Solved: Radial fields and zero circulation Consider the
Chapter 14, Problem 42(choose chapter or problem)
Radial fields and zero circulation Consider the radial vector fields F = r> _ r _p, where p is a real number and r = 8x, y, z9. Let C be any circle in the xy-plane centered at the origin. a. Evaluate a line integral to show that the field has zero circulation on C. b. For what values of p does Stokes Theorem apply? For those values of p, use the surface integral in Stokes Theorem to show that the field has zero circulation on C.
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