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

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Page 51

The potential function 0 will

taking the origin at 0 and the *-axis along OP) and the boundary condition is that

it vanishes everywhere on the plane AA' and the sphere at infinity. Now con-sider

a ...

The potential function 0 will

**satisfy**the equation V20= - 4n<7 5(r - OP) (we aretaking the origin at 0 and the *-axis along OP) and the boundary condition is that

it vanishes everywhere on the plane AA' and the sphere at infinity. Now con-sider

a ...

Page 115

Equation (2) on taking the divergence gives 57- (V-B) = 0 (7) Equation (7) shows

that if at a particular instant of time (3) is

automatically

...

Equation (2) on taking the divergence gives 57- (V-B) = 0 (7) Equation (7) shows

that if at a particular instant of time (3) is

**satisfied**everywhere in space, it will beautomatically

**satisfied**at all subsequent instants everywhere. Thus (3) becomes...

Page 162

iPi \Pi Pi / PiPi \P\ Pi / Pi Pi \P2 P\ J «i2 n^2 «32 PiPi or «l2 n22 «32 ,„~ ' = = ' (22)

Pi2(P2~Pi ) Pi2 (Pi - />1 ) P3 2 (Pi -Pi ) This last equation cannot be

the. denominators cannot all be of the same sign. However, the equation has ...

iPi \Pi Pi / PiPi \P\ Pi / Pi Pi \P2 P\ J «i2 n^2 «32 PiPi or «l2 n22 «32 ,„~ ' = = ' (22)

Pi2(P2~Pi ) Pi2 (Pi - />1 ) P3 2 (Pi -Pi ) This last equation cannot be

**satisfied**asthe. denominators cannot all be of the same sign. However, the equation has ...

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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