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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