## Classical Electrodynamics |

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Page 406

Since the Lagrangian must be a function of velocities and coordinates , we write

the free - particle equation of

v2 / co ) ] - " . At the least sophisticated level we know that the Lagrangian L must

...

Since the Lagrangian must be a function of velocities and coordinates , we write

the free - particle equation of

**motion**as " ( ymv ) = 0 ( 12 . 67 ) dt where y = [ 1 – (v2 / co ) ] - " . At the least sophisticated level we know that the Lagrangian L must

...

Page 578

But the treatment is a stepwise one - first the

external field is determined , neglecting the emission of radiation ; then the

radiation is calculated from the trajectory as a given source distribution . It is

evident ...

But the treatment is a stepwise one - first the

**motion**of the charged particle in anexternal field is determined , neglecting the emission of radiation ; then the

radiation is calculated from the trajectory as a given source distribution . It is

evident ...

Page 581

Since wo - 1 is a time appropriate to the mechanical

the relevant mechanical time interval is long compared to the characteristic time =

( 17 . 3 ) , radiative reaction effects on the

Since wo - 1 is a time appropriate to the mechanical

**motion**, again we see that , ifthe relevant mechanical time interval is long compared to the characteristic time =

( 17 . 3 ) , radiative reaction effects on the

**motion**will be unimportant .### What people are saying - Write a review

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### Contents

Introduction to Electrostatics | 1 |

References and suggested reading | 50 |

Multipoles Electrostatics of Macroscopic Media | 98 |

Copyright | |

10 other sections not shown

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### Common terms and phrases

acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle classical coefficients 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 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