Stokes Theorem between the work done by a force field and the curl of that force field

This interactive simulation is an educational tool that demonstrates the core concepts of work, curl, and Stokes' Theorem in a force field. It illustrates that the total work done on a particle moving along a closed path, calculated via a line integral, is directly related to the curl of the force field enclosed by that path. A non-zero curl indicates a "rotational" or "swirling" field, which does non-zero work on a closed loop, classifying it as non-conservative. Conversely, a field with zero curl does no net work on a closed loop and is therefore considered conservative. The simulation thus provides a tangible, visual representation of the fundamental relationship articulated by Stokes' Theorem.

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