Sketch the equivalent thermal circuit to stead state


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Q: Approximately 10 6 discrete electrical components can be placed on a single integrated circuit (chip), with electrical heat dissipation as high as 30,000 W/m2 · the chip, which is very thin. is exposed to a dielectric liquid at its outer surface with ho = 1000 W/m2 · K and T8.o = 20°C, and is joined to a circuit board at its inner surface. The thermal contact resistance between the chip and the board is 10-4 m2 · K/W, and the board thickness and thermal conductivity are Lb = 5 mm and kb = 1 W/m · K, respectively. The other surface of the board is exposed to ambient air for which hi = 40 W/m2 · K and T8,i = 20°C.

(a) Sketch the equivalent thermal circuit corresponding to steady-state conditions. In variable form label appropriate resistances, temperatures, and heat fluxes.

(b) Under steady-state conditions for which the chip heat dissipation is qnc = 30,000 W/m2 · what is the chip temperature?

(c) The maximum allowable heat flux, qc,m, is determined by the constraint that the chip temperature must not exceed 85°C. Determine qcm for the fore-going conditions. If air is used in lieu of the dielectric liquid, the convection coefficient is reduced by approximately an order of magnitude. What is the value of qcm for ho = 1 00 W/m2 · K? With air cooling, can significant improvements be realized by using an aluminum oxide circuit board and/or by using a conductive paste at the chipboard interface for which Ri,c = 10-5 m2 · K/W?

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Electrical Engineering: Sketch the equivalent thermal circuit to stead state
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