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

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Page 34

equation (1) is that the volume dipole distribution is equivalent to a

distribution of charge PR (Pn being the component of P in the direction of the

outward ...

equation (1) is that the volume dipole distribution is equivalent to a

**charge****density**-VP throughout the space occupied by the dielectric along with a surfacedistribution of charge PR (Pn being the component of P in the direction of the

outward ...

Page 54

(a2 + r2-2arcose)3/2 £(a2 + r-2ar cos0) *a\ 02 a (a2+r2-2arcos0)3/2 The

2 2r 3/2 (1 + r/a2- —cos 0) The second term in the above expression is ...

(a2 + r2-2arcose)3/2 £(a2 + r-2ar cos0) *a\ 02 a (a2+r2-2arcos0)3/2 The

**charge****density**on the sphere at an angle 0 to OP is therefore Q-( q Q-rW) 4na2 + 4na2 ,2 2r 3/2 (1 + r/a2- —cos 0) The second term in the above expression is ...

Page 65

Electrostatic forces being derivable from a potential — one can associate a

potential energy with charges moving under ... 8pdu to the volume element dv, so

as to increase the

Electrostatic forces being derivable from a potential — one can associate a

potential energy with charges moving under ... 8pdu to the volume element dv, so

as to increase the

**charge density**there from p to p + 8p the work done is 05pdu, ...### What people are saying - Write a review

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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