The discussion revolves around a problem related to Stokes' Theorem, with participants examining their attempts to solve a specific integral involving the curl of a vector field. The original poster expresses concern about the complexity of their solution and whether it indicates an error.
Some participants have offered guidance regarding potential mistakes in the calculations, specifically concerning the sign of the z component of the curl and the formulation of the integrand. There is an acknowledgment of errors found in the original attempts, but no consensus on the overall approach has been reached.
Participants note discrepancies in the problem setup, such as the radius of a circle in the xy plane, indicating that assumptions may need to be revisited. The discussion reflects a collaborative effort to clarify the problem without providing direct solutions.
jegues said:
)LCKurtz said:That is exactly the way to do the problem, but you did make a mistake. Check your sign on the z component of curl F. But where did you get that integrand for I? It should be curl F dot k which isn't 12xy + 6y2. That mistake caused all the extra work (think of it as good practice
