Classical ElectrodynamicsProblems after each chapter |
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Page 485
... ΦΩ 10 = 0 ~ 3 e2 22 2π C @c -2w / we e ( 14.88 ) These limiting forms show that the spectrum at 00 increases with ... ΦΩ 10 = 0 ΦΩ • e - 3wy202 / we ( 14.90 ) Thus the critical angle , defined by the 1 / [ Sect . 14.6 ] 485 Radiation by ...
... ΦΩ 10 = 0 ~ 3 e2 22 2π C @c -2w / we e ( 14.88 ) These limiting forms show that the spectrum at 00 increases with ... ΦΩ 10 = 0 ΦΩ • e - 3wy202 / we ( 14.90 ) Thus the critical angle , defined by the 1 / [ Sect . 14.6 ] 485 Radiation by ...
Page 501
... 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 0 ΦΩ 32πα | ( 1 - 82 cos2 0 ) 1⁄2 ( c ) Make rough sketches of the angular ...
... 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 0 ΦΩ 32πα | ( 1 - 82 cos2 0 ) 1⁄2 ( c ) Make rough sketches of the angular ...
Page 529
... ΦΩ = nx [ n x v ( t ) ] eit dt 4π2C3 ∞ ( 15.72 ) where we have assumed that ( wa / c ) < 1 ( dipole approximation ) and put the retardation factor equal to unity . The integral in ( 15.72 ) can be written Sdr = dtwa ( I + cos 012 ) ...
... ΦΩ = nx [ n x v ( t ) ] eit dt 4π2C3 ∞ ( 15.72 ) where we have assumed that ( wa / c ) < 1 ( dipole approximation ) and put the retardation factor equal to unity . The integral in ( 15.72 ) can be written Sdr = dtwa ( I + cos 012 ) ...
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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