Classical ElectrodynamicsProblems after each chapter |
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Page 12
... solid angle element d subtended by da ' at P. For a constant surface - dipole - moment density D , the potential is just the product of the moment and the solid angle subtended at the observation point by the surface , regardless of its ...
... solid angle element d subtended by da ' at P. For a constant surface - dipole - moment density D , the potential is just the product of the moment and the solid angle subtended at the observation point by the surface , regardless of its ...
Page 478
... solid angle element at the observation point . The total energy radiated per unit solid angle is the time integral of ( 14.51 ) : + √2 J = XP -8 | A ( t ) | 2 dt ( 14.53 ) This can be expressed alternatively as an integral over a ...
... solid angle element at the observation point . The total energy radiated per unit solid angle is the time integral of ( 14.51 ) : + √2 J = XP -8 | A ( t ) | 2 dt ( 14.53 ) This can be expressed alternatively as an integral over a ...
Page 501
... solid angle is : e2c84 sin2 0 cos2 ( wt ' ) where ẞ = awo / c . dP ( t ' ) = ΦΩ 4πа2 ( 1 + ẞ cos 0 sin w。t ́ ) 5 ( b ) By performing a time averaging , show that the average power per unit solid angle is : e2cB4 4 + B2 cos2 0 dP = sin2 ...
... solid angle is : e2c84 sin2 0 cos2 ( wt ' ) where ẞ = awo / c . dP ( t ' ) = ΦΩ 4πа2 ( 1 + ẞ cos 0 sin w。t ́ ) 5 ( b ) By performing a time averaging , show that the average power per unit solid angle is : e2cB4 4 + B2 cos2 0 dP = sin2 ...
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Common terms and phrases
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