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

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Page 23

Show that the total charge in the field is zero, nonzero finite, infinite according as

the potential vanishes more rapidly than, behaves as 1/r or does not vanish as>

goes to infinity. 2. Calculate the

Show that the total charge in the field is zero, nonzero finite, infinite according as

the potential vanishes more rapidly than, behaves as 1/r or does not vanish as>

goes to infinity. 2. Calculate the

**charge distribution**for the potential 0 = e""r /r. 3.Page 81

normal outward force of magnitude 2nct2/6 per unit area, where a is the surface

density of the"

spherically symmetric

that the ...

normal outward force of magnitude 2nct2/6 per unit area, where a is the surface

density of the"

**charge**at the point Problems 1. Calculate the energy of aspherically symmetric

**distribution**of**charge**of uniform density (a) by consideringthat the ...

Page 319

absorption (of radiation), 231,233 accelerated charge field (see under

electromagnetic field) adiabatic invariants, 250 Alfven ... 8 field of distribution of, 9

-13,22,33 interaction between, 8 moment for

function, 13 ...

absorption (of radiation), 231,233 accelerated charge field (see under

electromagnetic field) adiabatic invariants, 250 Alfven ... 8 field of distribution of, 9

-13,22,33 interaction between, 8 moment for

**charge distribution**, 25 Dirac 8-function, 13 ...

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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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### Common terms and phrases

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