Classical ElectrodynamicsProblems after each chapter |
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Page 86
... obtained from this expansion . If we let x ' → 0 , only the m = 0 term survives , and we obtain the integral representation : 1 p2 + z2 2 2 00 = -- cos kz Ko ( kp ) dk π 0 ( 3.150 ) If we replace p2 in ( 3.150 ) by R2 = p2 + p'2 ...
... obtained from this expansion . If we let x ' → 0 , only the m = 0 term survives , and we obtain the integral representation : 1 p2 + z2 2 2 00 = -- cos kz Ko ( kp ) dk π 0 ( 3.150 ) If we replace p2 in ( 3.150 ) by R2 = p2 + p'2 ...
Page 96
... Obtain the following expansion : 1 X x | = 00 ΣΙ m = ∞ dk eim ( þ − 6 ' ) Jm ( kp ) Jm ( kp ' ) e − k ( z > −z < ) ( c ) By appropriate limiting procedures prove the following expansions : 1 + z2 = 00 e - k * Jo ( kp ) dk Jo ( k Vp ...
... Obtain the following expansion : 1 X x | = 00 ΣΙ m = ∞ dk eim ( þ − 6 ' ) Jm ( kp ) Jm ( kp ' ) e − k ( z > −z < ) ( c ) By appropriate limiting procedures prove the following expansions : 1 + z2 = 00 e - k * Jo ( kp ) dk Jo ( k Vp ...
Page 402
... obtain E , we merely interchange må and - m1 and change 0 ' into π 0 ' ( cos 0 ' ← -cos 0 ' ) . The relation between angles 0 ' and 0 , can be obtained from the expres- sion tan 03 P31 = = P311 tan 03 = Therefore we find where q ' sin ...
... obtain E , we merely interchange må and - m1 and change 0 ' into π 0 ' ( cos 0 ' ← -cos 0 ' ) . The relation between angles 0 ' and 0 , can be obtained from the expres- sion tan 03 P31 = = P311 tan 03 = Therefore we find where q ' sin ...
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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