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17.5 Vector Fields, Divergence, Curl, and Line Integrals

This applet allows you to visualize vector fields and their divergence and curl, as well as work done by a field. Choose a field from the drop-down box. Drag the curl paddle and divergence dot around the field to see how these change. Select a path to see the work done by the field along the path. Slightly modified version of the worksheet by George Sturr (www.geogebra.org/u/george+sturr).
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 f such that the gradient of f is equal to the vector field?