Ask Question
22 April, 01:23

A square silicon chip (k = 152 W/m·K) is of width 7 mm on a side and of thickness 3 mm. The chip is mounted in a substrate such that its side and back surfaces are insulated, while the front surface is exposed to a coolant. If 6 W are being dissipated in circuits mounted to the back surface of the chip, what is the steady-state temperature difference between the back and front surfaces?

+5
Answers (1)
  1. 22 April, 01:29
    0
    The steady-state temperature difference is 2.42 K

    Explanation:

    Rate of heat transfer = kA∆T/t

    Rate of heat transfer = 6 W

    k is the heat transfer coefficient = 152 W/m. K

    A is the area of the square silicon = width^2 = (7/1000) ^2 = 4.9*10^-5 m^2

    t is the thickness of the silicon = 3 mm = 3/1000 = 0.003 m

    6 = 152*4.9*10^-5*∆T/0.003

    ∆T = 6*0.003/152*4.9*10^-5 = 2.42 K
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A square silicon chip (k = 152 W/m·K) is of width 7 mm on a side and of thickness 3 mm. The chip is mounted in a substrate such that its ...” in 📗 Engineering if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers