Definition:Conservative Vector Field
Let $\mathbf V$ be a vector field acting over $R$.
- $\ds \oint \mathbf V \cdot \d \mathbf l = 0$
- $\curl \mathbf V = \bszero$
A conservative (vector) field is also known in the literature as:
- a non-curl field
- an irrotational field
- a lamellar field.
Let $\mathbf V$ be the electric field to which $F$ gives rise to.
- Results about conservative vector fields can be found here.
The adjective lamellar derives from the Latin noun lamella, which means thin layer.