## Classical Electrodynamics |

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Page 3

In one dimension, the

improper function having the properties: (1) 6(x - a) = 0 for x + a, and (2) I d(x — a

) dx = 1 if the region of integration includes x = a, and is zero otherwise. The delta

...

In one dimension, the

**delta function**, written <5(x — a), is a mathematicallyimproper function having the properties: (1) 6(x - a) = 0 for x + a, and (2) I d(x — a

) dx = 1 if the region of integration includes x = a, and is zero otherwise. The delta

...

Page 4

From the definitions above it is evident that, for an arbitrary function /(x), (3) I /(*) d

(x - a) dx =/(a), and (4) f f(x) 6'(x -a)dx= -f'(a), where a prime denotes

differentiation with respect to the argument. If the

a function ...

From the definitions above it is evident that, for an arbitrary function /(x), (3) I /(*) d

(x - a) dx =/(a), and (4) f f(x) 6'(x -a)dx= -f'(a), where a prime denotes

differentiation with respect to the argument. If the

**delta function**has as argumenta function ...

Page 37

In terms of spherical coordinates centered at the center of inversion the charge

density can be written p(r, 6, f) = «i<5(Q - Q,) d(r - r,.) i r' where d(R — Q,) is the

angular

...

In terms of spherical coordinates centered at the center of inversion the charge

density can be written p(r, 6, f) = «i<5(Q - Q,) d(r - r,.) i r' where d(R — Q,) is the

angular

**delta function**whose integral over solid angle gives unity, and d(r — r() is...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

RelativisticParticle Kinematics and Dynamics | 391 |

Copyright | |

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### Common terms and phrases

acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved light limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means modes momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative relativistic result satisfy scalar scattering shown in Fig shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written