Statement of all four of Maxwell's Equations in completed form.

8.02

*Electricity and Magnetism*, Spring 2002

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 22 (44:57 - 51:00)
Maxwell's Equations

- Read lecture notes, page 1

Lists all of Maxwell's Equations together in both integral and differential forms; also derives the speed of light from Maxwell's Equations in vacuum.

8.02

*Physics II: Electricity and Magnetism*, Spring 2007

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

**Course Material Related to This Topic:**

- Read chapter 13, pages 5–6 of online textbook

Statement of the second of Maxwell's Equations, that there is no net magnetic flux through a closed surface.

8.02

*Electricity and Magnetism*, Spring 2002

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 14 (15:17 - 16:54)
Magnetic Gauss's Law

Definition, motivated by trying to find the magnetic field near a charging capacitor using Ampere's Law.

8.02

*Electricity and Magnetism*, Spring 2002

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 18 (0:00 - 9:58)
Displacement Current

Introduces the displacement current in the context of Ampere's Law in a charging capacitor, and states the Ampere-Maxwell Law.

8.02

*Physics II: Electricity and Magnetism*, Spring 2007

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

**Course Material Related to This Topic:**

- Read chapter 13, pages 3–5 of online textbook

Inconsistency in Ampere's Law leads to new term; calculation of displacement current; application to RC circuit; complete Maxwell's Equations.

8.022

*Electricity and Magnetism*, Fall 2004

Prof. Gabriella Sciolla

**Course Material Related to This Topic:**

Finding the magnetic field around a charging capacitor using the modified form of Ampere's Law.

8.02

*Electricity and Magnetism*, Spring 2002

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 18 (9:58 - 14:25)
Using Displacement Current

Using Maxwell-Ampere's Law to find the magnitude of the magnetic field anywhere between the plates of a charging capacitor.

8.02

*Electricity and Magnetism*, Spring 2002

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 18 (14:25 - 19:35)
Magnetic Field Between the Plates of a Capacitor

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.

8.02

*Electricity and Magnetism*, Spring 2002

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 18 (19:35 - 23:27)
Maxwell and Displacement Current

Solutions of E-field and B-field wave equations in vacuum.

8.022

*Electricity and Magnetism*, Fall 2004

Prof. Gabriella Sciolla

**Course Material Related to This Topic:**

Proof that light is an EM wave; connection with SI units; measuring c.

8.022

*Electricity and Magnetism*, Fall 2004

Prof. Gabriella Sciolla

**Course Material Related to This Topic:**

States Gauss's Law for magnetic field by analogy with Gauss's Law for electric field, using the non-existence of magnetic monopoles.

8.02

*Physics II: Electricity and Magnetism*, Spring 2007

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

**Course Material Related to This Topic:**

- Read chapter 13, pages 5–5 of online textbook

A thick wire with a narrow cut builds up charge; find the electric and magnetic fields between the ends of the wire. Solution is included after problem.

*Physics II: Electricity and Magnetism*, Spring 2007

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

**Course Material Related to This Topic:**

- Complete practice problems on pages 44–6

Find the electric and magnetic fields over time and the voltage at a point within a charging capacitor; use these to find the total stored energy. Solution is included after problem.

*Physics II: Electricity and Magnetism*, Spring 2007

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

**Course Material Related to This Topic:**

- Complete practice problems on pages 28–32

Given the electric field of a plane electromagnetic wave, find its propagation direction and the corresponding magnetic field. Solution is included after problem.

*Physics II: Electricity and Magnetism*, Spring 2007

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

**Course Material Related to This Topic:**

- Complete practice problems on pages 41–2

Characterize the circulation of magnetic field on an Amperian loop within a charging or discharging capacitor.

*Physics II: Electricity and Magnetism*, Spring 2007

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

**Course Material Related to This Topic:**

- Complete practice problems on pages 1–2

Find the electric component of an electromagnetic plane wave consistent with the given magnetic component; and vice versa.

*Physics II: Electricity and Magnetism*, Spring 2007

Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

**Course Material Related to This Topic:**

- Complete practice problems on pages 1–2

How do you know sound is not an EM wave?

8.02X

*Physics II: Electricity and Magnetism with an Experimental Focus*, Spring 2005

Dr. Peter Dourmashkin, Prof. Gunther Roland

**Course Material Related to This Topic:**

- Complete practice problem 1
- Check solution to practice problem 1

4-part problem; finding direction, λ of wave; deciding whether it can be sound or EM.

8.02X

*Physics II: Electricity and Magnetism with an Experimental Focus*, Spring 2005

Dr. Peter Dourmashkin, Prof. Gunther Roland

**Course Material Related to This Topic:**

- Complete exam problem 3
- Check solution to exam problem 3