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03/28/2014PHY 712 Spring 2014 -- Lecture 241 PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 24: Continue reading Chap. 11 – Theory of.

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Presentation on theme: "03/28/2014PHY 712 Spring 2014 -- Lecture 241 PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 24: Continue reading Chap. 11 – Theory of."— Presentation transcript:

1 03/28/2014PHY 712 Spring 2014 -- Lecture 241 PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 24: Continue reading Chap. 11 – Theory of Special Relativity A.Transformations of the Electromagnetic Fields B.Connection to Liénard-Wiechert potentials for constant velocity sources

2 03/28/2014PHY 712 Spring 2014 -- Lecture 242

3 03/28/2014PHY 712 Spring 2014 -- Lecture 243 Velocity transformation detail from Lecture 26:

4 03/28/2014PHY 712 Spring 2014 -- Lecture 244 Special theory of relativity and Maxwell’s equations

5 03/28/2014PHY 712 Spring 2014 -- Lecture 245 More 4-vectors:

6 03/28/2014PHY 712 Spring 2014 -- Lecture 246 Lorentz transformations

7 03/28/2014PHY 712 Spring 2014 -- Lecture 247 4-vector relationships

8 03/28/2014PHY 712 Spring 2014 -- Lecture 248 Special theory of relativity and Maxwell’s equations

9 03/28/2014PHY 712 Spring 2014 -- Lecture 249 Electric and Magnetic field relationships

10 03/28/2014PHY 712 Spring 2014 -- Lecture 2410 Field strength tensor Transformation of field strength tensor

11 03/28/2014PHY 712 Spring 2014 -- Lecture 2411 Inverse transformation of field strength tensor

12 03/28/2014PHY 712 Spring 2014 -- Lecture 2412 Example: y z x y’ z’ x’ q b v

13 03/28/2014PHY 712 Spring 2014 -- Lecture 2413 Example: b y z x y’ z’ x’ q v

14 03/28/2014PHY 712 Spring 2014 -- Lecture 2414 Example: b y z x y’ z’ x’ q v Expression in terms of consistent coordinates

15 03/28/2014PHY 712 Spring 2014 -- Lecture 2415  v =10  v =2

16 03/28/2014PHY 712 Spring 2014 -- Lecture 2416 Examination of this system from the viewpoint of the the Liènard-Wiechert potentials (temporarily keeping SI units

17 03/28/2014PHY 712 Spring 2014 -- Lecture 2417 Examination of this system from the viewpoint of the the Liènard-Wiechert potentials – continued (SI units)

18 03/28/2014PHY 712 Spring 2014 -- Lecture 2418 Examination of this system from the viewpoint of the the Liènard-Wiechert potentials – continued (SI units)

19 03/28/2014PHY 712 Spring 2014 -- Lecture 2419 Examination of this system from the viewpoint of the the Liènard-Wiechert potentials – continued (Gaussian units)

20 03/28/2014PHY 712 Spring 2014 -- Lecture 2420 Examination of this system from the viewpoint of the the Liènard-Wiechert potentials – continued (Gaussian units)


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