Classical Theory of Electricity and Magnetism: (a Course of Lectures) |
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... theorem . Equations of Laplace and Poisson 17 Flux and Gauss's theorem - 17 , Field due to uniformly charged sphere - 18 , infinite cylinder and plane - 18-19 , Equations of Laplace and Poisson - 20 , Green's theorem - 21 , Earnshaw's ...
... theorem . Equations of Laplace and Poisson 17 Flux and Gauss's theorem - 17 , Field due to uniformly charged sphere - 18 , infinite cylinder and plane - 18-19 , Equations of Laplace and Poisson - 20 , Green's theorem - 21 , Earnshaw's ...
Page 21
... theorem in vector calculus If one takes for the vector A , A = Vø then Gauss's theorem gives [ [ ¥ V2ø + V ¥ Vø ] dv = ¶wVøds ( 8 ) As in the above y andø are arbitrary scalars , we may interchange them to obtain [ [ øV2 y + Vø · V ...
... theorem in vector calculus If one takes for the vector A , A = Vø then Gauss's theorem gives [ [ ¥ V2ø + V ¥ Vø ] dv = ¶wVøds ( 8 ) As in the above y andø are arbitrary scalars , we may interchange them to obtain [ [ øV2 y + Vø · V ...
Page 22
... theorem We consider a sphere S of radius a and with its centre at the origin . We get from Green's theorem [ øv2 ( ÷ ) du- [ ÷ Vodu = $ ___ øv ( - ) · ds - Veds P -- V2ødv = ¶ Iri = a ØD As we have ... theorem-21, Earnshaw's theorem-22.
... theorem We consider a sphere S of radius a and with its centre at the origin . We get from Green's theorem [ øv2 ( ÷ ) du- [ ÷ Vodu = $ ___ øv ( - ) · ds - Veds P -- V2ødv = ¶ Iri = a ØD As we have ... theorem-21, Earnshaw's theorem-22.
Contents
The empirical basis of electrostatics | 1 |
Direct calculation of fields | 7 |
dipoles9 The Dirac 8function13 | 13 |
Copyright | |
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angle angular axes axis B₁ boundary conditions calculate called charge density charged particle coil components conductor consider coordinates cos² cose dielectric constant dipole dipole moment direction distance E₁ electric field electromagnetic field electromotive force electron electrostatic equation 16 expression field due field point finite fluid formula frame frequency function gives Hence incident interaction Laplace's equation linear Lorentz Lorentz transformation magnetic field magnitude Maxwell's equations momentum motion normal obtain orthogonal P₁ permanent magnets perpendicular photon plane plasma point charge polarization Poynting vector R₁ radiation field radiation reaction radius refracted region scalar sin² solution spherical surface integral symmetry tensor term theorem theory of relativity transformation transverse uniform vanishes vector potential velocity wave length Απ дв дг ді дх