Classical ElectrodynamicsProblems after each chapter |
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Page 96
... Obtain the following expansion : X 1 — x ' = m 00 ΣΤ ∞ dk eim ( - ) J ( kp ) Jm ( kp ' ) e − k ( z > -2 < ) ( c ) By appropriate limiting procedures prove the following expansions : Jo ( kVp + 2 1 = 0 00 -kizl e * \ Jo ( kp ) dk ...
... Obtain the following expansion : X 1 — x ' = m 00 ΣΤ ∞ dk eim ( - ) J ( kp ) Jm ( kp ' ) e − k ( z > -2 < ) ( c ) By appropriate limiting procedures prove the following expansions : Jo ( kVp + 2 1 = 0 00 -kizl e * \ Jo ( kp ) dk ...
Page 403
... obtain the result : ( E1 + m2 ) ( m2E ̧ + m2 + m2 + m23 — m . 2 π ± p cos 02 [ ( m2E2 m12 + m2 m22 - ma 212 + 2 E3 = -- - - - m22m2 — p2m2 sin2 0 , ( 12.53 ) ( E1 + m2 ) 2 - p2 cos2 0 , Only the values of ( 12.53 ) greater than m , have ...
... obtain the result : ( E1 + m2 ) ( m2E ̧ + m2 + m2 + m23 — m . 2 π ± p cos 02 [ ( m2E2 m12 + m2 m22 - ma 212 + 2 E3 = -- - - - m22m2 — p2m2 sin2 0 , ( 12.53 ) ( E1 + m2 ) 2 - p2 cos2 0 , Only the values of ( 12.53 ) greater than m , have ...
Page 498
... obtain dI ( w ) dQ e21⁄2 00 ω = -In x v2 c3 iwt ( 1- C · V ) dt 12 ( 14.127 ) 2π -∞ The integral is a Dirac delta function . Then dI ( w ) ΦΩ e22 sin2 0 = — | 8 ( 1 − eß cos 0 ) | 2 с ( 14.128 ) where is measured relative to the ...
... obtain dI ( w ) dQ e21⁄2 00 ω = -In x v2 c3 iwt ( 1- C · V ) dt 12 ( 14.127 ) 2π -∞ The integral is a Dirac delta function . Then dI ( w ) ΦΩ e22 sin2 0 = — | 8 ( 1 − eß cos 0 ) | 2 с ( 14.128 ) where is measured relative to the ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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4-vector acceleration Ampère's law angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate Chapter charge q charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss energy transfer factor force equation frame frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson momentum multipole nonrelativistic obtain oscillations P₁ P₂ parallel perpendicular phase velocity plane wave plasma polarization power radiated problem radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave number wavelength ΦΩ