Classical Electrodynamics |
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Page 19
... (1.42) vanishes and the solution is q}(x) –s. p(x')Go(x, x') dor' — # fox) 3GD da'
1.44 on' (1.44) For Neumann boundary ... to be 39s G. x') = 0 for x' on S on' since
that makes the second term in the surface integral in (1.42) vanish, as desired.
... (1.42) vanishes and the solution is q}(x) –s. p(x')Go(x, x') dor' — # fox) 3GD da'
1.44 on' (1.44) For Neumann boundary ... to be 39s G. x') = 0 for x' on S on' since
that makes the second term in the surface integral in (1.42) vanish, as desired.
Page 282
(9.64) 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:
irre 1 ...
(9.64) 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:
irre 1 ...
Page 284
... three terms in (9.72), 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 S to volume integrals over the interior of S: f A n
da -s v.
... three terms in (9.72), 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 S to volume integrals over the interior of S: f A n
da -s v.
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Contents
Introduction to Electrostatics | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Multipoles Electrostatics of Macroscopic Media | 98 |
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 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 |