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

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Page 38

are supposing that the potential vanishes sufficiently rapidly to ensure the

vanishing of some integrals over the

discussion. (This condition is relevant only if the domain under consideration is

not ...

are supposing that the potential vanishes sufficiently rapidly to ensure the

vanishing of some integrals over the

**sphere at infinity**which will arise in ourdiscussion. (This condition is relevant only if the domain under consideration is

not ...

Page 52

Case of conducting sphere The spherical conductor of radius a is insulated and

carries a charge Fig. 2 Q. There is a point charge q placed at a distance r from the

centre of the sphere. Consider the domain bounded by the

Case of conducting sphere The spherical conductor of radius a is insulated and

carries a charge Fig. 2 Q. There is a point charge q placed at a distance r from the

centre of the sphere. Consider the domain bounded by the

**sphere at infinity**...Page 195

The fields E and B both show a R ~ 2 dependence, hence the Poynting vector

would vary as R 4 If now we consider the flux through the

surface integral J S.ds would vanish as R - 2. The rather shaky point in the

argument ...

The fields E and B both show a R ~ 2 dependence, hence the Poynting vector

would vary as R 4 If now we consider the flux through the

**sphere at infinity**, thesurface integral J S.ds would vanish as R - 2. The rather shaky point in the

argument ...

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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