Course

UNIT 1: Vector analysisReview 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: ElectrostaticsCoulombs law. Superposition principle. Electric field discrete and continuous distribution, Gausss law, Applications of Gausss law.UNIT 3: Electric PotentialThe 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: MagnetostaticsMagnetic fields, Magnetic forces, Currents, Biot-Savart law, Divergence and Curl of magnetic field, Amperes law and its applications.UNIT 4: ElectrodynamicsOhms law, EMF, Motional EMF. Electromagnetic induction: Faradays law, Lenzs law, induced electric field, Maxwells correction to Amperes law, Examples of LC, LR, LCR circuits.

Prerequisites: NilCourse ObjectivesHaving 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, Coulombs 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, Faradays law, Lenzs law and working of LC, LR, LCR circuits.Course OutcomesAt the end of the course students will be able toCO1. Apply vector algebra, vector calculus and orthogonal curvilinear coordinates to solve problemsCO2. Understand electric field, electric potential concepts to solve problems in electrostatics CO3. Acquire knowledge in magnetostatics in order to calculate magnetic field for differentcurrent distributionsCO4. Understand electrodynamics and working of LC, LR and LCR circuits

Text Books1.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 books1. 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.LecturesbyProf.WalterLewinonElectricityandMagnetism- https://www.youtube.com/watch?v=x1- SibwIPM4&list=PLyQSN7X0ro2314mKyUiOILaOC2hk6Pc3j&index=2