Surface integral of a vector field (flux)
Let be a vector field in three-dimensional space with continuous components defined over a smooth surface having a chosen field of normal unit vectors orienting . Then the surface integral of over is
This integral is also called the flux of the vector field across .
This interactive figure calculates flux for parametrized surfaces. Be sure to click both the Surface button or the Field button to define your surface parametrization and your vector field definition.
This applet was developed for use with Interactive Calculus, published by Pearson.