MODIFIKASI DISTRIBUSI MUATAN BERDASARKAN DISTRIBUSI FERMI-DIRAC DAN APLIKASINYA PADA HUKUM GAUSS
Gauss's law is one of the fundamental laws of physics, especially in the study of electricity. One of the important variable to use Gauss's law is the ability to determine the enclosed charge by the Gaussian surface. Commonly, the definition of the charge distribution of an object is defined by piecewise continuous function. In this paper, a charge distribution model that can accommodate all regions is proposed. The model is constructed based on analogies with the Fermi-Dirac's distribution function. The proposed model contains an exponential function that is related to the radius of an object and is equipped with a parameter to avoid the appearance of a not physical curve. The charge distribution can be used to calculate the enclosed charge by the Gaussian surface and to determine its electrical field. Some of the cases reviewed were spherical solid objects and spherical concentric objects. When compared to the conventional charge distribution, the modified distribution is more straightforward, and it can reduce the computational process algorithm. Therefore this can be used to construct concise and simple computer-based learning media.