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

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Page 28

The /= 1 condition is consistent with m = 0, + 1, - 1 and using the values of the

relevant P"'s we get three terms: (choosing the

0 cosy, -7 sin 0 sin y Obviously the three terms correspond to dipolcs in three ...

The /= 1 condition is consistent with m = 0, + 1, - 1 and using the values of the

relevant P"'s we get three terms: (choosing the

**zero**of y suitably): 75- cos 0, -frsin0 cosy, -7 sin 0 sin y Obviously the three terms correspond to dipolcs in three ...

Page 51

Case of a point charge in front of an infinite conducting plane The charge q is at a

distance r from the infinite place AOA' which is at

function 0 will satisfy the equation V20= - 4n<7 5(r - OP) (we are taking the origin

...

Case of a point charge in front of an infinite conducting plane The charge q is at a

distance r from the infinite place AOA' which is at

**zero**potential. The potentialfunction 0 will satisfy the equation V20= - 4n<7 5(r - OP) (we are taking the origin

...

Page 219

Ze2 e 2 sine 3 m 7*r u <JT cos 4 ^ 4k2p2v2\i/2 (* ♢«£££) Ze2 e 2sin0 d T /2npv\-]

— m ?7 u 3F L •V « /J where ^0 (*) is tnc Hankel function of

have already come across this function in the last chapter. We recall K0 (x) ...

Ze2 e 2 sine 3 m 7*r u <JT cos 4 ^ 4k2p2v2\i/2 (* ♢«£££) Ze2 e 2sin0 d T /2npv\-]

— m ?7 u 3F L •V « /J where ^0 (*) is tnc Hankel function of

**zero**order and wehave already come across this function in the last chapter. We recall K0 (x) ...

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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