Plane Waves
Phasor notation
Euler Identity j e cos j sin Instead of writing the sinusoidal terms of the time varying fields, we may simply express the time variation of the fields as complex exponentials
A x , y , z , t = A x , y , z cos t A x , y , z e j

Time Varying Fields and Maxwells Equations
Chapter 10
Time-Varying Fields & Maxwells Equations Time Time-varying magnetic fields Time-varying electric fields
Electric field produced by time-varying magnetic field
- Michael Faraday
Magnetic Field produced

Chapter 9
Magnetic Forces, Materials, and Inductance
Physical significance of Chapter 8 Magnetic forces and torques Magnetic materials Inductance
Force on a Moving Charge
In electrostatics, E causes a force to be exerted on a charge (either stationary or

Chapter 8
The Steady Magnetic Field
Sources of Magnetic Fields
1. Permanent magnet 2. Linearly-changing electric field 3. Direct current
Biot-Savart Law
At any point P, the magnitude of the magnetic field intensity produced by a differential current eleme

Chapter 7
Poissons and Laplaces Equations
Poisson's and Laplaces Equations Recall: Point form of Gauss's Law: D = v Relationship between D and E: D = E Gradient relationship between V and E: E = -V Combining the three equations:
v V =
D = (E) = - (V) =

Chapter 5
Conductors, Dielectrics And Capacitance
1
Current and Current Density
Electric Current
charges in motion rate of movement of charge passing a given a reference point or crossing a given reference plane unit for current is Ampere (A). 1 A = 1 C/

Chapter 4
Energy and Potential
1
Energy Expended in Moving a Point Charge in an Electric Field
Consider a charge Q in a region in space where an electric field E exists. The force experienced by the charge due to the field is
FE = QE
If we want to move th

Chapter 3. Electric Flux Density, Gauss's Law and Divergence Chapter Electric The Electric Flux Density
Faraday's experiment: A pair of concentric metallic spheres was constructed, the outer one consisting of two hemispheres that could be firmly clamped t

Chapter 2. Coulombs Law and Electric Field Intensity
The Experimental Law of Coulomb Coulombs Law The magnitude of force between two very small objects separated in free space by a distance which is large compared to their size is given by
Q1Q2 F= 4 0R 2

Transmission Line Theory
Transmission Line Theory
Bridges gap between field analysis and basic circuit theory Analysis of transmission lines
Circuit theory based Special case of maxwell's equations (EM based)
Propagation of waves in transmission lines a

Chapter 1. Vector Analysis Chapter
Chapter 1: Discusses the language (or the math) that will be used the entire semester. Day 1 1. 2. 3. 4. Scalars and vectors Scalar and vector fields Vector Algebra Component vectors and unit vectors
Chapter 1. Vector An