13. Stokes’ Theorem
Curl And Circulation — Quiz
Test your understanding of curl and circulation with 5 practice questions.
Practice Questions
Question 1
What does circulation around a closed curve measure?
Question 2
Find the curl of the vector field $\mathbf{F}=\langle -y, x, 0\rangle$.
Question 3
Suppose a vector field has $\nabla\times\mathbf{F}=\mathbf{0}$ everywhere in a simply connected region. What does Stokes' theorem imply about the circulation around any closed curve in that region?
Question 4
According to Stokes' theorem, the circulation around a boundary curve equals which expression?
Question 5
If the curl vector points in the positive $z$ direction, what is the positive orientation of the boundary curve when viewed from above?