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

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Page 168

We shall find the solution of this type of equations in three steps: (i) Eliminate the

time dependence from the equations. This will be done by using the

transform method. (ii) Solve the resulting equation by finding the Green's function.

We shall find the solution of this type of equations in three steps: (i) Eliminate the

time dependence from the equations. This will be done by using the

**Fourier**transform method. (ii) Solve the resulting equation by finding the Green's function.

Page 169

The Dirac delta function can be represented as a

13a) and we have the reciprocal relation 1 = | e*xh(x)dx (13b ) (Note that g(<o) is

not a function of t ; in (12) t is a dummy variable.) In view of equations (11) and ...

The Dirac delta function can be represented as a

**Fourier**integral 8W = ^ je^dk (13a) and we have the reciprocal relation 1 = | e*xh(x)dx (13b ) (Note that g(<o) is

not a function of t ; in (12) t is a dummy variable.) In view of equations (11) and ...

Page 198

... (or proton or a-particle) may be regarded as equivalent to a pulse of radiation.

This analogy was first pointed out by Fermi and exploited in numerous cases by

Weiszacker and Williams. To see how the method works, we perform a

... (or proton or a-particle) may be regarded as equivalent to a pulse of radiation.

This analogy was first pointed out by Fermi and exploited in numerous cases by

Weiszacker and Williams. To see how the method works, we perform a

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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