism-II (PHYS-201)

Learning Outcomes

On successful completion of this course, students will be able to:

  • Use their conceptual understanding of the electromanetic laws in order to qualitatively and quantitatively describe the behaviour of the solutions to the problems
  • Use their ability to manage the electromagnetic laws in simple situations
  • Use these concepts to set up a model and perform the necessary calculations; select appropriate methods and make appropriate approximations
  • Apply this knowledge in practical situations

Evaluation:

Sessional: 20%

  • Assignments 10%
  • Quiz 5%
  • Class Participation 5%

Midterm: 30%

Final Term: 50%

Week Plan:

Week No.

Contents

Date

Day/Time

Week No. 1

Introduction to the Course, Four known forces of nature, Ordinary derivatives, Slope, Small change in function for 1-D 2-D 3-D cases, The gradient: Mathematical/physical/geometrical interpretation

October 14-16, 2020

Wed-Fri/09:00

Week No. 2

The divergence: Mathematical/physical interpretation, The curl: Mathematical/physical interpretation, Second derivatives, Cartesian coordinate system: Differential displacement/area/volume/ranges

October 21-23, 2020

Wed-Fri/09:00

Week No. 3

Spherical coordinate system: Differential displacement/area/volume/ranges, Cylindrical coordinate system: Differential displacement/area/volume/ranges, Orthogonal coordinate system: Differential displacement/area/volume/gradient/divergence/curl/laplacian

October 28-30, 2020

Wed-Fri/09:00

Week No. 4

Gradient theorem & applications, Green’s theorem & applications, Stokes’ theorem & applications

November 04-06, 2020

Wed-Fri/09:00

Week No. 5

Electrostatics in free space, Coulomb’s law for a point charge/discrete charge distribution/continuous charge distributions, Electric field for a point charge/discrete charge distribution & applications

November 11-13, 2020

Wed-Fri/09:00

Week No. 6

Line/surface/volume charge distributions, Electric field for continuous charge distributions & application, Gauss’s law, Plane/cylindrical/spherical symmetries

November 18-20, 2020

Wed-Fri/09:00

Week No. 7

Gauss’s law for discrete/continuous symmetric charge distributions, Differential/Integral forms of Gauss’s law, Divergence of static electric field, Applications (spherical/cylindrical symmetries) of Gauss’s law

November 25-27, 2020

Wed-Fri/09:00

Week No. 8

Curl of static electric field for point charge/discrete charge distribution/continuous charge distributions, Electric potential & applications, Comments on potential

December 02-04, 2020

Wed-Fri/09:00

Week No. 9

Electric potential due to a point charge/discrete charge distribution/continuous charge distributions & applications, Laplace’s/Poisson’s Equations, Boundary conditions on potential and normal/tangential components of electric field

December 09-11, 2020

Wed-Fri/09:00

Week No. 10

Work/Energy in electrostatics, Work done to move a charge, Electrostatic energy for discrete charge distribution & applications, Electrostatic energy for continuous charge distributions & applications

December 16-18, 2020

Wed-Fri/09:00

Week No. 11

Electrostatic energy and superposition principle & applications, Conductors and their properties, Induced charges & application, Capacitors & concept of stored energy

December 23-25, 2020

Wed-Fri/09:00

Week No. 12

Parallel-plate/spherical/cylindrical capacitors, Solutions of Laplace’s equation in cartesian coordinate system (1-D/2-D/3-D) & applications 

December 30-31, 2020

January 01, 2021

Wed-Fri/09:00

Week No. 13

Solutions of Laplace’s equation in cylindrical coordinate system (1-D/2-D/3-D) & applications, Solutions of Laplace’s equation in spherical coordinate system (1-D/2-D/3-D) & applications

January 06-08, 2021

Wed-Fri/09:00

Week No. 14

Method of Images and applications for various symmetries

January 13-15, 2021

Wed-Fri/09:00

Week No. 15

Pure/physical electric dipole, Electric field/potential of a pure/point dipole, Electric monopole/dipole/quadrupole/octopole, Multipole expansion for discrete/continuous charge distributions, Electric dipole moment for discrete/continuous charge distributions

January 20-22, 2021

Wed-Fri/09:00

Week No. 16

Multipole expansion for a point charge at some distance from origin, Origin of coordinates in multipole expansion & applications

January 27-29, 2021

Wed-Fri/09:00

 

 

 

Course Material