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

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Page 37

'If in a homogenous isotropic dielectric the true charge densities are

everywhere and the electrostatic potential or the normal component of its

gradient specified on the boundary surface (or surfaces) and the potential

vanishes sufficiently ...

'If in a homogenous isotropic dielectric the true charge densities are

**given**everywhere and the electrostatic potential or the normal component of its

gradient specified on the boundary surface (or surfaces) and the potential

vanishes sufficiently ...

Page 58

As G(r, rO gives the potential at r due to unit positive charge at r', the first integral

in the right-hand side gives the potential due to the

second integral which apparently ensures that the boundary condition is ...

As G(r, rO gives the potential at r due to unit positive charge at r', the first integral

in the right-hand side gives the potential due to the

**given**charge distribution. Thesecond integral which apparently ensures that the boundary condition is ...

Page 82

The fundamental laws could be written as: (1) The torque on an elementary

magnet in a field B is

definition of B, the magnetic flux density or induction. With the

field ...

The fundamental laws could be written as: (1) The torque on an elementary

magnet in a field B is

**given**by |i x B — a relation which could also be used as adefinition of B, the magnetic flux density or induction. With the

**given**backgroundfield ...

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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