Classical Theory of Electricity and Magnetism: (a Course of Lectures) |
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Page 35
... D ds = 4 × ( total true charge inside the surface ) ( 9 ) ( 10 ) Boundary conditions to be satisfied at the interface of two different dielectrics Before obtaining the boundary conditions by the conventional procedure , we enunciate a ...
... D ds = 4 × ( total true charge inside the surface ) ( 9 ) ( 10 ) Boundary conditions to be satisfied at the interface of two different dielectrics Before obtaining the boundary conditions by the conventional procedure , we enunciate a ...
Page 60
... 2 Hence from ( 8 ) , the potential at any point ( r ) is given by ( for r > a ) Ø ( r ) = 4√ Ø ( a , 0 ′ , ø ) ( x2 ... two dimensional ( planar ) problems in potential theory . Laplace's equation then becomes 80 80 √2Ø = dx2 + Jy2 ...
... 2 Hence from ( 8 ) , the potential at any point ( r ) is given by ( for r > a ) Ø ( r ) = 4√ Ø ( a , 0 ′ , ø ) ( x2 ... two dimensional ( planar ) problems in potential theory . Laplace's equation then becomes 80 80 √2Ø = dx2 + Jy2 ...
Page 108
... 2 aja , cos Ꮎ d Ꮎ d Ꮎ Ο ∞ ( a12 + a22 — 2α1α2 cos 0 + ď2 ) 1n The integral cannot be evaluated in closed form . However in casc the two coils are of nearly equal radii and the separation d « a , the integral has been approximately ...
... 2 aja , cos Ꮎ d Ꮎ d Ꮎ Ο ∞ ( a12 + a22 — 2α1α2 cos 0 + ď2 ) 1n The integral cannot be evaluated in closed form . However in casc the two coils are of nearly equal radii and the separation d « a , the integral has been approximately ...
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