半圆柱壳电容器电场及其电容的一种计算
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摘要
电容器是电力设备和电子产品的重要组成部分,常规电容器应用有限,而非常规电容器应用更广.本文对非常规电容器的一种半圆柱壳电容器静电场问题进行研究,其结果为制作此类电容器提供理论依据,其方法为研究此类非常规问题提供新思路,本方法为用复势函数法,通过选取合适的对数函数结合共轭复数的有关变换,运用电势的梯度公式计算出电场强度,引入电通量函数,通过电容定义式计算出半圆柱壳电容器电容值,计算出的电容、电势和电场强度.
Capacitors are an important part of power equipment and electronic products,and conventional capacitors have limited applications rather than conventional capacitors. In this paper,the electrostatic field of a semi-cylindrical shell capacitor of unconventional capacitor is studied. This kind of capacitor provides theoretical basis,and its method provides new ideas for studying such unconventional problems. This method USES complex potential function. Method,the electric field intensity is calculated by the gradient formula of electric potential through selecting the appropriate logarithmic function and combining with the transformation of conjugate complex number.By introducing the electric flux function,the capacitance value of the semi-cylindrical shell capacitor is calculated through the capacitance definition formula.
Capacitors are an important part of power equipment and electronic products,and conventional capacitors have limited applications rather than conventional capacitors. In this paper,the electrostatic field of a semi-cylindrical shell capacitor of unconventional capacitor is studied. This kind of capacitor provides theoretical basis,and its method provides new ideas for studying such unconventional problems. This method USES complex potential function. Method,the electric field intensity is calculated by the gradient formula of electric potential through selecting the appropriate logarithmic function and combining with the transformation of conjugate complex number.By introducing the electric flux function,the capacitance value of the semi-cylindrical shell capacitor is calculated through the capacitance definition formula.
引文
[1]王福谦.半圆柱壳电容器内的电场及其电容[J].大学物理,2015,34(5):34-36.
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[3]中国矿业学院数学教研室编.数学手册(第二册)[M].北京:科学出版社,1980:12-13.
[4]梁昆淼.数学物理方法[M].北京:人民教育出版社,1998:311-317.
[5]马文蔚,周雨青,主编.物理学简明教程[M].北京:高等教育出版社,2012:184-208..
[6]饶瑞昌,时钟涛.大学物理学(第二版)下册[M].北京:高等教育出版社,2018:12-48.
[7]赵凯华,陈熙谋.电磁学(第四版)[M].北京:高等教育出版社,2018:24-38.
[8]郭硕鸿.电动力学(第三版)[M].北京:高等教育出版社,2018:80-98.
[2]许福永,赵克玉.电磁场与电磁波[M].北京:科学出版社,2006:171-180.
[3]中国矿业学院数学教研室编.数学手册(第二册)[M].北京:科学出版社,1980:12-13.
[4]梁昆淼.数学物理方法[M].北京:人民教育出版社,1998:311-317.
[5]马文蔚,周雨青,主编.物理学简明教程[M].北京:高等教育出版社,2012:184-208..
[6]饶瑞昌,时钟涛.大学物理学(第二版)下册[M].北京:高等教育出版社,2018:12-48.
[7]赵凯华,陈熙谋.电磁学(第四版)[M].北京:高等教育出版社,2018:24-38.
[8]郭硕鸿.电动力学(第三版)[M].北京:高等教育出版社,2018:80-98.