Classical ElectrodynamicsProblems after each chapter |
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Page 14
... Theorem If electrostatic problems always involved localized discrete or continuous distributions of charge with no boundary surfaces , the general solution ( 1.17 ) ... theorem : дж ( ¿ V3y − 14 Classical Electrodynamics Green's theorem,
... Theorem If electrostatic problems always involved localized discrete or continuous distributions of charge with no boundary surfaces , the general solution ( 1.17 ) ... theorem : дж ( ¿ V3y − 14 Classical Electrodynamics Green's theorem,
Page 25
... theorem : For charge - free space the value of the electrostatic potential at any point is equal to the average of the potential over the surface of any sphere centered on that point . 1.10 Use Gauss's theorem to prove that at the ...
... theorem : For charge - free space the value of the electrostatic potential at any point is equal to the average of the potential over the surface of any sphere centered on that point . 1.10 Use Gauss's theorem to prove that at the ...
Page 197
... theorem . We derived the conservation of energy in Section 6.8 in the macroscopic form ( 6.81 ) . Written out explicitly in terms of all the fields , it is _ | £ f E ( Ex H ) n da + · E 4πJ V • ƏD + H ді дв • :) 3B ) dx = - [ E. Jdx V ...
... theorem . We derived the conservation of energy in Section 6.8 in the macroscopic form ( 6.81 ) . Written out explicitly in terms of all the fields , it is _ | £ f E ( Ex H ) n da + · E 4πJ V • ƏD + H ді дв • :) 3B ) dx = - [ E. Jdx V ...
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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