##  [Conservative Vector Field](/conservative-vector-field) 

  ##  [Conservative Vector Field](https://natural.quantumdictionary.io/conservative-vector-field-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A vector field F on a region is conservative when there exists a scalar potential φ such that F equals the vector of partial derivatives of φ; equivalently, line integrals of F depend only on endpoints and not on path within the region.