Electrodynamics of Continuous Media |
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Page 68
... grad po ( p , T ) + - grad E2p 8πT E2 grad [ E ( ) ] - grade . ( 15.12 ) If the dielectric contains extraneous charges of density pex , the force f contains a further term E div D / 4π , or , since div D PexE ; = 4прех , ( 15.13 ) ...
... grad po ( p , T ) + - grad E2p 8πT E2 grad [ E ( ) ] - grade . ( 15.12 ) If the dielectric contains extraneous charges of density pex , the force f contains a further term E div D / 4π , or , since div D PexE ; = 4прех , ( 15.13 ) ...
Page 106
... grad T / T2 . Accordingly in the relations E j = σT στ —— σα Τ2 T grad T T2 E q - øj = ẞT- -YT2 . grad T T T2 the coefficients oxT2 and BT must be equal . Thus BoxT , so that q — þj = oαTE — y grad T. Finally , expressing E in terms of j ...
... grad T / T2 . Accordingly in the relations E j = σT στ —— σα Τ2 T grad T T2 E q - øj = ẞT- -YT2 . grad T T T2 the coefficients oxT2 and BT must be equal . Thus BoxT , so that q — þj = oαTE — y grad T. Finally , expressing E in terms of j ...
Page 142
... grad po + grad H2p gradμ- 8π 8π μ μ 8π 4π grad H2 + ( H.grad ) H . By a well - known formula of vector analysis , ( H.grad ) H = grad H2 - Hxcurl H Thus = grad H2 + 4jxH / c . 1 μ μ . f = -grad po + __grad [ H3 , ( 2 ) ] - grad , + xH ...
... grad po + grad H2p gradμ- 8π 8π μ μ 8π 4π grad H2 + ( H.grad ) H . By a well - known formula of vector analysis , ( H.grad ) H = grad H2 - Hxcurl H Thus = grad H2 + 4jxH / c . 1 μ μ . f = -grad po + __grad [ H3 , ( 2 ) ] - grad , + xH ...
Contents
Notation X | 1 |
2 The energy of the electrostatic field of conductors | 3 |
3 Methods of solving problems in electrostatics | 9 |
Copyright | |
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angle anisotropy atoms averaging axes axis body boundary condition calculated charge circuit co-ordinates coefficient components conducting conductor constant corresponding cross-section crystal Curie point curl H current density cylinder denote depends derivative determined dielectric permeability diffraction dipole direction discontinuity distance effect electric field electromagnetic electrons electrostatic ellipsoid equation div expression external field ferroelectric ferromagnetic field H fluid flux force formula free energy frequency function given gives grad H₂ Hence incident induction integral isotropic Laplace's equation layer linear macroscopic magnetic field magnetic moment magnetisation magnitude Maxwell's equations medium metal normal obtain optical particle perpendicular piezoelectric plane polarisation PROBLEM propagation properties pyroelectric quantities refraction relation respect result rotation scalar scattering SOLUTION sphere suffixes superconducting surface symmetry tangential temperature theory thermodynamic potential tion unit volume values variable velocity wave vector wire z-axis zero