利用立体角求解带电半球面球心处的场强

Method of using solid angle to calculate electric field intensity in center of charged hemisphere surface

为了求解均匀带电半球面球心处的场强,采用立体角的方法来处理此问题,结果表明:采用立体角的方法来求解决均匀带电半球面球心处的场强与使用分割带电体直接积分方法处理此问题虽然采用的方法不同,但可以得到相同的结果,与分割带电体直接积分方法相比,使用立体角的方法来求解此问题更为简便。该方法为处理均匀带电体场强问题的求解提供了新的思路,使此类问题从新的角度得到了更为简便的解决方法,并且可以为求解均匀带电球面、球冠、柱面的场强等相关类型的问题提供可参考的研究方法。

A new method of solid angle is used to calculate the electric field intensity in the center of the charged hemisphere surface. Althogh this method is different from the integration method of dividing the charged body, the results are the same. And this method is easier. This method provides a new perspective to solve problems as the electric field intensity of even charged body. It makes these problems easier to solve, It is also applicable to calculate the electric field intensities of even charged spherical surface, spherical crown and cylindrical surface.