Classical ElectrodynamicsProblems after each chapter |
From inside the book
Results 1-3 of 57
Page 151
... vector potential due to all currents is d3x ' 1 a = ! √ 3 ( x ) d x2 + ! ƒ J ( x ) d x 1ƒ3x ' ) a = cJ x - x ' ] | x Ix - x ( 5.74 ) We use a small a for the microscopic vector potential , just as we used € for the microscopic electric ...
... vector potential due to all currents is d3x ' 1 a = ! √ 3 ( x ) d x2 + ! ƒ J ( x ) d x 1ƒ3x ' ) a = cJ x - x ' ] | x Ix - x ( 5.74 ) We use a small a for the microscopic vector potential , just as we used € for the microscopic electric ...
Page 152
... vector potential as 1 ( J ( x ' ) + cV ' × M ( x ' ) d3x ' A ( x ) = ! √ 3 ( x ) ❘x - x ' ( 5.80 ) We see that the magnetization contributes to the vector potential as an effective current density JM : JM c ( V x M ) M = ( 5.81 ) ...
... vector potential as 1 ( J ( x ' ) + cV ' × M ( x ' ) d3x ' A ( x ) = ! √ 3 ( x ) ❘x - x ' ( 5.80 ) We see that the magnetization contributes to the vector potential as an effective current density JM : JM c ( V x M ) M = ( 5.81 ) ...
Page 270
... vector in the direction of x . Then the vector potential is eikr A ( x ) = cr JJx ikn.x ' J ( x ' ) d3x ' r ( 9.7 ) In the approximation that r > d and d < λ it is legitimate to expand the exponential and its denominator as a power ...
... vector in the direction of x . Then the vector potential is eikr A ( x ) = cr JJx ikn.x ' J ( x ' ) d3x ' r ( 9.7 ) In the approximation that r > d and d < λ it is legitimate to expand the exponential and its denominator as a power ...
Other editions - View all
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