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

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Page 284

Thus as the electron radiates, it must be experiencing a retarding force which we

call the

energy that the work done by the

Thus as the electron radiates, it must be experiencing a retarding force which we

call the

**radiation reaction**. We would expect from the principle of conservation ofenergy that the work done by the

**radiation reaction**exactly accounts for the loss ...Page 291

vanishing, the

with uniform acceleration would not radiate ? (Note that in arriving at the

expression of

...

vanishing, the

**radiation reaction**vanishes. Does it indicate that a charge movingwith uniform acceleration would not radiate ? (Note that in arriving at the

expression of

**radiation reaction**from the energy conservation principle wc had to...

Page 292

One, therefore, feels that the validity of the

limitations. Another puzzling feature of the

of the so-called run-away solutions. The equation of motion of a free electron is .

One, therefore, feels that the validity of the

**radiation reaction**term has somelimitations. Another puzzling feature of the

**radiation reaction**term is the existenceof the so-called run-away solutions. The equation of motion of a free electron is .

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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