基于偏导数下的非平行板电容器静电场问题的研究  

Research on Electrostatic Field of Non Parallel Plate Capacitor Based on Partial Derivative

作　　者：郑民伟[1] ZHENG Min-wei(Department of Basic Courses,Guangzhou Maritime University,Guangzhou Guangdong,510725,China)

机构地区：[1]广州航海学院基础教学部,广东广州510725

出　　处：《广州航海学院学报》2021年第2期75-76,82,共3页Journal of Guangzhou Maritime University

摘　　要：在直角坐标系下,选择比较合适的函数,根据唯一性定理分析,列出拉普拉斯方程,在偏导数下,经过两次积分,计算出非平行板电容器电势,通过电势梯度公式,得出非平行板电容器电场强度,再根据电容定义式计算非平行板电容器电容来;由电荷面密度公式、电荷量公式和非平行板电容器静电场能量得到相应的值,从而详细探讨非平行板电容器静电场的问题.In the rectangular coordinate system,choose a more appropriate function,according to the uniqueness theorem analysis,list the Laplace equation,under the partial derivative,through two times of integration,calculate the electric potential of non parallel plate capacitor,through the potential gradient formula,get the electric field strength of non parallel plate capacitor,and then calculate the capacitance of non parallel plate capacitor according to the definition formula of capacitance According to the formula of charge quantity and the energy of electrostatic field of non parallel plate capacitor,the problem of electrostatic field of non parallel plate capacitor is discussed in detail.

关 键 词：非平行板 电势 电场强度 电容 

分 类 号：O441[理学—电磁学]