Question

In a vector field, what mathematical principle is applied to calculate the flux through a closed surface?

A. Curl theorem
B. Divergence theorem
C. Green's theorem
D. Stokes' theorem

Answer 1

The mathematical principle applied to calculate the flux through a closed surface in a vector field is the Divergence theorem.

Step-by-step explanation:

The mathematical principle applied to calculate the flux through a closed surface in a vector field is the Divergence theorem.

The Divergence theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of that field over the region enclosed by the surface.

This theorem is also known as Gauss's theorem or Gauss's divergence theorem.