Question

Using Excel, plot the internal temperature of a computer chip k=1.38 W/(m-K) that generated 2,000 W of power. The chip is 10 cm wide. Assume one side is at 40^oC and the other is at 45^oC

Answer 1

Solution:

Given,

k =1.38 W/(m-K)

q = 2,000 W

b = 10 cm = 0.1 m

T₁ = 40^oC = 273 + 40 = 313 k

T₂ = 45^oC = 273 + 45 = 318 k

For computer chip

For temperature variation requation for chip,

We have,

(T₁ - T_x)/(T₁ - T₂) = x/b

T_x = T₁ - x(T₁ - T₂)/b

Where,

T_x = Temperature variation within the chip

Following is the plot the internal temperature of a computer chip