Unit 1

Vector analysis

Learning Objectives

1. Apply vector algebra, vector calculus both differentiation and integration to solve problems.
2. Discuss orthogonal curvilinear co-ordinates such as spherical polar and cylindrical coordinates and their use in solving problems related to electrostatics and magnetostatics.
3. Outline the importance of Dirac-Delta function.

Review of vectors, Dot products, Cross products, and Triple products. Differential calculus: Gradient, Divergence, Curl, Second derivatives, Integral calculus: Fundamental theorem of calculus, Fundamental theorem of gradient, Fundamental theorem of divergence, Fundamental theorem of curls, Curvilinear coordinates: Spherical coordinates, Cylindrical coordinates. Dirac delta function.

Unit 2

Electrostatics
Learning Objectives

1. Recognize electric field concept, coulomb’s law and superposition principle in electrostatics.
2. Calculate electric field due to discrete and continuous charge distributions.
3. Apply Gauss’s law to solve problems in electrostatics.

Coulomb’s law. Superposition principle. Electric field – discrete and continuous distribution, Gauss’s law, Applications of Gauss’s law.

Unit 3

Electric Potential

Learning Objectives

1. Explain electric potential and calculate potential for different charge distributions.
2. Apply the concept of electric potential to calculate work done in assembling point charges and continuous charge distributions.
3. Recognize the basic properties of conductors and calculate the capacitance of different capacitors.
4. Understand charging and discharging of RC circuits.

The curl of electric field, Electric potential, meaning of electric potential, Equipotential surfaces, Potential of localized charge distribution, Work and energy in electrostatics, Energy of a point charge distribution, Energy of continuous charge distribution, Conductors and Capacitors, Charging and discharging of RC Circuit.

Unit 4

Magnetostatics

Learning Objectives

Explain the origin of magnetic field and magnetic forces.
Calculate Magnetic field due to current source employing Biot-Savart law.
Apply Ampere’s law to solve problems in magnetostatics.

Magnetic fields, Magnetic forces, Currents, Biot-Savart law, Divergence and Curl of magnetic field, Ampere’s law and its applications.

Unit 5

Electrodynamics

Learning Objectives

Explain electromotive force and Faraday’s laws of electromagnetic induction.
Analyze charge-discharge characteristics of simple LC, LR and LCR circuits.

Ohm’s law, EMF, Motional EMF. Electromagnetic induction: Faraday’s law, Lenz’s law, induced electric field, Maxwell’s correction to Ampere’s law, Examples of LC, LR, LCR circuits.

Course Objectives

Having successfully completed this module, the student will be able to demonstrate knowledge and understanding of: Vector algebra and vector calculus from the perspective of electrodynamics, Coulomb’s law, Superposition principle, Concept of electric field, Potential formalism and its importance, working of capacitors and RC circuits, Magnetic fields and their origin, Ohm’s law, Faraday’s law, Lenz’s law and working of LC, LR, LCR circuits.

Course Outcomes

At the end of the course students will be able to
CO1. Apply vector algebra, vector calculus and orthogonal curvilinear coordinates to solve problems
CO2. Understand electric field, electric potential concepts to solve problems in electrostatics
CO3. Acquire knowledge in magnetostatics in order to calculate magnetic field for different current distributions
CO4. Understand electrodynamics and working of LC, LR and LCR circuits

Skills: Students will be able to improve their basic understanding of electricity and magnetism subject by solving problems on various topics in electrostatics, magnetostatics and electrodynamics which are given as assignments and quizzes.

CO-PO Mapping

Text Books

1. Introduction to Electrodynamics – David J. Griffiths, 4th edition, Pearson Publication, 2015.
2. David Halliday, Robert Resnick, and Jearl Walker, Fundamentals of physics, 9th Edition, John Wiley, 2012.

Reference

1. Richard P. Feynman, Robert P. Leighton and Matthew Sands, Feynman Lectures on Physics Vol.1, 1E, Narosa Publishing House, 2008.
2. Lectures by Prof. Dipan Ghosh on “Electromagnetic Theory” – https://nptel.ac.in/courses/115/101/115101005/
3. Lectures by Prof. Walter Lewin on Electricity and Magnetism – https://www.youtube.com/watch?v=x1-SibwIPM4&list=PLyQSN7X0ro2314mKyUiOILaOC2hk6Pc3j&index=2

CO-PO Mapping

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

CO-PO Justification