consideration of time-varying fields, leading to Maxwell's equations for the curl of E and B, and the consequent implication of the existence of electromagnetic fields in free space, derivation of the wave equation in free space and plane wave solutions for this review of electrostatics and magnetostatics with the introduction of vector calculus in three dimensions as applied to the derivation of Coulomb's, Gauss', Lorentz force, Biot-Savart and Ampère’s Laws as well as Maxwell's equations for the divergence of the field vectors E and B This will be achieved specifically through the following aims: The central aim of this study-unit is to provide students of physics with a broad and basic background in electromagnetic theory. Introduction to guided propagation of electromagnetic waves: types of waveguides, parallel wire transmission lines, the line equations, characteristic impedance, rectangular waveguides, transverse electric and transverse magnetic propagation modes in rectangular waveguides, cutoff frequency. Magnetic fields in matter: magnetic dipole moment, the magnetization vector M, the magnetic intensity vector H, magnetic susceptibility.Įlectromagnetic fields in linear, isotropic and homogeneous (LIH) media: Maxwell’s equations in LIH media, the wave equation for LIH media, conducting media, skin depth, E and H vectors in lossy media, complex permittivity and permeability.Įlectromagnetic field energy: energy density in electromagnetic fields, energy flow, Poynting’s Theorem, the Poynting Vector in free space and in LIH media.īoundary conditions: boundary conditions at the interface between two LIH media for the field vectors E, B, D and H.īasic applications of the Boundary Conditions: reflection and refraction of plane waves at the interface between dielectric media, the Fresnel equations, the Brewster angle, reflection and refraction at the surface of a good conductor. Time-varying fields: Faraday’s Law of Induction, the curl of E, vacuum displacement current, and the curl of B.Įlectromagnetic waves in free space: Maxwell’s equations in free space, wave equations for E and B, plane wave solutions for the wave equation, polarization.Įlectric fields in insulators: electric dipole moment, dielectric polarization, dielectrics in non-uniform electric fields, polarization charge density and surface charge density, the electric displacement vector D, electric susceptibility. Steady currents - magnetostatics: Lorentz force, Biot-Savart Law, the divergence of B, Ampère’s Law. 02 - Years 2, 3 in Modular Undergraduate CourseĮlectrostatics: Coulomb’s Law, electric field of a charge distribution, Gauss’ Law, the divergence of E.

Electromagnetic waves staelin