Integrating a Vector Field along a Curve

The  line integral (∫_C)(OverVector[F])·d(OverVector[r]) of the vector field (OverVector[F]) along the curve C gives the work done by the field on an object moving along the curve through the field. A field is called conservative if only the starting and ending points matter; in a conservative field the work done around a closed curve is zero. The first two fields in the popup menu are conservative.

THINGS TO TRY

MouseOver

RELATED LINKS

Contributed by: Gosia Konwerska

© The Wolfram Demonstrations Project & Contributors   |   Terms of Use