The Divergence Theorem is a 3-dimensional version of the Fundamental Theorem of Calculus. It states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence of that vector field over the region enclosed by the surface.
The Divergence Theorem allows us to calculate the outward flux of a vector field through a closed surface by evaluating the volume integral of the divergence of the vector field over the region enclosed by the surface.
Outward flux is a measure of the flow of a vector field out of a closed surface. It represents the amount of the vector field that is passing through the surface in an outward direction.
The Divergence Theorem states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence of that vector field over the region enclosed by the surface. In other words, the divergence of a vector field determines the amount of outward flux through a given surface.
The outward flux of a vector field is important in many areas of physics and engineering, as it allows us to quantify the flow of a vector field through a given surface. This can have practical applications in fields such as fluid dynamics, electromagnetism, and heat transfer.