# Divergence theorem (3D)

3 videos

An earlier tutorial used Green's theorem to prove the divergence theorem in 2-D, this tutorial gives us the 3-D version (what most people are talking about when they refer to the "divergence theorem"). We will get an intuition for it (that the flux through a close surface--like a balloon--should be equal to the divergence across it's volume). We will use it in examples. We will prove it in another tutorial.

### 3D divergence theorem intuition

VIDEO
9:14 minutes

Intuition behind the Divergence Theorem in three dimensions

### Divergence theorem example 1

VIDEO
10:45 minutes

Example of calculating the flux across a surface by using the Divergence Theorem

### Why we got zero flux in divergence theorem example 1

VIDEO
3:34 minutes

Intuition as to why we go no net flux in the last worked example