Calculus
The Divergence Theorem
Surface flux = divergence inside
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The Divergence Theorem
Parameters
Divergence0.50
Radius120.00
Measurements
∮ Surface flux+0
∫∫∫ div(F) dV2.262
Formula
∮∮ F·dS = ∫∫∫ div(F) dV
Total flux of a vector field through a closed surface equals the volume integral of divergence inside.
💡 Intuition
Divergence measures how much "fluid" is created at each point. The theorem says: total outward flow = total source inside. Watch particles escape the circle with positive divergence.