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

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Page 21

Green's theorem in vector calculus If one takes for the vector A, A = \|/V0 then

Gauss's theorem gives J [yV20 + V\|/V0] da = (j)y V0-ds (8) As in the above y and

0 are arbitrary scalars, we may interchange them to

Green's theorem in vector calculus If one takes for the vector A, A = \|/V0 then

Gauss's theorem gives J [yV20 + V\|/V0] da = (j)y V0-ds (8) As in the above y and

0 are arbitrary scalars, we may interchange them to

**obtain**J [0V2 v + V0- ...Page 118

The waves are apparently non-dispersive but that is only because we have not

so far considered the possible dependence of the dielectric constant on

frequency of the incident electric field. We may

equation for ...

The waves are apparently non-dispersive but that is only because we have not

so far considered the possible dependence of the dielectric constant on

frequency of the incident electric field. We may

**obtain**an exactly similar waveequation for ...

Page 276

To

and g = mvk. The first equation, so

simply the conservation of the particle number. One can

charge ...

To

**obtain**the so-called first two moment equations we take successively g = 1and g = mvk. The first equation, so

**obtained**, is 37+5f<i*>-o (io) which indicatessimply the conservation of the particle number. One can

**obtain**from this thecharge ...

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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