Classical ElectrodynamicsProblems after each chapter |
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Page 137
... law implies that the total force on the current distribution is F = • ! √ ( x ) J ( x ) x B ( x ) d3x Similarly the total torque is N = xx ( J x B ) d3x ( 5.12 ) ( 5.13 ) These general results will be applied to localized ... Ampère's law,
... law implies that the total force on the current distribution is F = • ! √ ( x ) J ( x ) x B ( x ) d3x Similarly the total torque is N = xx ( J x B ) d3x ( 5.12 ) ( 5.13 ) These general results will be applied to localized ... Ampère's law,
Page 177
... law : Ampère's law : Faraday's law : V.D = 4πρ V X H = 4π J с ( 6.22 ) 1 дв VxE + = 0 Absence of free magnetic poles : с ді V.B = 0 These equations are written in macroscopic form and in Gaussian units . Let us recall that all but ...
... law : Ampère's law : Faraday's law : V.D = 4πρ V X H = 4π J с ( 6.22 ) 1 дв VxE + = 0 Absence of free magnetic poles : с ді V.B = 0 These equations are written in macroscopic form and in Gaussian units . Let us recall that all but ...
Page 178
... Ampère's law , as can be seen by taking the diver- gence of both sides : 4πT V • J = V · ( V x H ) = 0 с ( 6.23 ) ... law ( 6.22 ) . Thus V.J + др = ◊ Ət J + 1 D Απ θι = 0 Then Maxwell replaced J in Ampère's law by its generalization , J ...
... Ampère's law , as can be seen by taking the diver- gence of both sides : 4πT V • J = V · ( V x H ) = 0 с ( 6.23 ) ... law ( 6.22 ) . Thus V.J + др = ◊ Ət J + 1 D Απ θι = 0 Then Maxwell replaced J in Ampère's law by its generalization , J ...
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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