Paul Andersen explains how electromagnetic induction occurs when the magnetic flux of an object changes. The magnetic flux is product of the surface area perpendicular to the magnetic field and the magnetic field strength. Microphones and generators are examples of devices that utilize electromagnetic induction.

Paul Andersen details the waves in electromagnetic radiation. There is an inverse relation between the wavelength and frequency of electromagnetic waves. Electromagnetic radiation includes gamma rays, x-rays, infrared lights, visible light, uv light, microwaves and radio waves.

Paul Andersen details the characteristics of electromagnetic waves. Electromagnetic waves are transverse waves that can move through both mediums and vacuums. The electric and magnetic fields oscillate perpendicular to the wave direction.

Students learn about the scientific and mathematical concepts around electromagnetic light properties that enable the engineering of sunglasses for eye protection. They compare and contrast tinted and polarized lenses as well as learn about light intensity and how different mediums reduce the intensities of various electromagnetic radiation wavelengths. Through a PowerPoint® presentation, students learn about light polarization, transmission, reflection, intensity, attenuation, and Malus’ law. A demo using two slinky springs helps to illustrate wave disturbances and different-direction polarizations. As a mini-activity, students manipulate slide-mounted polarizing filters to alter light intensity and see how polarization by transmission works. Students use the Malus’ law equation to calculate the transmitted light intensity and learn about Brewster’s angle. Two math problem student handouts are provided. Students also brainstorm ideas on how sunglasses could be designed and improved, which prepares them for the associated hands-on design/build activity.

Electromagnetics Volume 1 by Steven W. Ellingson is a 225-page, peer-reviewed open educational resource intended for electrical engineering students in the third year of a bachelor of science degree program. It is intended as a primary textbook for a one-semester first course in undergraduate engineering electromagnetics. The book employs the “transmission lines first” approach in which transmission lines are introduced using a lumped-element equivalent circuit model for a differential length of transmission line, leading to one-dimensional wage equations for voltage and current.

Suggested citation: Ellingson, Steven W. (2018) Electromagnetics, Vol. 1. Blacksburg, VA: VT Publishing. https://doi.org/10.21061/electromagnetics-vol-1 CC BY-SA 4.0

Three formats of this book are available:
Print (ISBN 978-0-9979201-8-5)
PDF (ISBN 978-0-9979201-9-2)
LaTeX source files

If you are a professor reviewing, adopting, or adapting this textbook please help us understand a little more about your use by filling out this form: http://bit.ly/vtpublishing-updates

Additional Resources
Problem sets and the corresponding solution manual are also available.
Community portal for the Electromagnetics series https://www.oercommons.org/groups/electromagnetics-user-group/3455/
Faculty listserv for the Electromagnetics series https://groups.google.com/a/vt.edu/d/forum/electromagnetics-g
Submit feedback and suggestions http://bit.ly/electromagnetics-suggestion

Table of Contents:
Chapter 1: Preliminary Concepts
Chapter 2: Electric and Magnetic Fields
Chapter 3: Transmission Lines
Chapter 4: Vector Analysis
Chapter 5: Electrostatics
Chapter 6: Steady Current and Conductivity
Chapter 7: Magnetostatics
Chapter 8: Time-Varying Fields
Chapter 9: Plane Waves in Lossless Media
Appendixes
A. Constitutive Parameters of Some Common Materials
B. Mathematical Formulas
C. Physical Constants

About the Author: Steven W. Ellingson (ellingson@vt.edu) is an Associate Professor at Virginia Tech in Blacksburg, Virginia in the United States. He received PhD and MS degrees in Electrical Engineering from the Ohio State University and a BS in Electrical & Computer Engineering from Clarkson University. He was employed by the US Army, Booz-Allen & Hamilton, Raytheon, and the Ohio State University ElectroScience Laboratory before joining the faculty of Virginia Tech, where he teaches courses in electromagnetics, radio frequency systems, wireless communications, and signal processing. His research includes topics in wireless communications, radio science, and radio frequency instrumentation. Professor Ellingson serves as a consultant to industry and government and is the author of Radio Systems Engineering (Cambridge University Press, 2016).

This textbook is part of the Open Electromagnetics Project led by Steven W. Ellingson at Virginia Tech. The goal of the project is to create no-cost openly-licensed content for courses in undergraduate engineering electromagnetics. The project is motivated by two things: lowering learning material costs for students and giving faculty the freedom to adopt, modify, and improve their educational resources.

Accessibility features of this book: Screen reader friendly, navigation, and Alt-text for all images and figures.

Publication of this book was made possible in part by the Open Education Faculty Initiative Grant program at the University Libraries at Virginia Tech. http://guides.lib.vt.edu/oer/grants

Electromagnetics, volume 2 by Steven W. Ellingson is a 216-page peer-reviewed open textbook designed especially for electrical engineering students in the third year of a bachelor of science degree program. It is intended as the primary textbook for the second semester of a two-semester undergraduate engineering electromagnetics sequence. The book addresses magnetic force and the Biot-Savart law; general and lossy media; parallel plate and rectangular waveguides; parallel wire, microstrip, and coaxial transmission lines; AC current flow and skin depth; reflection and transmission at planar boundaries; fields in parallel plate, parallel wire, and microstrip transmission lines; optical fiber; and radiation and antennas.

Table of Contents:
Chapter 1: Preliminary Concepts
Chapter 2: Magnetostatics Redux
Chapter 3: Wave Propagation in General Media
Chapter 4: Current Flow in Imperfect Conductors
Chapter 5: Wave Reflection and Transmission
Chapter 6: Waveguides
Chapter 7: Transmission Lines Redux
Chapter 8: Optical Fiber
Chapter 9: Radiation
Chapter 10: Antennas
Appendix A: Constitutive Parameters of Some Common Materials
Appendix B: Mathematical Formulas
Appendix C: Physical Constants

Additional Resources
Problem sets and the corresponding solution manuals
Slides of figures used in and created for the book
LaTeX sourcefiles.
Screen-reader friendly version
Errata for Volume 2
Collaborator portal for the Electromagnetics series https://www.oercommons.org/groups/electromagnetics-user-group/3455
Faculty listserv for the Electromagnetics series
Submit feedback and suggestions

The Open Electromagnetics Project https://www.faculty.ece.vt.edu/swe/oem
Led by Steven W. Ellingson at Virginia Tech, the goal of the Open Electromagnetics Project is to create no-cost openly-licensed content for courses in engineering electromagnetics. The project is motivated by two things: lowering learning material costs for students and giving faculty the freedom to adopt, modify, and improve their educational resources.

Books in this Series
Electromagnetics, Volume 1 https://doi.org/10.21061/electromagnetics-vol-1
Electromagnetics, Volume 2 https://doi.org/10.21061/electromagnetics-vol-2

To express your interest in a book or this series, please visit http://bit.ly/vtpublishing-updates

Paul Andersen explains how the charge distribution can be affected my electric forces produced by a charged object. In an insulator charges are fixed but in conductors the charges can move. Induction occurs when the charges in an object influence charges in another object.

Paul Andersen explains how electric charge is quantized and how the smallest unit of charge is 1.6x10^-19 C, or the elementary charge. Robert Millikan discovered the elementary charge using the oil drop experiment. Electrons have a negative elementary charge and protons have a positive elementary charge.

Paul Andersen explains how the conservation of mass was replaced with the conservation of mass-energy when it was determined that they are equivalent. This famous equation not only show the mass-energy equivalence but can be used to determine the quantitative amount of energy gained or lost in this conversion.

Paul Andersen explains how the photons emitted from or absorbed by an atom or nuclei is directly related to electrons moving between energy level. Absorption and emission are a direct result of the conservation of energy.

Paul Andersen explains how the law of conservation of energy applies to both energy and mass. Einstein showed that mass and energy are equivalent and that the amount of energy contained within matter can be calculated using the famous equation E=mc^2.

Students experiment with an online virtual laboratory set at a skate park. They make predictions of graphs before they use the simulation to create graphs of energy vs. time under different conditions. This simulation experimentation strengths their comprehension of conservation of energy solely between gravitational potential energy and kinetic energy

In Activity 5, as part of the Going Public step, students demonstrate their knowledge of how potential energy may be transferred into kinetic energy. Students design, build and test vehicle prototypes that transfer various types of potential energy into motion.

Mr. Andersen defines the terms energy, work and power. He also uses a simple example to calculate both work and power.

This activity utilizes hands on learning with the conservation of energy with the inclusion of elastic potential energy. Students use pogo sticks to experience the elastic potential energy and its conversion to gravitational potential energy.

This activity utilizes hands-on learning with the conservation of energy and the interaction of friction. Students use a roller coaster track and collect position data. The students then calculate velocity, and energy data. After the lab, students relate the conversion of potential and kinetic energy to the conversion of energy used in a hybrid car.

Students are introduced to genetic techniques such as DNA electrophoresis and imaging technologies used for molecular and DNA structure visualization. In the field of molecular biology and genetics, biomedical engineering plays an increasing role in the development of new medical treatments and discoveries. Engineering applications of nanotechnology such as lab-on-a-chip and deoxyribonucleic acid (DNA) microarrays are used to study the human genome and decode the complex interactions involved in genetic processes.

Under the "The Science Behind Harry Potter" theme, a succession of diverse complex scientific topics are presented to students through direct immersive interaction. Student interest is piqued by the incorporation of popular culture into the classroom via a series of interactive, hands-on Harry Potter/movie-themed lessons and activities. They learn about the basics of acid/base chemistry (invisible ink), genetics and trait prediction (parseltongue trait in families), and force and projectile motion (motion of the thrown remembrall). In each lesson and activity, students are also made aware of the engineering connections to these fields of scientific study.

This course covers the major topics of mechanics, including momentum and energy conservation, kinematics, Newton‰ŰŞs laws and equilibrium. The major emphasis is to develop critical analysis, problem solving and scientific reasoning skills by considering numerous different systems and interactions, solving problems and discussion. It uses a systematic approach based on modeling systems by application of basic physics principles, making assumptions, utilizing multiple representations (not just mathematical) in order to become proficient at problem solving. Lab work is required and is designed to help students develop a questioning approach to physical situations, distinguishing the significant behaviors from the less significant behaviors of a system under study.Login: guest_oclPassword: ocl

Students use simple materials to design an open spectrograph so they can calculate the angle light is bent when it passes through a holographic diffraction grating. A holographic diffraction grating acts like a prism, showing the visual components of light. After finding the desired angles, students use what they have learned to design their own spectrograph enclosure.