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 transcript:

03/28/2014PHY 712 Spring 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

03/28/2014PHY 712 Spring Lecture 242

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

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

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

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

03/28/2014PHY 712 Spring Lecture vector relationships

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

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

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

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

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

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

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

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

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

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

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

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

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