Chapter 1, Problem 1.26P

A square isothermal chip is of width $w=5\text{mm}$ on aside and is mounted in a substrate such that its side andback surfaces are well insulated; the front surface isexposed to the how of a coolant at $T_{\infty }=15°\text{C}$ . Frontreliability considerations, the chip temperature must notexceed $T=85°\text{C}$ .

If the coolant is air and the corresponding convectioncoefficient is $h=200{\text{W/m}}^{\text{2}}\cdot \text{K}$ , what is the maximumallowable chip power? If the coolant is a dielectricliquid for which $h=300{\text{W/m}}^{\text{2}}\cdot \text{K}$ , what is the maximum allowable power?