a) Calculate the curl of the vector v = (2rz + 3y*)j + 4yz²k. b) Calculate circulation of the vector v fr.a. dl. along the square path on the y - z plane that joins the points (0,0, 0) → (0, 1, 0) → (0, 1, 1) → (0, 0, 1) → (0, 0, 0) c) Calculate the flux of the curl of the vector v through the surface bound by the path in part b) | (V x v) · dS. Is the result of this integral the same that you found for the integral in part b)? Why?
a) Calculate the curl of the vector v = (2rz + 3y*)j + 4yz²k. b) Calculate circulation of the vector v fr.a. dl. along the square path on the y - z plane that joins the points (0,0, 0) → (0, 1, 0) → (0, 1, 1) → (0, 0, 1) → (0, 0, 0) c) Calculate the flux of the curl of the vector v through the surface bound by the path in part b) | (V x v) · dS. Is the result of this integral the same that you found for the integral in part b)? Why?
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Transcribed Image Text:a) Calculate the curl of the vector
v = (2rz + 3y)j + 4yz²k.
b) Calculate circulation of the vector v
fr.d.
dl.
along the square path on the y
- z plane that joins the points
(0,0,0) → (0, 1, 0) → (0, 1, 1) → (0,0, 1) → (0,0, 0)
c) Calculate the flux of the curl of the vector v through the surface bound
by the path in part b)
|(V x v) · ds.
Is the result of this integral the same that you found for the integral in
part b)? Why?
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