Introduction to Electromagnetic Theory

IIT Kanpur, , Prof. Prof. Manoj K Harbola

Updated On 02 Feb, 19

Overview

This course introduces students to handling electromagnetic theory using vector calculus. This enables students to handle problems that are more complicated than they are used to from their school days. Due to general nature of the mathematics they learn in this course, what they learn here will help them in their future courses like fluid dynamics that use similar mathematics.

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Lecture 34: Introduction to Magnetostatics; The BiO-Savart law

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Course Details

COURSE LAYOUT

Week 1: Coulombs law Divergence of electric field Gauss law Curl of electric field Stokes theorem Electrostatic potential

Week 2: Laplaces equation for electrostatic potential Laplaces equation in other fields Uniqueness of solution of Laplaces equation Poisson equation and uniqueness of its solution Method of images for planar surfaces Work and energy in electrostatics

Week 3: Conductors and capacitors Reciprocity theorem Polarization and bound charges Linear dielectrics Electric displacement Fields in dielectrics

Week 4: Magnetic field due to a magnet Magnetic field due to a steady current Divergence and curl of magnetic field Amperes law The vector potential Magnetization and bound currents

Week 5: Magnetic fields in matter Magnetic field in matter Faradays law Induced electric field Energy in magnetic field Displacement current

Week 6: Maxwells equations Work done by electromagnetic field Poyntings theorem Momentum in electromagnetic field Angular momentum in electromagnetic field Electromagnetic waves: the wave equation

Week 7: Wave equation Plane electromagnetic waves Energy carried by electromagnetic waves Pressure due to electromagnetic waves Reflection and transmission of electromagnetic waves Reflection and transmission of electromagnetic waves

Week 8: Review and Problem Solving