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Electrical Engineering and Computer Science
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This site, created by the Massachusetts Institute of Technology, introduces the electrical engineering and computer science department. Graduates of MIT's electrical engineering and computer science department work in diverse industries and conduct research in a broad range of areas. The site features lecture notes, assignments, solutions, online textbooks, projects, examples and exams.

Subject:
Applied Science
Engineering
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Date Added:
01/18/2011
Electrical Power Drives
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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

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Material Type:
Activity/Lab
Assessment
Lecture Notes
Provider:
Delft University of Technology
Provider Set:
Delft University OpenCourseWare
Author:
Prof.dr.ir. P. Bauer
Date Added:
02/03/2016
Electrical machines and drives
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The course gives an overview of different types of electrical machines and drives. Different types of mechanica loads are discussed. Maxwell's equations are applied to magnetic circuits including permanent magnets. DC machines, induction machines, synchronous machines, switched reluctance machines, brushless DC machines and single-phase machines are discussed with the power electronic converters used to drive them.Study Goals After following this course the students should have an overview over the different types of electrical machines and the way they are used in drive systems and they should be able to derive equations describing the steady-state performance of these machines

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Material Type:
Full Course
Provider:
Delft University of Technology
Provider Set:
Delft University OpenCourseWare
Author:
H. Polinder
Date Added:
02/08/2016
The Electric and Magnetic Personalities of Mr. Maxwell
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Students are briefly introduced to Maxwell's equations and their significance to phenomena associated with electricity and magnetism. Basic concepts such as current, electricity and field lines are covered and reinforced. Through multiple topics and activities, students see how electricity and magnetism are interrelated.

Subject:
Applied Science
Engineering
Geology
Physical Science
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Malinda Schaefer Zarske
Teresa Ellis
Date Added:
09/18/2014
Electricity and Magnetic Fields
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The grand challenge for this legacy cycle unit is for students to design a way to help a recycler separate aluminum from steel scrap metal. In previous lessons, they have looked at how magnetism might be utilized. In this lesson, students think about how they might use magnets and how they might confront the problem of turning the magnetic field off. Through the accompanying activity students explore the nature of an electrically induced magnetic field and its applicability to the needed magnet.

Subject:
Applied Science
Engineering
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Justin Montenegro
Date Added:
09/18/2014
Electrifying the World
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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.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Wendy Lin
Date Added:
09/18/2014
Electrocardiograph Building
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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.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
James Crawford
Katherine Murray
Leyf Peirce
Mark Remaly
Shayn Peirce
Date Added:
09/18/2014
Electrochemical Energy Systems, Spring 2014
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This course introduces principles and mathematical models of electrochemical energy conversion and storage. Students study equivalent circuits, thermodynamics, reaction kinetics, transport phenomena, electrostatics, porous media, and phase transformations. In addition, this course includes applications to batteries, fuel cells, supercapacitors, and electrokinetics.

Subject:
Applied Science
Career and Technical Education
Chemistry
Electronic Technology
Engineering
Physical Science
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Bazant, Martin
Date Added:
01/01/2011
Electrochemical Processing of Materials, Spring 2001
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Thermodynamic and transport properties of aqueous and nonaqueous electrolytes. The electrode/electrolyte interface. Kinetics of electrode processes. Electro-chemical characterization: d.c. techniques (controlled potential, controlled current), a.c. techniques (voltametry and impedance spectroscopy). Applications: electrowinning, electrorefining, electroplating, and electrosynthesis, as well as electrochemical power sources (batteries and fuel cells). This course covers a variety of topics concerning superconducting magnets, including thermodynamic and transport properties of aqueous and nonaqueous electrolytes, the electrode/electrolyte interface, and the kinetics of electrode processes. It also covers electrochemical characterization with regards to d.c. techniques (controlled potential, controlled current) and a.c. techniques (voltametry and impedance spectroscopy). Applications of the following will also be discussed: electrowinning, electrorefining, electroplating, and electrosynthesis, as well as electrochemical power sources (batteries and fuel cells).

Subject:
Applied Science
Engineering
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Sadoway, Donald
Date Added:
01/01/2001
Electromagnetic Energy: From Motors to Lasers, Spring 2011
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This course discusses applications of electromagnetic and equivalent quantum mechanical principles to classical and modern devices. It covers energy conversion and power flow in both macroscopic and quantum-scale electrical and electromechanical systems, including electric motors and generators, electric circuit elements, quantum tunneling structures and instruments. It studies photons as waves and particles and their interaction with matter in optoelectronic devices, including solar cells, displays, and lasers. The instructors would like to thank Scott Bradley, David Friend, Ta-Ming Shih, and Yasuhiro Shirasaki for helping to develop the course, and Kyle Hounsell, Ethan Koether, and Dmitri Megretski for their work preparing the lecture notes for OCW publication.

Subject:
Applied Science
Engineering
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Jeffrey H. Lang
Rajeev Ram
Steven Leeb
Vladimir Bulovic
Yu Gu
Date Added:
01/01/2011
Electromagnetic Field Theory: A Problem Solving Approach, Spring 2008
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This text is an introductory treatment on the junior level for a two-semester electrical engineering course starting from the Coulomb-Lorentz force law on a point charge. The theory is extended by the continuous superposition of solutions from previously developed simpler problems leading to the general integral and differential field laws. Often the same problem is solved by different methods so that the advantages and limitations of each approach becomes clear. Sample problems and their solutions are presented for each new concept with great emphasis placed on classical models of physical phenomena such as polarization, conduction, and magnetization. A large variety of related problems that reinforce the text material are included at the end of each chapter for exercise and homework.

Subject:
Applied Science
Engineering
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Zahn, Markus
Date Added:
01/01/2008
Electromagnetic Fields and Energy, Spring 2008
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Published in 1989 by Prentice-Hall, this book is a useful resource for educators and self-learners alike. The text is aimed at those who have seen Maxwell's equations in integral and differential form and who have been exposed to some integral theorems and differential operators. A hypertext version of this textbook can be found here. An accompanying set of video demonstrations is available below. These video demonstrations convey electromagnetism concepts. The demonstrations are related to topics covered in the textbook. They were prepared by Markus Zahn, James R. Melcher, and Manuel L. Silva and were produced by the Department of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology. The purpose of these demonstrations is to make mathematical analysis of electromagnetism take on physical meaning. Based on relatively simple configurations and arrangements of equipment, they make a direct connection between what has been analytically derived and what is observed. They permit the student to observe physically what has been described symbolically. Often presented with a plot of theoretical predictions that are compared to measured data, these demonstrations give the opportunity to test the range of validity of the theory and present a quantitative approach to dealing with the physical world. The short form of these videos contains the demonstrations only. The long form also presents theory, diagrams, and calculations in support of the demonstrations. These videos are used in the courses 6.013J/ESD.013J and 6.641. Technical Requirements:Special software is required to use some of the files in this course: .mp4, .rm.

Subject:
Applied Science
Computer Science
Physical Science
Physics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Silva, Manuel L.
Zahn, Markus
Date Added:
01/01/2008
Electromagnetic Interactions, Fall 2005
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Principles and applications of electromagnetism, starting from Maxwell's equations, with emphasis on phenomena important to nuclear engineering and radiation sciences. Solution methods for electrostatic and magnetostatic fields. Charged particle motion in those fields. Particle acceleration and focussing. Collisons with charged particles and atoms. Electromagnetic waves, wave emission by accelerated particles, Bremsstrahlung. Compton scattering. Photoionization. Elementary applications to ranging, shielding, imaging, and radiation effects. This course is a graduate level subject on electromagnetic theory with particular emphasis on basics and applications to Nuclear Science and Engineering. The basic topics covered include electrostatics, magnetostatics, and electromagnetic radiation. The applications include transmission lines, waveguides, antennas, scattering, shielding, charged particle collisions, Bremsstrahlung radiation, and Cerenkov radiation.

Subject:
Applied Science
Engineering
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Freidberg, Jeffrey
Date Added:
01/01/2005
Electromagnetic Radiation
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Students are presented with a hypothetical scenario that delivers the unit's Grand Challenge Question: To apply an understanding of nanoparticles to treat, detect and protect against skin cancer. Towards finding a solution, they begin the research phase by investigating the first research question: What is electromagnetic energy? Students learn about the electromagnetic spectrum, ultraviolet radiation (including UVA, UVB and UVC rays), photon energy, the relationship between wave frequency and energy (c = λν), as well as about the Earth's ozone-layer protection and that nanoparticles are being used for medical applications. The lecture material also includes information on photo energy and the dual particle/wave model of light. Students complete a problem set to calculate frequency and energy.

Subject:
Applied Science
Engineering
Health, Medicine and Nursing
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Amber Spolarich
Michelle Bell
Date Added:
10/14/2015
Electromagnetic Waves: How Do Sunglasses Work?
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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.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Lesson
Provider:
TeachEngineering
Provider Set:
Lessons
Author:
Adam Alster
Drew Kim
Quan Tran
Date Added:
05/30/2018
Electromagnetics, Volume 1
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CC BY-SA
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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

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Textbook
Provider:
Virginia Tech
Provider Set:
VTech Works
Author:
Steven W. Ellingson
Date Added:
07/07/2021
Electromagnetics, Volume 2
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CC BY-SA
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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

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Textbook
Provider:
Virginia Tech
Provider Set:
VTech Works
Author:
Steven W. Ellingson
Date Added:
07/07/2021
Electromagnetics and Applications, Spring 2009
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CC BY-NC-SA
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This course explores electromagnetic phenomena in modern applications, including wireless and optical communications, circuits, computer interconnects and peripherals, microwave communications and radar, antennas, sensors, micro-electromechanical systems, and power generation and transmission. Fundamentals include quasistatic and dynamic solutions to Maxwell's equations; waves, radiation, and diffraction; coupling to media and structures; guided waves; resonance; acoustic analogs; and forces, power, and energy.

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Staelin, David
Date Added:
01/01/2009
Electromagnets
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In this activity, the students will complete the grand challenge and design an electromagnet to separate steel from aluminum for the recycler. In order to do this, students compare the induced magnetic field of an electric current with the magnetic field of a permanent magnet and must make the former look like the latter. They discover that looping the current produces the desired effect and find ways to further strengthen the magnetic field.

Subject:
Applied Science
Engineering
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Justin Montenegro
Date Added:
09/18/2014
Electromechanical Dynamics, Spring 2009
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CC BY-NC-SA
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0.0 stars

First published in 1968 by John Wiley and Sons, Inc., Electromechanical Dynamics discusses the interaction of electromagnetic fields with media in motion. The subject combines classical mechanics and electromagnetic theory and provides opportunities to develop physical intuition. The book uses examples that emphasize the connections between physical reality and analytical models. Types of electromechanical interactions covered include rotating machinery, plasma dynamics, the electromechanics of biological systems, and magnetoelasticity. An accompanying solutions manual for the problems in the text is provided.

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Woodson, Herbert H.
Date Added:
01/01/2009