∮S？ E big? =? Q/ε0
Where s is the closed surface, e is the electric field intensity, dA is the tiny area, q is the total charge in the closed surface, and ε0 is the dielectric constant in the vacuum medium.
The physical meaning of this theorem is that the total flux of electric field passing through a curved surface is equal to the total charge in the curved surface. In other words, the theorem can be used to solve the electric field intensity in a closed surface, and only the charge distribution in the closed surface needs to be known.
Gauss theorem is widely used, especially in electrostatics and electrodynamics. For example, Coulomb's law can be proved by Gauss theorem, that is, the power between two electrostatic charges is inversely proportional to the square of the distance between them. In addition, other basic concepts of electric field, such as electric flux density and electric potential energy, can be deduced by Gauss theorem.
In a word, Gauss theorem is a very important theorem in physics, and its application is not limited to electric field, but also involves magnetic field and fluid mechanics.