## Classical Electrodynamics |

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Page 19

42 )

shows that $ SG da ' = - 471 Js an ' Consequently the simplest allowable

boundary condition on Gy is OG } ( x , x ' ) = – for x ' on S ( 1 . 45 ) where S is the

total area of ...

42 )

**vanish**, as desired . But an application of Gauss ' s theorem to ( 1 . 39 )shows that $ SG da ' = - 471 Js an ' Consequently the simplest allowable

boundary condition on Gy is OG } ( x , x ' ) = – for x ' on S ( 1 . 45 ) where S is the

total area of ...

Page 282

(9.64) r p or - r With this condition on p it can readily be seen that the integral in (

9.63) over the hemisphere S,

that radius goes to infinity. Then we obtain the Kirchhoff integral for p(x) in region

II: ...

(9.64) r p or - r With this condition on p it can readily be seen that the integral in (

9.63) over the hemisphere S,

**vanishes**inversely as the hemisphere radius asthat radius goes to infinity. Then we obtain the Kirchhoff integral for p(x) in region

II: ...

Page 284

72 ) , involving the product ( GE ) ,

of the following easily proved identities connecting surface integrals over a

closed surface Sto volume integrals over the interior of S : A : n da = V . A d x ( n x

A ) ...

72 ) , involving the product ( GE ) ,

**vanishes**identically . To do this we make useof the following easily proved identities connecting surface integrals over a

closed surface Sto volume integrals over the interior of S : A : n da = V . A d x ( n x

A ) ...

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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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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