Problem Set #5
Due Thursday May 6
1.
Shown below is a diagram of a circuit board with dimensions 14cm x 8 cm, on which are located 16
integrated circuits (IC’s) with crosssectional dimensions 1cm x 1cm.
The circuit board is 1mm thick,
has an average conductivity of 165W/mK, and each IC generates heat at a rate of 1.6W that is
conducted to the board.
The top and bottom edges of the circuit board are maintained at fixed
temperatures of 25°C, and the left and right edges are exposed to air, and may be considered insulated.
As discussed in lecture, a twodimensional model of the temperature field in the circuit board can be
obtained by averaging over its thickness, in the zdirection.
Use such a model with the relaxation
method to calculate the temperature distribution in the region 0
≤
x
≤
14cm and 0
≤
y
≤
8cm.
Treat the
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm
1 cm
2 cm
2 cm
2 cm
1 cm
T=25°C
T=25°C
Insulated
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 Spring '10
 gohan
 Energy, Heat, 1cm, 1mm, 0 Cm, 1.6W

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