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

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Page 221

1 Cerenkov radiation An electron moving with uniform

medium can emit electromagnetic radiation if its

electromagnetic waves in the medium. This radiation is called Cerenkov radiation

and ...

1 Cerenkov radiation An electron moving with uniform

**velocity**in a dielectricmedium can emit electromagnetic radiation if its

**velocity**exceeds the**velocity**ofelectromagnetic waves in the medium. This radiation is called Cerenkov radiation

and ...

Page 277

We introduce a

hypothetical continuous fluid made up of the discrete particles. Writing ot = uk + V

where Vk is the 'random part' of ihe particle

We introduce a

**velocity**vector u such that <ot> = u,,u( indicates the**velocity**of thehypothetical continuous fluid made up of the discrete particles. Writing ot = uk + V

where Vk is the 'random part' of ihe particle

**velocity**so that <Vk> = 0 we have ...Page 291

His results may be given in cylindrical coordinates (p, 0, z, t) (a2 +«2-p2-z2)

where q2 = 4a2p2 + (a2 +t2-p2-z2)2 1 and the trajectory of the particle is 2 = + (

a2 + t2)2 (units are chosen such that the

the ...

His results may be given in cylindrical coordinates (p, 0, z, t) (a2 +«2-p2-z2)

where q2 = 4a2p2 + (a2 +t2-p2-z2)2 1 and the trajectory of the particle is 2 = + (

a2 + t2)2 (units are chosen such that the

**velocity**of light is unity). As at t = 0 (i.e.the ...

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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