1. Review of Vector Analysis
Vector analysis, Physical interpretation of gradient, divergence and curl; vector relations in other coordinate
systems, integral theorems: divergence theorem, stoke’s theorem, green’s theorem and Helmholtz theorem.
2. Electrostatics
Introduction to fundamental relations of electrostatic field; Gauss's law and its applications; potential
function; Field due to continuous distribution of charges; Equipotential surfaces; Divergence theorem;
Poisson's equation and Laplace's equation, capacitance, electrostatic energy, Conditions at Boundary between
dielectrics, Uniqueness theorem.
3. The Steady Magnetic Field
Magnetic induction and Faraday’s laws; magnetic Flux Density; magnetic field strength and magnetomotive
force; Ampere’s work Law in the differential vector form; permeability; energy stored in a magnetic field ;
ampere’s force law; magnetic vector potential, Analogies between electric and magnetic fields.
4. Maxwell's equations and Poynting vector
Equation of continuity for time varying fields, Inconsistency of ampere’s law, Maxwell’s equations,
conditions at a Boundary surface, Poynting Theorem, Interpretation of ExH
5. Electromagnetic Waves
Solutions for free-space conditions; Uniform plane Wave Propagation; Wave equations for a conducting
medium; Sinusoidal time variations; Polarization; Conductors and Dielectrics; Direction Cosines; Reflection
by Perfect Conductor -normal and oblique incidence, Perfect Dielectric-normal incidence, Perfect Insulator –
Oblique incidence; Reflection at a surface of Conductive medium.