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

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Page 121

The general stress

electrostatics that consistent with the requirement of field theory, force in

electrostatics may be represented as derived from surface forces — the so-called

Maxwell stress ...

The general stress

**tensor**and momentum of radiation We have seen inelectrostatics that consistent with the requirement of field theory, force in

electrostatics may be represented as derived from surface forces — the so-called

Maxwell stress ...

Page 315

The canonical energy stress

canonical

canonical

The canonical energy stress

**tensor**is defined by so that in the present case Thiscanonical

**tensor**obeys the conservation principle T1^^ p „ = 0 if y = 0 but uVcanonical

**tensor**is not symmetric. This would not be consic*cnt with angular ...Page 316

(10) The symmetric

potential vector and it is therefore gauge invariant. In case the field is not source

free, the divergence of (10) yields T\„-/«f» (11) Equation (11) leads to the

equation ...

(10) The symmetric

**tensor**involves the field**tensor**F^v only as distinct from thepotential vector and it is therefore gauge invariant. In case the field is not source

free, the divergence of (10) yields T\„-/«f» (11) Equation (11) leads to the

equation ...

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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