Classical Theory of Electricity and Magnetism: (a Course of Lectures) |
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Page 15
... integration incl- udes the origin . √2 = For our purposes a relation between the Laplacian operator 22 22 22 dx2 + y2 + Əz2 and the delta function will be particularly useful . Consider the expression V2 ( 1 / r ) where the scalar r is ...
... integration incl- udes the origin . √2 = For our purposes a relation between the Laplacian operator 22 22 22 dx2 + y2 + Əz2 and the delta function will be particularly useful . Consider the expression V2 ( 1 / r ) where the scalar r is ...
Page 243
... integration . Hence mc2 dm eẸ di = V 2c α ( m – μ ) This may be integrated to give ૐ ' , + 2μ & 22 = √2cα με V ... integrating 3 2 - ( x − xo ) : = eE εξ + 2 ( cu - αξ ( 35 ) V2 ca Also dz ż Yc2 dε or ( z - zo ) = Finally V2cas eE ...
... integration . Hence mc2 dm eẸ di = V 2c α ( m – μ ) This may be integrated to give ૐ ' , + 2μ & 22 = √2cα με V ... integrating 3 2 - ( x − xo ) : = eE εξ + 2 ( cu - αξ ( 35 ) V2 ca Also dz ż Yc2 dε or ( z - zo ) = Finally V2cas eE ...
Page 262
... integrating we get du dz B. - 4m ( b - d ) 4πη = Во ( 21 ) Z = + L E , j . u , Bx Fig . 1 Z = -L The constant of integration b remains arbitrary and is usually fixed by imposing the condition that B , vanishes at both z = + L and L ...
... integrating we get du dz B. - 4m ( b - d ) 4πη = Во ( 21 ) Z = + L E , j . u , Bx Fig . 1 Z = -L The constant of integration b remains arbitrary and is usually fixed by imposing the condition that B , vanishes at both z = + L and L ...
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