Students construct model landfill liners using tape and strips of plastic, within resource constraints. The challenge is to construct a bag that is able to hold a cup of water without leaking. This represents similar challenges that environmental engineers face when piecing together liners for real landfills that are acres and acres in size.

This activity demonstrates the effect of changes in the environment on the growth of plants. The plants are placed in environments such as high salinity, cold, heat, or drought and observe the different reactions (growth) of the plants to these conditions. Students discuss the desirability of breeding new types of plants that are better able to withstand these changes if they occur in the general environment. The objectives of this activity is to: 1. Plant, grow and maintain plants under different environmental treatment conditions. 2. Observe differences in plant growth between these treatments. 3. Compare the growth of treated plants with the growth of control plants

Students use a watt meter to measure energy input into a hot plate or hot pot used to heat water. The theoretical amount of energy required to raise the water by the measure temperature change is calculated and compared to the electrical energy input to calculate efficiency.

Students use LEGO® motors and generators to raise washers a measured height. They compare the work done by the motor-generator systems with the energy inputs to calculate efficiency.

A process for technical problem solving is introduced and applied to a fun demonstration. Given the success with the demo, the iterative nature of the process can be illustrated.

The purpose of this activity is to recreate the classic egg-drop experiment with an analogy to the Mars rover landing. The concept of terminal velocity will be introduced, and students will perform several velocity calculations. Also, students will have to design and build their lander within a pre-determined budget to help reinforce a real-world design scenario.

One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators. Another goal is to help them develop fraction number sense by having students decompose fractions. Because the Egyptians represented fractions differently than we do, it can also help students understand that there can be many ways of representing the same number.

The purpose of this task is to strengthen students' understanding of area. It could be assigned in class to individuals or small groups or given as a homework exercise to generate interesting discussions the following day. The relatively high levels of complexity and technical demand enhance its instructional value.

Los estudiantes diseñan y construyen una estructura para soportar el peso de libros durante 15 segundos.

This task introduces the fundamental statistical ideas of using data summaries (statistics) from random samples to draw inferences (reasoned conclusions) about population characteristics (parameters). In the task built around an election poll scenario, the population is the entire seventh grade class, the unknown characteristic (parameter) of interest is the proportion of the class members voting for a specific candidate, and the sample summary (statistic) is the observed proportion of voters favoring the candidate in a random sample of class members.

This task introduces the fundamental statistical ideas of using data summaries (statistics) from random samples to draw inferences (reasoned conclusions) about population characteristics (parameters). In the task built around an election poll scenario, the population is the entire seventh grade class, the unknown characteristic (parameter) of interest is the proportion of the class members voting for a specific candidate, and the sample summary (statistic) is the observed proportion of voters favoring the candidate in a random sample of class members.

This task introduces the fundamental statistical ideas of using data summaries (statistics) from random samples to draw inferences (reasoned conclusions) about population characteristics (parameters). In the task built around an election poll scenario, the population is the entire seventh grade class, the unknown characteristic (parameter) of interest is the proportion of the class members voting for a specific candidate, and the sample summary (statistic) is the observed proportion of voters favoring the candidate in a random sample of class members.

n addition to providing a task that relates to other disciplines (history, civics, current events, etc.), this task is intended to demonstrate that a graph can summarize a distribution as well as provide useful information about specific observations.

After this course the student can:
Understand mechanical system requirements for Electric Drive
Understand and apply passive network elements (R, L, C), laws of Kirchhof, Lorentz, Faraday
Understand and apply: phasors for simple R,L,C circuits
Understand and apply real and reactive power, rms, active and reactive current, cos phi
Describe direct current (DC), (single phase) alternating current (AC) and (three phase) alternating current systems, star-delta connection
Understand the principle of switch mode power electronic converters, pole as a two quadrant and four quadrant converter
Understand principles of magnetic circuits, inductances and transformers

This lesson introduces students to the fundamental concepts of electricity. This is accomplished by addressing questions such as "How is electricity generated," and "How is it used in every-day life?" The lesson also includes illustrative examples of circuit diagrams to help explain how electricity flows.

Building on concepts taught in the associated lesson, students learn about bioelectricity, electrical circuits and biology as they use deductive and analytical thinking skills in connection with an engineering education. Students interact with a rudimentary electrocardiograph circuit (made by the teacher) and examine the simplicity of the device. They get to see their own cardiac signals and test the device themselves. During the second part of the activity, a series of worksheets, students examine different EKG print-outs and look for irregularities, as is done for heart disease detection.

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

This is a description of a student experiment that teachers can adapt to allow students to prove that electric current produces a magnetic field. The sample includes a specific example of how to do the experiment which can be adapted to an inquiry investigation by having students complete the initial experiment and then write their investigation question and further investigate the phenomena. When completing this as a demonstration or student experiment batteries can be substituted for the variable power supply if power supplies are not available or convenient to use. The voltage provided to the circuit can be easily manipulated by changing the number of batteries connected.

Students learn about current electricity and necessary conditions for the existence of an electric current. Students construct a simple electric circuit and a galvanic cell to help them understand voltage, current and resistance.