## Classical Electrodynamics |

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Page 369

In Galilean relativity

under Galilean transformations the infinitesimal elements of distance and time

are separately invariant . Thus ds2 = dx2 + dyż + dz2 = ds2 ( 11 . 59 ) dt ?

In Galilean relativity

**space**and time coordinates are unconnected . Consequentlyunder Galilean transformations the infinitesimal elements of distance and time

are separately invariant . Thus ds2 = dx2 + dyż + dz2 = ds2 ( 11 . 59 ) dt ?

Page 370

63 ) 12 – 11 = J , T _ • * T ? where t , and t , are the corresponding times in K .

Another fruitful concept in special relativity is the idea of the light cone and "

11 .

63 ) 12 – 11 = J , T _ • * T ? where t , and t , are the corresponding times in K .

Another fruitful concept in special relativity is the idea of the light cone and "

**space**- like ” and “ time - like " separations between two events . Consider Fig .11 .

Page 384

128 ) The right - hand side of ( 11 . 128 ) is evidently the

- vector . Hence f must be the

= - Fundo ( 11 . 129 ) To see the meaning of the fourth component of the force ...

128 ) The right - hand side of ( 11 . 128 ) is evidently the

**space**components of a 4- vector . Hence f must be the

**space**part of a 4 - vector fu = ( 1 , 1 - 2 ) , where : fu= - Fundo ( 11 . 129 ) To see the meaning of the fourth component of the force ...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

RelativisticParticle Kinematics and Dynamics | 391 |

Copyright | |

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acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved light limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means modes momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative relativistic result satisfy scalar scattering shown in Fig shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written