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均匀电介质椭球内极化场强研究
引用本文:蒋明宇,胡先权,邓海.均匀电介质椭球内极化场强研究[J].重庆师范大学学报(自然科学版),2004,21(1):41-45.
作者姓名:蒋明宇  胡先权  邓海
作者单位:重庆师范大学,物理系,重庆,400047;重庆师范大学,物理系,重庆,400047;重庆师范大学,物理系,重庆,400047
摘    要:采用椭球坐标经推导严格求出了均匀外电场中电介质椭球体内的极化场强,明确指出某些教科书关于椭球体内极化场强方向与外电场方向严格相反这一结论是不严谨的.通过采用网格计算方法与变步长相结合,计算了极化场强方向与外电场方向的方向夹角,并分析了该夹角随椭球体3个半轴a、b、c的变化趋势.

关 键 词:电介质  电介质极化  极化场强  相对介电常数  椭球坐标系
文章编号:1672-6693(2004)01-0041-05
修稿时间:2003年10月29日

Study of the Polarization Field Strength inside Ellipsoid in a Homogeneous Dielectric
JIANG Ming-yu,HU Xian-quan,DENG Hai.Study of the Polarization Field Strength inside Ellipsoid in a Homogeneous Dielectric[J].Journal of Chongqing Normal University:Natural Science Edition,2004,21(1):41-45.
Authors:JIANG Ming-yu  HU Xian-quan  DENG Hai
Abstract:The solution of polarization field strength in ellipsoid and a homogeneous dielectric in condition of a constant external field is obtained by strict derivation in the use of ellipsoidal coordination. Therefore we can point out that the conclusion in some textbooks that the direction of polarization field strength with the direction of external field holds strict anti-parallel is mistaken. By means of the latticework and the step change calculation, the angle value of polarization vector with the external field is calculated and the analysis of the change situation about the angle value with the change of three half axes a, b, c of ellipsoid is made.
Keywords:dielectric  dielectric polarization  polarization field strength  relative permittivity  ellipsoidal coordinates
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