Electromagnetic Field Theory

Unit 1.0: Vector Calculus and Coordinate System

Introduction to Vector Algebra • Coordinate Systems (rectangular, cylindrical, and spherical) and Transformation • Vector calculus-differentiation • Partial differentiation • Integration • Vector operator del • Gradient • Divergence • And curl • Integral theorems of vectors

Unit 2.0: Electrostatics

Coulomb's law • Gauss's law and its applications • Electric field intensity • Electrical field due to point charges • Line • Surface and Volume charge distributions • Absolute Electric potential • Potential difference • Calculation of potential differences for different configurations • Poisson's and Laplace's equation • Applications (solution for some simple cases) • Capacitance • Electrostatic energy • Conductor properties and Uniqueness Theorem

Unit 3.0: Magnetostatics

Biot-Savart law • Ampere's circuital law • Magnetic flux and magnetic flux density • Energy stored in magnetic field • Ampere's force law • Magnetic vector potential • Analogy between electric and magnetic field • Maxwell's equations in differential and integral form

Unit 4.0: Maxwell's Equations and Time-Varying Field

Faraday's law • Transformer and motional EMF • Displacement current • Maxwell's equations in time static and time varying field • Time harmonic field • Dielectric and Magnetic boundary condition

Unit 5.0: Electromagnetic Wave Propagation in Different Media

Uniform Plane Wave Propagation • Wave Propagation in Free Space • Dielectric and Conductor • Skin Effect • Wave Polarization • Plane of incidence • Reflection of Plane wave (at normal and oblique) for conductor and dielectric • Surface Impedance • Poynting Vector: Poynting Theorem • Instantaneous • Average and Complex Poynting Vector • Power Loss in Plane Conductor