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

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Page 92

Further in the absence of magnets and materia1 media, this can be written V x I)

= 0 and we can regard B as the gradient of a scalar potential function 0m i.e. B = -

V0„

Further in the absence of magnets and materia1 media, this can be written V x I)

= 0 and we can regard B as the gradient of a scalar potential function 0m i.e. B = -

V0„

**Hence**for a closed loop of wire carrying current / (the thickness of the wire ...Page 164

(ffii«, + OT3/I3) (/w,«,c32+ ff^c,2) = c22 (29)

point of a ray are x, y. z ; 1 2 m, = x /(x2 + y2 + z2) etc and

xnicz2+ zn3cx2) (xn\ + zn3) - c22 (x2 + y: + z2 ). This equation represents a cone.

Thus ...

(ffii«, + OT3/I3) (/w,«,c32+ ff^c,2) = c22 (29)

**Hence**if the coordinates of the endpoint of a ray are x, y. z ; 1 2 m, = x /(x2 + y2 + z2) etc and

**hence**from (29) (xnicz2+ zn3cx2) (xn\ + zn3) - c22 (x2 + y: + z2 ). This equation represents a cone.

Thus ...

Page 181

The integrand is ninJiXt which is equal to nk njkxi' —

while the integrand in the second integral is identical with the integral in equation

(15) of Chapter 8 and

The integrand is ninJiXt which is equal to nk njkxi' —

**hence**the symmetry followswhile the integrand in the second integral is identical with the integral in equation

(15) of Chapter 8 and

**hence**considering the antisymmetric part only we get yj ...### What people are saying - Write a review

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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