Gauss's Law is a fundamental principle in electromagnetism that relates the electric field around a closed surface to the charge enclosed within that surface. It states that the total electric flux passing through the surface is proportional to the total charge inside. This means that if you know the amount of charge inside a surface, you can determine the strength of the electric field around it.
This law is particularly useful for calculating electric fields in symmetrical situations, such as around a spherical charge or a cylindrical charge. By applying Gauss's Law, physicists can simplify complex problems and gain insights into how electric fields behave in different scenarios.