The BRADLEY DEPARTMENT of ELECTRICAL and COMPUTER ENGINEERING

# ECE 3106 Electromagnetic Fields | ECE | Virginia Tech

### Course Information

#### Description

Maxwell's equations and their application to engineering problems. 3105: Electrostatics, steady electric currents, magnetostatics (through Materials). 3106: Magnetostatics (inductances, forces, energy), time-varying fields, waves and propagation, transmission lines, waveguides.

#### Why take this course?

Electromagnetics provides the mathematical description of all electrical phenomena and therefore it is the physical foundation of all Electrical and Computer Engineering disciplines. Modern applications of electromagnetics are broad and include wireless communication systems, global navigation systems, bioelectrical phenomena, high speed computers and computer networks, as well as electrical, optical, and photonic devices. This course provides instruction in the fundamental engineering science and also the basics of modern applications.

Required for all EE majors; Technical elective for CPE majors

#### Prerequisites

C- or better in 3105

Proficiency in differential equations, vector calculus, electricity and magnetism, phasors, and basic circuit concepts is necessary. Consequently, students must have 2004, Math 2216, and Physics 2306 as prerequisites.

### Major Measurable Learning Objectives

• use the differential form of electrostatics and magnetostatics to calculate electrostatic and magnetostatic fields,
• use Faraday’s Law to analyze time-varying field problems,
• use Maxwell’s equations to develop wave equations that describe wave propagation and wave radiation,
• characterize the propagation of plane waves in material media,
• analyze transmission and reflection of plane waves,
• describe basic principles of wave guiding devices and antennas.

### Course Topics

#### Percentage of Course

Differential Form of Electrostatics and Magnetostatics (30%)
Review of integral forms 3%
Divergence, divergence theorem, and applications 5%
Poisson and Laplace equations and applications 6%
Graphical and numerical solutions 3%
Method of Images 3%
Curl, Stokes theorem, applications 5%
Displacement current 3%
Dynamic Maxwell’s equations (12%)
Wave equation solution in source free regions 9%
Wave equation solution with sources 3%
Time-harmonic fields/waves (31%)
Plane EM waves 5%
Propagation in conducting and dielectric media 10%
Polarization and Poynting theorem 3%
Normal/oblique reflection and transmission 10%
Fields and waves in Transmission lines 3%
Applications (14%)
Impedance matching (Smith Charts) 5%
Wave guiding devices 3%
Optical Fibers 3%