## Classical Electrodynamics |

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Page 16

We want to show the uniqueness of the solution of Poisson's equation, V*(p = —

47p,

conditions on the closed bounding surface S. We suppose, to the contrary, that

there exist ...

We want to show the uniqueness of the solution of Poisson's equation, V*(p = —

47p,

**inside**a volume V subject to either Dirichlet or Neumann boundaryconditions on the closed bounding surface S. We suppose, to the contrary, that

there exist ...

Page 236

Then, just as in the static case, there is no electric field

charges

instantly in response to changes in the fields, no matter how rapid, and always ...

Then, just as in the static case, there is no electric field

**inside**the conductors. Thecharges

**inside**a perfect conductor are assumed to be so mobile that they moveinstantly in response to changes in the fields, no matter how rapid, and always ...

Page 260

The axial propagation constant k must be the same

cylinder in order to satisfy boundary conditions at all points on the surface at all

times. In the usual way,

the ...

The axial propagation constant k must be the same

**inside**and outside thecylinder in order to satisfy boundary conditions at all points on the surface at all

times. In the usual way,

**inside**the dielectric cylinder the transverse Laplacian ofthe ...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

References and suggested reading | 50 |

Copyright | |

16 other sections not shown

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acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge 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 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 shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written