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

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Page 50

These functions are called Bessel functions and have been normalized by the

condition that the

independent solution of Bessel's equation for integral n but that diverges at x = 0.

We write the ...

These functions are called Bessel functions and have been normalized by the

condition that the

**coefficient**of jr" is 1/(2" n!). There is another linearlyindependent solution of Bessel's equation for integral n but that diverges at x = 0.

We write the ...

Page 138

To find the reflection

conditions. For simplicity wc consider the incidence to be normal — so that

consistent with (35) and (36) z = 0 defines the boundary plane. The incident, the

reflected ...

To find the reflection

**coefficient**, wc must, as previously, use the boundaryconditions. For simplicity wc consider the incidence to be normal — so that

consistent with (35) and (36) z = 0 defines the boundary plane. The incident, the

reflected ...

Page 140

a course of lectures A. K. Raychaudhuri. 2nNq2b bo=- , : or+6 to The reflection

two limiting cases — in the first case of fairly long wave lengths, the polarization ...

a course of lectures A. K. Raychaudhuri. 2nNq2b bo=- , : or+6 to The reflection

**coefficient**is thus still given by (48) (»-H)2+a2 - * %4HJ»*rf (51) We may considertwo limiting cases — in the first case of fairly long wave lengths, the polarization ...

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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