Classical ElectrodynamicsProblems after each chapter |
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Page 16
We want to show the uniqueness of the solution of Poisson's equation , V20 = -47 p , inside a volume V subject to either ... to the contrary , that there exist two solutions 0 , and 0 , satisfying the same boundary conditions .
We want to show the uniqueness of the solution of Poisson's equation , V20 = -47 p , inside a volume V subject to either ... to the contrary , that there exist two solutions 0 , and 0 , satisfying the same boundary conditions .
Page 17
Dirichlet Open surface Not enough Not enough Unique , stable solution in one direction Too much Closed surface Too much Unique , stable solution Neumann Open surface Not enough Not enough Unique , stable solution in one direction Too ...
Dirichlet Open surface Not enough Not enough Unique , stable solution in one direction Too much Closed surface Too much Unique , stable solution Neumann Open surface Not enough Not enough Unique , stable solution in one direction Too ...
Page 81
Whereas the expansion for a single sphere is most easily obtained from the image solution , the general result ( 3.125 ) for a spherical shell is rather difficult to obtain by the method of images , since it involves an infinite set of ...
Whereas the expansion for a single sphere is most easily obtained from the image solution , the general result ( 3.125 ) for a spherical shell is rather difficult to obtain by the method of images , since it involves an infinite set of ...
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Contents
Introduction to Electrostatics | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
TimeVarying Fields Maxwells Equations Con | 169 |
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 shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written