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PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 22:

PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 22: Comments on Mid-Term Exam Start reading Chap. 11 Equations in cgs (Gaussian) units Special theory of relativity Lorentz transformation relations. Comments on Mid-Term Exam. F. r. E.

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PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 22:

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  1. PHY 712 Electrodynamics • 10-10:50 AM MWF Olin 107 • Plan for Lecture 22: • Comments on Mid-Term Exam • Start reading Chap. 11 • Equations in cgs (Gaussian) units • Special theory of relativity • Lorentz transformation relations PHY 712 Spring 2014 -- Lecture 22

  2. PHY 712 Spring 2014 -- Lecture 22

  3. Comments on Mid-Term Exam PHY 712 Spring 2014 -- Lecture 22

  4. F r E PHY 712 Spring 2014 -- Lecture 22

  5. PHY 712 Spring 2014 -- Lecture 22

  6. Recall from Lecture 4: Green’s function for 3-d Poisson equation in Cartesian coordinates: PHY 712 Spring 2014 -- Lecture 22

  7. PHY 712 Spring 2014 -- Lecture 22

  8. 1 2 3 4 5 6 PHY 712 Spring 2014 -- Lecture 22

  9. 1 2 3 4 5 6 PHY 712 Spring 2014 -- Lecture 22

  10. 1 2 3 4 5 6 PHY 712 Spring 2014 -- Lecture 22

  11. 1 2 3 4 5 6 PHY 712 Spring 2014 -- Lecture 22

  12. 1 2 3 4 5 6 PHY 712 Spring 2014 -- Lecture 22

  13. 1 2 3 4 5 6 PHY 712 Spring 2014 -- Lecture 22

  14. PHY 712 Spring 2014 -- Lecture 22

  15. PHY 712 Spring 2014 -- Lecture 22

  16. PHY 712 Spring 2014 -- Lecture 22

  17. PHY 712 Spring 2014 -- Lecture 22

  18. PHY 712 Spring 2014 -- Lecture 22

  19. Notions of special relativity • The basic laws of physics are the same in all frames of reference (at rest or moving at constant velocity). • The speed of light in vacuum c is the same in all frames of reference. y’ y v x x’ y’ x’ y x PHY 712 Spring 2014 -- Lecture 22

  20. Lorentz transformations y’ y v x x’ y’ x’ y x PHY 712 Spring 2014 -- Lecture 22

  21. Lorentz transformations -- continued PHY 712 Spring 2014 -- Lecture 22

  22. Examples of other 4-vectors applicable to the Lorentz transformation: PHY 712 Spring 2014 -- Lecture 22

  23. The Doppler Effect PHY 712 Spring 2014 -- Lecture 22

  24. The Doppler Effect -- continued y’ y k’ v k x’ x PHY 712 Spring 2014 -- Lecture 22

  25. Electromagnetic Doppler Effect (q=0) Sound Doppler Effect (q=0) PHY 712 Spring 2014 -- Lecture 22

  26. Lorentz transformation of the velocity For an infinitesimal increment: PHY 712 Spring 2014 -- Lecture 22

  27. Lorentz transformation of the velocity -- continued PHY 712 Spring 2014 -- Lecture 22

  28. Example of velocity variation with b: ux/c uy/c PHY 712 Spring 2014 -- Lecture 22

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