Classical ElectrodynamicsProblems after each chapter |
From inside the book
Results 1-3 of 57
Page 151
... vector potential due to all currents is a = 1 ( J ( x ' ) d3x ' Ix - x + 1 f Ja ( x ' ) ď3x ' Ix - x ( 5.74 ) We use a small a for the microscopic vector potential , just as we used € for the microscopic electric field in Chapter 4. For ...
... vector potential due to all currents is a = 1 ( J ( x ' ) d3x ' Ix - x + 1 f Ja ( x ' ) ď3x ' Ix - x ( 5.74 ) We use a small a for the microscopic vector potential , just as we used € for the microscopic electric field in Chapter 4. For ...
Page 152
... vector potential as 1 ( J ( x ' ) + cV ' × M ( x ' ) d3x ' A ( x ) = ! ƒ3 ( 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 ) ( 5.81 ) There ...
... vector potential as 1 ( J ( x ' ) + cV ' × M ( x ' ) d3x ' A ( x ) = ! ƒ3 ( 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 ) ( 5.81 ) There ...
Page 270
... vector in the direction of x . Then the vector potential is A ( x ) = eikr cr JJ ( x ) ikn.x ' e d3x ' n.x ' 1 - ( 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 A ( x ) = eikr cr JJ ( x ) ikn.x ' e d3x ' n.x ' 1 - ( 9.7 ) In the approximation that r > d and d < λ it is legitimate to expand the exponential and its denominator as a power ...
Contents
1 | 1 |
Greens theorem | 14 |
BoundaryValue Problems in Electrostatics I | 26 |
Copyright | |
17 other sections not shown
Other editions - View all
Common terms and phrases
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