Classical ElectrodynamicsProblems after each chapter |
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Page 31
... Sphere In the previous section we considered the problem of a point charge q near a grounded sphere and saw that a surface - charge density was induced on the sphere . This charge was of total amount q ' -aqly , and was distributed over ...
... Sphere In the previous section we considered the problem of a point charge q near a grounded sphere and saw that a surface - charge density was induced on the sphere . This charge was of total amount q ' -aqly , and was distributed over ...
Page 33
... sphere held at a fixed potential V. The potential is the same as for the charged sphere , except that the charge ( Q — q ' ) at the center is replaced by a charge ( Va ) ... sphere at fixed potential, Conducting sphere in a uniform field,
... sphere held at a fixed potential V. The potential is the same as for the charged sphere , except that the charge ( Q — q ' ) at the center is replaced by a charge ( Va ) ... sphere at fixed potential, Conducting sphere in a uniform field,
Page 39
... sphere of radius R with a total charge on it . The potential has the constant value Q / R inside the sphere and falls off inversely with distance away from the center for points outside the sphere . By a suitable choice of center of ...
... sphere of radius R with a total charge on it . The potential has the constant value Q / R inside the sphere and falls off inversely with distance away from the center for points outside the sphere . By a suitable choice of center of ...
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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