Application Of Gauss's Law and Biot-Savart Law to Charged Bodies with Inhomogeneous Charges

This paper systematically discusses the application and importance of Gauss's law and Bio-Savart's law in electromagnetism. Firstly, the basic principles and mathematical expressions of Gauss's law and Bio-Savart's law are introduced, and their applications in simple cases are also introduced. Secondly, it describes the application in complex cases, such as how to find the electric field strength of an object with an uneven charge, in which calculus is used to calculate the charge from the charge density. Finally, it emphasizes the role of the two laws in promoting scientific research and technological innovation, and calls for further exploration of their application and significance to promote the development and innovation in the field of electromagnetism. This paper aims to give readers a comprehensive understanding and inspiration of Gauss's law and Biot-Savart's Law, explain the application of the two theorems, and provide useful reference and guidance for the research and practice in related fields.