The BRADLEY DEPARTMENT of ELECTRICAL and COMPUTER ENGINEERING

# ECE 3105 Electromagnetic Fields | ECE | Virginia Tech

### Course Information

#### Description

Maxwell's equations and their application to engineering problems. ECE 3105: transmission lines, introductory electrostatics, introductory magnetostatics, Faraday's Law, properties of uniform plane waves.

#### 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, and electromagnetic phenomena in Earth's near-space environment (space weather) as well as electrical, optical, and photonic devices. This course provides instruction in the fundamental engineering science and also the basics of modern applications.

### Learning Objectives

• " analyze voltage and current signals and calculate input impedance for a transmission line
• " determine capacitance and resistance of devices using electrostatics concepts
• " determine inductance of devices using magnetostatics concepts
• " apply Faraday's law to analyze transformers
• " apply Maxwell's equations to analyze the electromagnetic fields of uniform plane waves

### Course Topics

#### Percentage of Course

1. Transmission Lines: a. Voltage and current wave equations b. Reflection coefficient and standing waves c. Wave impedance and input impedance d. Terminations and impedance matching e. Transient analysis 25%
2. Introduction to Electrostatics: a. Review of vector algebra and calculus tools b. Charge distributions, Coulomb's law, and Gauss's law c. Electric scalar potential and Laplace's equation d. Electrical properties of materials and boundary conditions e. Resistance, capacitance and electrostatic potential energy 25%
3. Introduction to Magnetostatics: a. Gauss's law for magnetism b. Ampere's law and magnetic fields of a wire and coil c. Magnetic properties of materials and boundary conditions d. Self-inductance, mutual inductance, and magnetic energy 20%
4. Faraday's Law: a. Faraday's law and a loop in a time varying magnetic field b. Ideal transformer 15%
5. Maxwell's Equations and Uniform Plane Waves: a. Wave equations and displacement current b. Uniform plane waves, wave polarization, and power density 15%