## Classical theory of electricity and magnetism: a course of lectures |

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Page 214

4itc3 " It is of some interest to calculate the ratio of the energy loss in a period to

the

provided u/c «1. If the radiating particle be an electron, the ratio is ~ r0to/c where

...

4itc3 " It is of some interest to calculate the ratio of the energy loss in a period to

the

**kinetic**energy of the particle. It is e2 2n i /l \ e2a>. /. (J"«2***). 3 c3 to / \2 / mc*provided u/c «1. If the radiating particle be an electron, the ratio is ~ r0to/c where

...

Page 250

... electric field having components in directions normal to the z-direction (the

direction of the magnetic field) causes an increase of

particles — the increase as the particle goes once round the Larmor orbit being

2nAfl° , e r.

... electric field having components in directions normal to the z-direction (the

direction of the magnetic field) causes an increase of

**kinetic**energy of theparticles — the increase as the particle goes once round the Larmor orbit being

2nAfl° , e r.

Page 274

One can now adopt the

function and use Boltzmann's equation. If /(r, \,t)drd\ denote the number of

particles in the spatial volume lying between r and r + dr, having velocities in the

range v to v ...

One can now adopt the

**kinetic**theory approach of introducing a distributionfunction and use Boltzmann's equation. If /(r, \,t)drd\ denote the number of

particles in the spatial volume lying between r and r + dr, having velocities in the

range v to v ...

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### Contents

The empirical basis of electrostatics | 1 |

Direct calculation of fields | 7 |

dipoles9 The Dirac 5function13 | 13 |

Copyright | |

23 other sections not shown

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acceleration angle angular axis boundary conditions calculate called centre charge density charge distribution charged particle coefficient coil components conducting conductor consider coordinates dielectric constant differential dipole direction distance divergence electric and magnetic electric field electromagnetic field electromotive force electron electrostatic energy flux equation 16 expression field due field point finite fluid formula Fourier frame frequency function given gives Hence incident infinite interaction isotropic Laplace's equation linear Lorentz transformation magnetic field magnitude Maxwell's equations medium molecule momentum motion number density obtain orthogonal oscillations permanent magnets perpendicular photon plane plasma point charge polarization potential due Poynting vector radiation field radiation reaction radius refractive index region relation result satisfied scalar shows sin2 solution special theory sphere at infinity spherical surface integral symmetry tensor term theorem theory of relativity transverse uniform vanishes vector potential velocity volume wave length write zero