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Video Clips

RealVideo®
6:03 minutes (44:57 - 51:00)
Statement of all four of Maxwell's Equations in completed form.
Relative Permeability (30:36 of video lecture 21)
Prof. Walter Lewin
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RealVideo®
1:37 minutes (15:17 - 16:54)
Statement of the second of Maxwell's Equations, that there is no net magnetic flux through a closed surface.
None
Prof. Walter Lewin
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RealVideo®
9:58 minutes (0:00 - 9:58)
Definition, motivated by trying to find the magnetic field near a charging capacitor using Ampere's Law.
Ampere's Law (beginning of video lecture 15)
Prof. Walter Lewin
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RealVideo®
4:27 minutes (9:58 - 14:25)
Finding the magnetic field around a charging capacitor using the modified form of Ampere's Law.
Displacement Current (beginning of video lecture 18)
Prof. Walter Lewin
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RealVideo®
5:10 minutes (14:25 - 19:35)
Using Maxwell-Ampere's Law to find the magnitude of the magnetic field anywhere between the plates of a charging capacitor.
Displacement Current (beginning of video lecture 18)
Prof. Walter Lewin
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RealVideo®
3:52 minutes (19:35 - 23:27)
Further discussion of Maxwell's discovery of displacement current, as well as his successful prediction of radio waves before their existence was proven by Hertz.
Displacement Current (beginning of video lecture 18)
Prof. Walter Lewin
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Practice Problems

PDF
Problem 1 to Problem 4
Two questions with answers and explanations.
None
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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PDF
Problem 1
How do you know sound is not an EM wave?
Dr. Peter Dourmashkin, Prof. Gunther Roland
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Lecture Notes

PDF
Page 2 to page 7
Inconsistency in Ampere's Law leads to new term; calculation of displacement current; application to RC circuit; complete Maxwell's Equations.
Faraday's Law
Prof. Gabriella Sciolla
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PDF
Page 7 to page 10
Solutions of E-field and B-field wave equations in vacuum.
Maxwell's Equations
Prof. Gabriella Sciolla
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PDF
Page 10 to page 12
Proof that light is an EM wave; connection with SI units; measuring c.
Wave equation solutions
Prof. Gabriella Sciolla
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PDF
Page 17 to page 35
Statement that a changing magnetic flux induces an EMF. EMF is defined with diagrams. Examples of the ways to induce an EMF: Change B, change A enclosed by the loop, change angle between B and the loop. Link to visualization demonstrating these three cases. Statement of the four Maxwell's equations (almost complete).
Induction (Pages 8-16 of presentation 20)
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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PDF
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Page 1 to page 7
Definition in terms of a time-changing E field between the plates of a capacitor. Statement of Maxwell-Ampere's Law with the addition of this displacement current.
Ampere's Law (Pages 21-26 of presentation 18)
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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PDF
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Page 8 to page 10
Statement of Gauss's Law, Faraday's Law, Magnetic Gauss's Law, and the Ampere-Maxwell Law. The Lorentz Force Law is also included.
Gauss's Law (Pages 7-22 of presentation 5), Magnetic Gauss's Law and Lorentz Force (Pages 1-31 of presentation 14), Ampere's Law (Pages 21-26 of presentation 18), and Faraday's Law (Pages 17-35 of presentation 20)
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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PDF
#
Page 4 to page 8
Brief statement of Maxwell's Equations and review of symmetries used for Gauss's Law, Ampere's Law, and Faraday's Law.
Maxwell's Equations (Pages 8-10 of presentation 28)
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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PDF
#
Page 24 to page 26
Brief statement of equations for displacement current in E field of a capacitor and the Poynting vector.
Material is from presentation 28.
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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PDF
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Page 5 to page 13
Statement of all of Maxwell's Equations, plus Lenz's Law and displacement current. Includes diagrams of the symmetries used in applying Gauss's Law and Ampere's Law.
Gauss's Law (Pages 7-22 of presentation 5), Magnetic Gauss's Law and Lorentz Force (Pages 1-31 of presentation 14), Ampere's Law (Pages 21-26 of presentation 18), and Faraday's Law (Pages 17-35 of presentation 20)
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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PDF
Page 1
Statement of the four Maxwell's Equations.
Gauss's Law (R9), Ampere's Law (R18), and Faraday's Law (R20)
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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PDF
Page 1
Maxwell's four equations in complete form.
Maxwell's Equations (44:57 of video lecture 22)
Prof. Walter Lewin
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Online Textbook Chapter

PDF
Page 3 to page 6
Displacement current motivated and defined; Gauss's Law for magnetism; equations in differential and integral form.
Ampere's Law
Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Exam Questions

PDF
Problem 3
4-part problem; finding direction, λ of wave; deciding whether it can be sound or EM.
Dr. Peter Dourmashkin, Prof. Gunther Roland
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