Classical ElectrodynamicsProblems after each chapter |
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Page 9
... Surface Distributions of Charges and Dipoles and Discontinuities in the Electric Field and Potential One of the common problems in electrostatics is the determination of electric field or potential due to a given surface distribution of ...
... Surface Distributions of Charges and Dipoles and Discontinuities in the Electric Field and Potential One of the common problems in electrostatics is the determination of electric field or potential due to a given surface distribution of ...
Page 10
... surface ) can be obtained from ( 1.17 ) by replacing p d3x by o da : Φ ( x ) = σ ( x ' ) s | x − x ' da ' - ( 1.23 ) Another problem of interest is the potential due to a dipole - layer distribution on a surface S. A dipole layer can ...
... surface ) can be obtained from ( 1.17 ) by replacing p d3x by o da : Φ ( x ) = σ ( x ' ) s | x − x ' da ' - ( 1.23 ) Another problem of interest is the potential due to a dipole - layer distribution on a surface S. A dipole layer can ...
Page 38
... surface S is the surface S ' , and vice versa . not . The only exception occurs when Ø vanishes on some surface . Then ' also vanishes on the inverted surface . One might think that , since is arbitrary to the extent of an additive ...
... surface S is the surface S ' , and vice versa . not . The only exception occurs when Ø vanishes on some surface . Then ' also vanishes on the inverted surface . One might think that , since is arbitrary to the extent of an additive ...
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4-vector Ampère's law angle angular distribution approximation atomic axis boundary conditions calculate Chapter charge density charge q charged particle coefficients collisions component conductor consider coordinates cross section current density cylinder d³x delta function dielectric constant diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss expansion expression factor frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic moment magnitude Maxwell's equations meson modes molecules momentum motion multipole nonrelativistic normal obtain oscillations P₁ parallel plasma point charge Poisson's equation polarization problem radiation radius region relativistic result scalar scalar potential scattering shown in Fig shows solution spherical surface surface-charge density theorem transverse unit V₁ vanishes vector potential velocity volume wave equation wave number wavelength written zero ΦΩ