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Page 13
... equation for the single function Þ ( 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 Þ ( 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 ...
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... Equation ( 12.128 ) is a consequence of the assumption that p2 / B is invariant . To show that at least to first order this invariance follows directly from the Lorentz force equation , we consider an explicit solution of the equations ...
... Equation ( 12.128 ) is a consequence of the assumption that p2 / B is invariant . To show that at least to first order this invariance follows directly from the Lorentz force equation , we consider an explicit solution of the equations ...
Contents
1 | 1 |
Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
Copyright | |
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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 classical coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ effects electric field electromagnetic fields electrons electrostatic energy loss energy transfer factor force equation formula frequency given Green's function impact parameter incident particle integral Kirchhoff Lorentz invariant Lorentz transformation magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum motion multipole nonrelativistic obtain oscillations P₁ parallel perpendicular plane wave plasma plasma oscillations polarization power radiated Poynting's vector problem propagation quantum quantum-mechanical radius region relativistic result 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