Classical ElectrodynamicsProblems after each chapter |
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Page 52
... cylinder axis to the line charge as the x axis ) , including the asymptotic form far from the cylinder ; ( c ) the induced surface - charge density , and plot it as a function of angle for R / b 2 , 4 in units of π / 2πb ; = ( d ) the ...
... cylinder axis to the line charge as the x axis ) , including the asymptotic form far from the cylinder ; ( c ) the induced surface - charge density , and plot it as a function of angle for R / b 2 , 4 in units of π / 2πb ; = ( d ) the ...
Page 95
... cylinder . 3.7 For the cylinder in Problem 3.6 the cylindrical surface is made of two equal half - cylinders , one at potential V and the other at potential -V , so that V ( p , z ) = π V for 2 V πT FI2 - V for << ( a ) Find the ...
... cylinder . 3.7 For the cylinder in Problem 3.6 the cylindrical surface is made of two equal half - cylinders , one at potential V and the other at potential -V , so that V ( p , z ) = π V for 2 V πT FI2 - V for << ( a ) Find the ...
Page 260
... cylinder in order to satisfy boundary conditions at all points on the surface at all times . In the usual way , inside the dielectric cylinder the transverse Laplacian of the fields must be negative so that the constant 2,2 @ 2 c2 ...
... cylinder in order to satisfy boundary conditions at all points on the surface at all times . In the usual way , inside the dielectric cylinder the transverse Laplacian of the fields must be negative so that the constant 2,2 @ 2 c2 ...
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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