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PHY 415: Electromagnetic Theory I
Prof. S. Teitel: stte@pas.rochester.edu ---- Fall 2020
Unit 6
Unit 1 • Unit 2 • Unit 3 • Unit 4 • Unit 5 • Unit 6 • Unit 7 • Unit 8
Radiation and Fields from Moving Charges
November 16 to November 30
You should review the notes and videos below by November 30.
Your response to Discussion Question 6.3 is due Tuesday, November 24, at 5pm
Your response to Discussion Question 6.4 is due Tuesday, December 1, at 5pm
You solutions to Problem Set 10 are due Thursday, December 3, at 5pm
In the previous unit we discussed the propagation of electromagnetic waves, which are solutions to Maxwell's equations in the absence of any source charges or currents. In this unit we add back the sources to discuss what electromagnetic fields are produced by charges in motion. In particular we want to see that accelerated charges radiate electromagnetic waves. In this unit we will be dealing with the microscopic Maxwell's equations.
Below is a list of links to the course notes for each topic in this unit, followed by links to recorded video lectures. Following these topic-links are links to the unit Discussion Boards and the unit Problem Set.
Notes and Video Lectures
- Notes 6-1 - Green's function for the wave equation, the Liénard-Wiechert potentials
- Video 6-1.1 - The Green's function for the wave equation [54 min]
- Video 6-1.2 - The Liénard-Wiechert potentials for a moving point charge [25 min]
- Video 6-1.3 - The potentials and fields from a charge moving with constant velocity [33 min]
- Notes 6-2 - Radiation by a localized harmonically oscillating source
- Video 6-2.1 - Electric dipole contribution to the vector potential, AE1 [35 min]
- Video 6-2.2 - Magnetic dipole and electric quadrupole contributions to the vector potential, AM1 and AE2 [39 min]
- Notes 6-3 - Radiation in the electric dipole approximation
- Video 6-3.1 - Fields within the electric dipole approximation [41 min]
- Notes 6-4 - Radiation in the magnetic dipole and electric quadrupole approximations
- Video 6-4.1 - Fields within the magnetic dipole approximation [20 min]
- Video 6-4.2 - Fields within the electric quadrupole approximation [26 min]
- Notes 6-5 - Radiation from arbitrarily time varying sources and Larmor's formula
- Video 6-5.1 - Radiation from arbitrarily time varying sources and Larmor's formula [29 min]
Discussion Board for Unit 6
Use this link to post questions regarding the material in Unit 6. Questions and replies will be viewable by the entire class. To post a question, click on the Create Thread link on the top of the Disussion Board page. To get an email message whenever someone makes a post, click on the Subscribe link on the top of the Discussion Board page.
Discussion Question 6.3 - Due Tuesday, November 24, at 5pm
In the Notes 6-3 you will find Discussion Question 6.3. Use this link to post your brief response to this question. You may view responses only after you have posted your own response. To post your response, click on the Create Thread link on the top of the Discussion Board page.
Discussion Question 6.4 - Due Tuesday, November 24, at 5pm
In the Notes 6-4 you will find Discussion Question 6.4. Use this link to post your brief response to this question. You may view responses only after you have posted your own response. To post your response, click on the Create Thread link on the top of the Discussion Board page.
Problem Set 10 - Due Thursday, December 3, at 5pm
You must scan or take a photo of your solutions, collate them into a single multi-page pdf file, and upload it to Blackboard using this link.
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