In this video David shows how to find the total electric potential at a point in space due to multiple charges. Created by David SantoPietro.
In this video David derives the formula to find the power used by a resistor. Created by David SantoPietro.
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).
This is a hands-on lab activity about the chemical composition and conductivity of water. Working in groups, learners will: conduct an experiment involving the process of electrolysis, prepare an experiment to better understand the process of ion exchange, discuss and research the "softness" and "hardness" of water, and use the periodic table to identify elements and learn their characteristics. Background information, a glossary and more is included. Materials needed for each student group include a 9-volt battery, two electrodes (e.g. copper strips, or two #2 pencils sharpened at both ends), electrical wire and glass beakers or ceramic saucers. This activity is part of the Aquarius Hands-on Laboratory Activities.
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.
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.
This course examines electric and magnetic quasistatic forms of Maxwell's equations applied to dielectric, conduction, and magnetization boundary value problems. Topics covered include: electromagnetic forces, force densities, and stress tensors, including magnetization and polarization; thermodynamics of electromagnetic fields, equations of motion, and energy conservation; applications to synchronous, induction, and commutator machines; sensors and transducers; microelectromechanical systems; propagation and stability of electromechanical waves; and charge transport phenomena.
Acknowledgments
The instructor would like to thank Thomas Larsen and Matthew Pegler for transcribing into LaTeX the homework problems, homework solutions, and exam solutions.
6.641 examines electric and magnetic quasistatic forms of Maxwell's equations applied to dielectric, conduction, and magnetization boundary value problems. Topics covered include: electromagnetic forces, force densities, and stress tensors, including magnetization and polarization; thermodynamics of electromagnetic fields, equations of motion, and energy conservation; applications to synchronous, induction, and commutator machines; sensors and transducers; microelectromechanical systems; propagation and stability of electromechanical waves; and charge transport phenomena.
Acknowledgement
The instructor would like to thank Thomas Larsen for transcribing into LaTeX selected homework problems, homework solutions, and exams.
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 6.013/ESD.013J and 6.641.
This simple demonstration shows the interaction between electricity and magnetism. Two coils of wire are held close to each other, but not touching. One is attached to a music source, such as a small radio or iPod, and the other is attached to an external speaker. Students can hear the music through the speaker even though there is no direct connection.
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.
Acknowledgments
Professor Freidberg would like to acknowledge the immense contributions made to this course by its previous instructors, Ian Hutchinson and Ron Parker.
The electromagnetic spectrum* describes the range of energies associated with different forms of electromagnetic radiation. Electromagnetic radiation travels through space as discrete packets called photons. Photons can transport energy the way particles do, but photons have no mass*. Photons vary in the amount of energy they carry. The energy associated with a photon determines where on the electromagnetic spectrum it falls.
In this activity, students construct an analytical spectroscope and analyze the spectrum produced when various substances are heated or excited with electricity. This activity is part of Unit 2 in the Space Based Astronomy guide that contains background information, worksheets, assessments, extensions, and standards.
In this activity, students study the range of colors in a visible light spectrum created from either a glass prism or holographic diffraction grating. This activity is in unit 2 of the "Space-Based Astronomy" guide that contains background information, worksheets, assessment activities, extensions, and alignment to national education standards.
In this activity, a Whiffle® ball containing a battery-operated buzzer is twirled in a circle to demonstrate the Doppler effect. The demonstration is an illustration of how stellar spectra can be used to measure a star's motion relative to Earth along the line of sight. This activity is part of Unit 2 in the Space Based Astronomy guide that contains background information, worksheets, assessments, extensions, and standards.
Using a paper and tape device, students experience how atoms and molecules of gas in Earth’s atmosphere absorb electromagnetic energy through resonance. This activity is part of Unit 2 in the Space Based Astronomy guide that contains background information, worksheets, assessments, extensions, and standards.
In this activity, students demonstrate the relationship between wave frequency and energy in the electromagnetic spectrum by shaking a rope to identify the relationships. This activity is part of Unit 2 in the Space Based Astronomy guide that contains background information, worksheets, assessments, extensions, and standards.
Electromagnetic Theory covers the basic principles of electromagnetism: experimental basis, electrostatics, magnetic fields of steady currents, motional e.m.f. and electromagnetic induction, Maxwell's equations, propagation and radiation of electromagnetic waves, electric and magnetic properties of matter, and conservation laws. This is a graduate level subject which uses appropriate mathematics but whose emphasis is on physical phenomena and principles.
6.632 is a graduate subject on electromagnetic wave theory, emphasizing mathematical approaches, problem solving, and physical interpretation. Topics covered include: waves in media, equivalence principle, duality and complementarity, Huygens' principle, Fresnel and Fraunhofer diffraction, dyadic Green's functions, Lorentz transformation, and Maxwell-Minkowski theory. Examples deal with limiting cases of Maxwell's theory and diffraction and scattering of electromagnetic waves.
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.