The temperature of a computer chip is measured. The chip is square with dimensions 12.7mm by 12.7mm with constant temperature Tc = 75 degrees C. Note: Since this chip is of constant temperature, it can be a single node in your thermal resistance diagram. Below the chip there is a circuit board of thickness Lp = 6 mm and kb = 1 W/m-K There is a contact resistance between the chip and the circuit board with thermal conductivity R = 104 m-K/W There is natural convection at the bottom of the circuit board Tinfinity,i = 15 degrees C and and h = 45 W/m-K The top surface of the chip is exposed to forced convection ho = 1000 W/m-K and Tinfinity,o = 15 degrees C At the top surface, 16 pin fins with convective ends are attached to the chip. The diameter of each fin, Dp = 1.5 mm, the length of each fin, Lp There is no thermal resistance between the fins and the chip. Questions A. Create a sketch of the geometry and include all given information on your sketch B. Sketch the thermal resistance circuit. C. Work with the fins: a. Write the equation for qf for one fin b. Write the equation for Rf = thetab/qf for one fin C. Calculate the value of Rf for one fin and make sure the units are K/W d. Since we have 16 fins R16f = Rf/16 D. Calculate all the resistances in units of Kelvin per Watt (K/W) a. Under the chip, assume all areas are same as the chip area. = 15 mm, and the thermal conductivity Kp = 450W/mK. b. Above the chip, we have the 16 fins plus we also have the exposed board area, which is total area of the chip minus the base area of the 16 fins. E. Calculate the maximum heat that can be dissipated