P.4 (Application on the First Law of Thermodynamics with heat transfer) A silicon chip measuring 5 mm on a side and 1 mm in thickness is embedded in a ceramic substrate. At steady state, the chip has an electrical power input of 0.225 W. The top surface of the chip is exposed to a coolant whose temperature is 20°C. The rate of energy transfer by heat between the chip and the coolant is given by 4=hA(T, T), where T, and T, are the surface and coolant temperatures, respectively, A is the surface area, and If heat transfer between the chip and the substrate is negligible, determine the surface temperature of the chip, in °C.

P.4 (Application on the First Law of Thermodynamics with heat transfer) A silicon chip measuring 5 mm on a side and 1 mm in thickness is embedded in a ceramic substrate. At steady state, the chip has an electrical power input of 0.225 W. The top surface of the chip is exposed to a coolant whose temperature is 20°C. The rate of energy transfer by heat between the chip and the coolant is given by 4=hA(T, T), where T, and T, are the surface and coolant temperatures, respectively, A is the surface area, and If heat transfer between the chip and the substrate is negligible, determine the surface temperature of the chip, in °C.

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

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Question

P.4 (Application on the First Law of Thermodynamics with heat transfer)
A silicon chip measuring 5 mm on a side and 1 mm in thickness is embedded in a ceramic substrate. At steady
state, the chip has an electrical power input of 0.225 w. The top surface of the chip is exposed to a coolant
whose temperature is 20°C. The rate of energy transfer by heat between the chip and the coolant is given by
9= hA (T, - T), where T, and T, are the surface and coolant temperatures, respectively, A is the surface area,
and If heat transfer between the chip and the substrate is negligible, determine the surface temperature of the
chip, in °C.

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