Course of theoretical physics: Electrodynemics of continuous media |
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Page 19
A conducting ellipsoid The problem of the field of a charged conducting ellipsoid
and that of an ellipsoid in a uniform external field are solved by the use of
ellipsoidal coordinates. These are related to Cartesian coordinates by the
equation x2 ...
A conducting ellipsoid The problem of the field of a charged conducting ellipsoid
and that of an ellipsoid in a uniform external field are solved by the use of
ellipsoidal coordinates. These are related to Cartesian coordinates by the
equation x2 ...
Page 23
(4.20) Let us now consider the problem of an uncharged conducting ellipsoid in a
uniform external electric field (f. Without loss of generality we may take the field E
to be along one of the axes of the ellipsoid. In any other case this field may be ...
(4.20) Let us now consider the problem of an uncharged conducting ellipsoid in a
uniform external electric field (f. Without loss of generality we may take the field E
to be along one of the axes of the ellipsoid. In any other case this field may be ...
Page 41
For let us consider the surface C = —- cl, which is an ellipse in the x y-plane, with
semiaxes \/(a2 —c2) and \/(bz —c2), lying within the ellipsoid. For 5-» —c2, the
integral (4.23) behaves as \/(C + c2). The field, i.e. the potential gradient, ...
For let us consider the surface C = —- cl, which is an ellipse in the x y-plane, with
semiaxes \/(a2 —c2) and \/(bz —c2), lying within the ellipsoid. For 5-» —c2, the
integral (4.23) behaves as \/(C + c2). The field, i.e. the potential gradient, ...
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angle anisotropy anisotropy energy antiferromagnetic atoms axes axis body boundary conditions calculation charge circuit coefficient coefficients components conductor constant coordinates corresponding cross-section crystal Curie point curl H defined definition denote dependence derivatives determined dielectric diffraction direction discontinuity dissipation domains electric field electromagnetic field electrons ellipsoid energy flux expression external field external magnetic field ferroelectric ferromagnet field H find finite first first term flow fluctuations fluid formula free energy frequency function given gives grad Hence incident induction infinite integral isotropic Landau theory layer linear magnetic field magnetohydrodynamics magnetostriction magnitude medium normal obtain optical particle permittivity perpendicular perturbation phase plane polarization PROBLEM propagated properties pyroelectric quantities reflection refraction relation respect result rotation satisfied scattering shock wave significance solution sphere superconducting surface symmetry tangential temperature tensor theory thermodynamic potential transition uniaxial upper half-plane values variable velocity volume wave vector z-axis zero