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Solved: Circulation Consider the following vector fields F
Chapter 13, Problem 48E(choose chapter or problem)
Consider the following vector fields F and closed oriented curves C in the plane (see figures).
a. Based on the picture, make a conjecture about whether the circulation of F on C is positive, negative, or zero.
b. Compute the circulation and interpret the result.
\(\mathbf{F}=\frac{\langle x, y\rangle}{\left(x^{2}+y^{2}\right)^{1 / 2}}\); C is the boundary of the square with vertices \((\pm 2, \pm 2)\), traversed counterclockwise.
Questions & Answers
QUESTION:
Consider the following vector fields F and closed oriented curves C in the plane (see figures).
a. Based on the picture, make a conjecture about whether the circulation of F on C is positive, negative, or zero.
b. Compute the circulation and interpret the result.
\(\mathbf{F}=\frac{\langle x, y\rangle}{\left(x^{2}+y^{2}\right)^{1 / 2}}\); C is the boundary of the square with vertices \((\pm 2, \pm 2)\), traversed counterclockwise.
ANSWER:Solution 48E
Step 1
