## Classical electrodynamics |

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Page 15

4n<J>(\ ) o(\ — x ) -| o(\ ) ax =(D(p — I — I da' JyL R J Js\- on'\R' Rdn'J If the point

x lies within the volume V, we obtain: r R 477 J.sLR dn' Sn'R < If x lies outside the

surface 5, the left-hand side of (1.36) is

4n<J>(\ ) o(\ — x ) -| o(\ ) ax =(D(p — I — I da' JyL R J Js\- on'\R' Rdn'J If the point

x lies within the volume V, we obtain: r R 477 J.sLR dn' Sn'R < If x lies outside the

surface 5, the left-hand side of (1.36) is

**zero**. [Note that this is consistent with ...Page 20

... due to an external distribution of charges so chosen as to satisfy the

homogeneous boundary conditions of

on the surface S when combined with the potential of a point charge at the source

point x'.

... due to an external distribution of charges so chosen as to satisfy the

homogeneous boundary conditions of

**zero**potential (or**zero**normal derivative)on the surface S when combined with the potential of a point charge at the source

point x'.

Page 236

... in the fields, no matter how rapid, and always produce the correct surface-

charge density 'L (capital S is used to avoid confusion with the conductivity a) : n •

D = [477]S (8.1)* in order to give

... in the fields, no matter how rapid, and always produce the correct surface-

charge density 'L (capital S is used to avoid confusion with the conductivity a) : n •

D = [477]S (8.1)* in order to give

**zero**electric field inside the perfect conductor.### What people are saying - Write a review

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

17 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic average axis behavior Bessel functions boundary conditions bremsstrahlung calculate Chapter charge density charge q charged particle classical coefficients collisions component conductor Consequently consider coordinates cross section current density cylinder defined delta function dielectric constant diffraction dimensions dipole direction discussed effects electric field electromagnetic fields electron electrostatic emitted energy loss expansion expression factor force equation frequency given Green's function impact parameter incident particle inside integral Laplace's equation limit linear Lorentz invariant Lorentz transformation macroscopic magnetic field magnetic induction magnitude Maxwell's equations meson molecules momentum multipole multipole expansion nonrelativistic obtain orbit oscillations parallel perpendicular photon plane wave plasma point charge polarization power radiated problem quantum quantum-mechanical radiative radius region relativistic result scalar scattering shown in Fig shows solid angle solution spectrum spherical surface theorem transverse vanishes vector potential wave equation wave number wavelength written zero