a) Provide a resistance diagram labeling appropriate variables associated with this problem. b) Determine a symbolic expression for the temperature of the chip T... c) Calculate the chip temperature for the given
a) Provide a resistance diagram labeling appropriate variables associated with this problem. b) Determine a symbolic expression for the temperature of the chip T... c) Calculate the chip temperature for the given
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![Approximately 106 discrete electrical components are placed on a single integrated circuit (chip) with
electrical heat dissipation of q = 30,000 W/m². The chip, which is very thin, is exposed to a
dielectric liquid at its outer surface, with ho = 450 W/m²/K and To= 20°C, and is joined to a circuit
board at its inner surface. The thermal contact resistance between the chip and the board is
R = 104 m² K/W, and the board thickness and thermal conductivity are L = 4 mm and
00,0
kb = 0.95 W/m/K, respectively. The other surface of the board is exposed to ambient air for which
hi = 30 W/m²/K and T = 20°C.
a) Provide a resistance diagram labeling
appropriate variables associated with this
problem.
b) Determine a symbolic expression for the
temperature of the chip T.
c) Calculate the chip temperature for the given
parameters.
Coolant
ho
00,01
Air
Too,i hi
三
三
-Chip q Te
-Thermal contact resistance, Re
-Board, kp](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2587a113-5ca6-415a-ac64-2fd0e756bc9a%2Fce94554f-470b-444a-98dc-76cf2e15241d%2Fzy4s48r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Approximately 106 discrete electrical components are placed on a single integrated circuit (chip) with
electrical heat dissipation of q = 30,000 W/m². The chip, which is very thin, is exposed to a
dielectric liquid at its outer surface, with ho = 450 W/m²/K and To= 20°C, and is joined to a circuit
board at its inner surface. The thermal contact resistance between the chip and the board is
R = 104 m² K/W, and the board thickness and thermal conductivity are L = 4 mm and
00,0
kb = 0.95 W/m/K, respectively. The other surface of the board is exposed to ambient air for which
hi = 30 W/m²/K and T = 20°C.
a) Provide a resistance diagram labeling
appropriate variables associated with this
problem.
b) Determine a symbolic expression for the
temperature of the chip T.
c) Calculate the chip temperature for the given
parameters.
Coolant
ho
00,01
Air
Too,i hi
三
三
-Chip q Te
-Thermal contact resistance, Re
-Board, kp
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