June, 2014. Page Version ID: 612311274
In vector calculus a conservative vector field is a vector field that is the gradient of some function, known in this context as a scalar potential.[1] Conservative vector fields have the property that the line integral is path independent, i.e. the choice of integration path between any point and another does not change the result. Path independence of a line integral is equivalent to the vector field being conservative. A conservative vector field is also irrotational; in three dimensions this means that it has vanishing curl. An irrotational vector field is necessarily conservative provided that a certain condition on the geometry of the domain holds, i.e. the domain is simply connected.
@misc{_conservative_2014,
title = {Conservative vector field},
url = {http://en.wikipedia.org/w/index.php?title=Conservative_vector_field&oldid=612311274},
abstract = {In vector calculus a conservative vector field is a vector field that is the gradient of some function, known in this context as a scalar potential.[1] Conservative vector fields have the property that the line integral is path independent, i.e. the choice of integration path between any point and another does not change the result. Path independence of a line integral is equivalent to the vector field being conservative. A conservative vector field is also irrotational; in three dimensions this means that it has vanishing curl. An irrotational vector field is necessarily conservative provided that a certain condition on the geometry of the domain holds, i.e. the domain is simply connected.},
language = {en},
urldate = {2014-06-19TZ},
journal = {Wikipedia, the free encyclopedia},
month = jun,
year = {2014},
note = {Page Version ID: 612311274}
}