Practice question · Multiple choice
The divergence theorem equates a volume integral of with a flux through the bounding surface. What does that equality say physically?
Hints
- Think of water: where is it appearing, and where is it leaving?
- The theorem is a bookkeeping statement.
Show the answer
A. That what accumulates inside equals what crosses the boundary
Why
It is conservation written as a theorem. This is why Gauss’s law in integral and differential form are equivalent, one counts sources, the other counts what leaves.
Practise The Divergence Theorem
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More questions on The Divergence Theorem
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