Classical ElectrodynamicsProblems after each chapter |
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Page 13
... equation for the single function P ( x ) : γ Φ = -4πρ ( 1.28 ) This equation is called Poisson's equation . In regions of space where there is no charge density , the scalar potential satisfies Laplace's equation : V2 = 0 ( 1.29 ) We ...
... equation for the single function P ( x ) : γ Φ = -4πρ ( 1.28 ) This equation is called Poisson's equation . In regions of space where there is no charge density , the scalar potential satisfies Laplace's equation : V2 = 0 ( 1.29 ) We ...
Page 337
... equation in ( 10.91 ) is independent of magnetic field , we suspect that there exist solutions of a purely electrostatic nature , with B = 0. The continuity and force equations can be combined to yield a wave equation for the density ...
... equation in ( 10.91 ) is independent of magnetic field , we suspect that there exist solutions of a purely electrostatic nature , with B = 0. The continuity and force equations can be combined to yield a wave equation for the density ...
Page 598
... equation of motion ( 17.50 ) differs from customary mechanical equations of motion in that the acceleration of the ... equation of motion become Newton's equation , mv ( t ) = F ( 1 ) . This is accomplished by choosing the upper limit on ...
... equation of motion ( 17.50 ) differs from customary mechanical equations of motion in that the acceleration of the ... equation of motion become Newton's equation , mv ( t ) = F ( 1 ) . This is accomplished by choosing the upper limit on ...
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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