This applet allows you to visualize vector fields and their divergence and curl, as well as work done by a field.[br][br]Choose a field from the drop-down box. Drag the curl paddle and divergence dot around the field to see how these change.[br][br]Select a path to see the work done by the field along the path.[br][br]Slightly modified version of the worksheet by George Sturr ([url]http://tube.geogebra.org/user/profile/id/13883[/url]).

Find a vector field from among the choices given for which the work done along any closed path you make is zero. Can you find a scalar function [i]f[/i] such that the gradient of [i]f[/i] is equal to the vector field?