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Unformatted text preview: + Therefore on the circle described above 1 1 Re 2 2 x on circle z ax a = = Ã· = constant. (b) Use the result found in (a) to find the temperature in the shaded region shown for steady heat conduction (Laplaceâ€™s Equation). The temperature on the outer part (circle of radius 2) is 100 and the temperature on the inner part (circle of radius 1) is 50. Using superposition of solutions 2 2 x T a b x y = + + To set T to be 50 on the inner circle we can set T=50 at x=2, y=0. Likewise we set T=100 at x=4, y=0. ( 29 2 2 1 1 50 ,100 150, 200 2 4 , 150 200 a b a b a b x T x y x y = + = + â‡’ = = -âˆ´ =-+...
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- Fall '08