Classical Electrodynamics |
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Page 19
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 ...
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, vanishes inversely as the hemisphere radius as
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 as
that radius goes to infinity. Then we obtain the Kirchhoff integral for p(x) in region
II: ...
Page 284
72 ) , involving the product ( GE ) , vanishes identically . To do this we make use
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 use
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 ) ...
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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
Bibliographic information
| Title | Classical Electrodynamics |
| Author | John David Jackson |
| Publisher | Wiley, 1963 |
| Length | 641 pages |
| Export Citation | BiBTeX EndNote RefMan |