Student handout: Visualization of Curl

Static Fields 2023
  • A component of the curl of a vector field (at a point) is the circulation per unit area around an infinitesimal loop.
  • How to predict the sign and relative magnitude of the curl from graphs of a vector field.
  • (Optional) How to calculate the curl of a vector field using computer algebra.
What students learn
  • A component of the curl of a vector field (at a point) is the circulation per unit area around an infinitesimal loop.
  • How to predict the sign and relative magnitude of the curl from graphs of a vector field.
  • (Optional) How to calculate the curl of a vector field using computer algebra.

For each of the vector fields below, decide whether the \(z\)-component of the curl is postive, negative, or zero in each quadrant. Be prepared to justify your reasoning.


Author Information
Corinne Manogue
Keywords
Learning Outcomes