Define Flux of a Vector Field.

The Flux of a Vector Field is a measure of the flow of that field across a surface. Mathematically, the flux (Φ) is calculated by taking the dot product of the vector field (F) and the surface's normal vector (n), and integrating this product over the surface (S). The formula for flux is:
Φ = ∫∫ (F · n) dS
where:
- Φ represents the flux of the vector field.
- F denotes the vector field.
- n represents the unit normal vector to the surface.
- dS signifies an infinitesimal area element on the surface.
- ∫∫ represents the surface integral over the given surface.

Essentially, the flux measures the amount of the vector field passing through a given surface per unit area.

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