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13 Nov 2019
Calculate the flux F*da through the torus
(5) Calculate the flux JF . da through the torus x = (3 + cosu) cosa, y = (3 + cos u) sin v, sin u of F = zk. The outward-pointing normal to the surface of the torus is N = (3 + cos u) (cos u cos v, cos u sin v, sin u). (With a negative sign in front, N would be the inward-pointing normal.) Check that the flux equals Jâ½FdV. Hint: The volume of the torus is 2Ï2ab2-6Ï2, where a is the major radius of the torus and b is the minor radius.
Calculate the flux F*da through the torus
(5) Calculate the flux JF . da through the torus x = (3 + cosu) cosa, y = (3 + cos u) sin v, sin u of F = zk. The outward-pointing normal to the surface of the torus is N = (3 + cos u) (cos u cos v, cos u sin v, sin u). (With a negative sign in front, N would be the inward-pointing normal.) Check that the flux equals Jâ½FdV. Hint: The volume of the torus is 2Ï2ab2-6Ï2, where a is the major radius of the torus and b is the minor radius.
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Trinidad TremblayLv2
17 Mar 2019