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(a) Consider circuit board of thickness L, thermal conductivity k and a surface area of A. The left side of the wall at x=0 is

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(a) Consider circuit board of thickness L, thermal conductivity k and a surface area of A. The left side of the wall at x=0 is at temperature T1 and at the right side at x=L, the surrounding medium is at T with a heat transfer coefficient of h. Starting from the one-dimension differential equation dxd2T=0 with the boundary condition at x=L of kdxdT=h[T(L)T], show that the rate of heat transfer for the wall is q=k+hLkAh(T1T) (b) If k=12.0W/m.C,L=2mm,T1=60C,T=35C,h=30W/m2.C and the board is 10cm-high and 15cm-wide, determine the rate of heat transfer from the wall and the right side surface temperature of the wall at x=L. (5 Marks) (c) 20 rectangular aluminum fins (k=237W/m.C) of 2cm long and 2mm thick are attached to the right side of the wall. What percent is the increased of heat loss after attaching the fins? (10 Marks)

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