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

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Comments on Mid-Term Exam

PHY 712 Spring 2014 -- Lecture 22

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F

r

E

PHY 712 Spring 2014 -- Lecture 22

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Recall from Lecture 4: Green’s function for 3-d Poisson equation in Cartesian coordinates:

PHY 712 Spring 2014 -- Lecture 22

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PHY 712 Spring 2014 -- Lecture 22

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PHY 712 Spring 2014 -- Lecture 22

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PHY 712 Spring 2014 -- Lecture 22

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PHY 712 Spring 2014 -- Lecture 22

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PHY 712 Spring 2014 -- Lecture 22

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PHY 712 Spring 2014 -- Lecture 22

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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

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Lorentz transformations

y’

y

v

x

x’

y’

x’

y

x

PHY 712 Spring 2014 -- Lecture 22

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Lorentz transformations -- continued

PHY 712 Spring 2014 -- Lecture 22

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Examples of other 4-vectors

applicable to the Lorentz transformation:

PHY 712 Spring 2014 -- Lecture 22

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The Doppler Effect

PHY 712 Spring 2014 -- Lecture 22

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The Doppler Effect -- continued

y’

y

k’

v

k

x’

x

PHY 712 Spring 2014 -- Lecture 22

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Electromagnetic Doppler Effect (q=0)

Sound Doppler Effect (q=0)

PHY 712 Spring 2014 -- Lecture 22

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Lorentz transformation of the velocity

For an infinitesimal increment:

PHY 712 Spring 2014 -- Lecture 22

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Example of velocity variation with b:

ux/c

uy/c

PHY 712 Spring 2014 -- Lecture 22