Analytical solution for DC field, transparency condition, and estimation of resistivity for radially anisotropic sphere of conductivity rm
作者： Aleš Berkopec
DOI: 10.1016/J.ELSTAT.2009.11.003
关键词: Physics 、 Special functions 、 Electric current 、 Electronic engineering 、 Conductivity 、 Laplace's equation 、 Field (physics) 、 Direct current 、 Electrical resistivity and conductivity 、 Anisotropy 、 Condensed matter physics
摘要: Abstract We investigate the direct current (DC) field distribution for a sphere of special conductivity. While general case requires introduction either functions or numerical approach, we show that in cases where specific conductivity increases as r m function, ≥ 0, analytical solution can be found. This is then used to analyze three concrete examples: DC submerged into electric field, conditions required become transparent, and resistivity symmetric pair electrodes variable size.
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