开缝椭圆柱板电容器的电容CAPACITANCE OF SLOTTED ELLIPTIC CYLINDRICAL CAPACITOR
陈鑫鑫,陈钢
摘要(Abstract):
在求解与平面场有关的问题时,保角变换方法是一种常用的非常有效的方法,利用保角变换求解柱形电容器的电容,可以将较为困难的问题变换为简单的电容的求解.由两个圆弧柱或两个椭圆弧柱极板构成的电容器是较为重要的柱形电容器,文献[1]求解了对称圆弧柱构成的电容器的电容,在此基础上本文利用幂变换的方法求解开缝不对称圆弧柱极板电容器的电容,并再次利用儒可夫斯基变换,将开缝不对称椭圆柱极板变换为对称圆弧柱极板形式,利用对称圆弧柱板电容的结果求出开缝椭圆柱极板电容器的电容.
关键词(KeyWords): 开缝椭圆柱板电容器;电容;儒可夫斯基变换;幂变换
基金项目(Foundation):
作者(Author): 陈鑫鑫,陈钢
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