Content
Introduction to scalars and vectors
Vectors belong to a general set of mathematical quantities governed by linear algebra.
These principles are applied to other quantities later in the course, so it is important to
have a good grasp of the concept

Content
Waveguides
We are all comfortable with the fact that electromagnetic energy can be transmitted through space.
Certainly, anyone with a iPhone or Blackberry is communicating via transmission of electromagnetic
energy every time the device is used.

Content
Wave Propagation in Free Space
The previous solution of Maxwell's equations using potential functions was for unbounded space.
However, most real problems typically have boundaries. We will find that plane waves also satisfy
Maxwell's equations. A

Content
Wave Propagation in Free Space
Recall that we derived the wave equation for the electric field intensity for a uniform nonconducting
medium with no charge density. A similar derivation can be performed for the magnetic field intensity.
Starting wi

Content
Introduction
In our study of antennas, we consider the small dipole and the small loop. These are fundamental
antenna types and should be understood as a prelude to understanding more complex antenna
structures. This module seeks to explain how th

Content
Faraday's Law
Faraday's law states that a time varying magnetic field (flux) produces an electromotive force (EMF or
voltage). Stated mathematically,
EMF = d/dt [Volts]
Note that the negative sign indicates that the EMF drives a current which in t

Content
Electric flux density
[1]
In 1837, a British scientist, Michael Faraday , conducted an experiment that consisted of two concentric
spheres. The inner sphere was charged and then the outer sphere, composed of two hemispheres,
enclosed the inner sph

Content
Potential Field of a Point Charge
Recall that given a point source at the origin (for r = 0), the electric field is
Then the potential difference between two radial distances, rB to rA, becomes,
For any value of and thus any path. We are represent

Content
Magnetic Flux and Magnetic Flux Density
B = 0H [Wb/m2] is the magnetic flux density in free space in terms of the magnetic field intensity, H. The
unit of B is named after Wilhelm Weber[1]. 0 = 4x107 [H/m] is the permeability of free space. The un

Content
Nature of Dielectric Materials
Recall that metals contain charges that act like free electrons and are highly conductive. Also recall that
semiconductors contain electrons and holes and have moderate conductivity and have bound charges as
well. Di

Content
1-D solutions of Laplace's equation
Consider the following 1-D problems, 1) along the x-axis in rectangular coordinates between two plates,
2) the radially dependent coaxial cable, and 3) concentric spherical shells, solve Laplace's equation and
a

Content
Transmission Lines
Much of the work on transmission lines that we see in books on Electromagnetics can be traced back to
the development of the Telegraph in the 19th century. Indeed, one of the most exciting events of that time
frame was the succe