# EC8451 – Electromagnetic Fields – Regulation 2017 Syllabus

## EC8451 – SYLLABUS

### UNIT I INTRODUCTION

Electromagnetic model, Units and constants, Review of vector algebra, Rectangular, cylindrical and spherical coordinate systems, Line, surface and volume integrals, Gradient of a scalar field, Divergence of a vector field, Divergence theorem, Curl of a vector field, Stoke?s theorem, Null identities, Helmholtz?s theorem

### UNIT II ELECTROSTATICS

Electric field, Coulomb?s law, Gauss?s law and applications, Electric potential, Conductors in static electric field, Dielectrics in static electric field, Electric flux density and dielectric constant, Boundary conditions, Capacitance, Parallel, cylindrical and spherical capacitors, Electrostatic energy, Poisson?s and Laplace?s equations, Uniqueness of electrostatic solutions, Current density and Ohm?s law, Electromotive force and Kirchhoff?s voltage law, Equation of continuity and Kirchhoff?s current law

### UNIT III MAGNETOSTATICS

Lorentz force equation, Law of no magnetic monopoles, Ampere?s law, Vector magnetic potential, Biot-Savart law and applications, Magnetic field intensity and idea of relative permeability, Magnetic circuits, Behaviour of magnetic materials, Boundary conditions, Inductance and inductors, Magnetic energy, Magnetic forces and torques

### UNIT IV TIME-VARYING FIELDS AND MAXWELL?s EQUATIONS

Faraday?s law, Displacement current and Maxwell-Ampere law, Maxwell?s equations, Potential functions, Electromagnetic boundary conditions, Wave equations and solutions, Time-harmonic fields

### UNIT V PLANE ELECTROMAGNETIC WAVES

Plane waves in lossless media, Plane waves in lossy media (low-loss dielectrics and good conductors), Group velocity, Electromagnetic power flow and Poynting vector, Normal incidence at
a plane conducting boundary, Normal incidence at a plane dielectric boundary