Let I be the flux of F = ey , 2xex2 , z2 through the upper hemisphere S of the unit
Chapter 17, Problem 17(choose chapter or problem)
Let I be the flux of F = ey , 2xex2 , z2 through the upper hemisphere S of the unit sphere. (a) Let G = ey , 2xex2 , 0 . Find a vector field A such that curl(A) = G. (b) Use Stokes Theorem to show that the flux of G through S is zero. Hint: Calculate the circulation of A around S. (c) Calculate I . Hint: Use (b) to show that I is equal to the flux of 0, 0, z2 through S.
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