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EE2 Physics for Electrical Engineers-Fall 2017 sokoll 7. A modern silicon \"FinF

ID: 2248851 • Letter: E

Question

EE2 Physics for Electrical Engineers-Fall 2017 sokoll 7. A modern silicon "FinFET" transistor has an active volume (the volume needed for transistor 10-9 meters). How many silicon atoms are action) of 15nmx100nmx 50nm (1 nanometer, nm, there in this volume? A grain of sand (silica - sio,) is roughly a cube about 0.5 mm on each side. Assuming you remove all of the Oxygen, how many active transistor volumes could you make from the grain of sand? 8. Order of magnitude estimates a) Assuming you are paying for your Streetman text by the typed character, calculate the c character (letter). ost of a b) Now assume you paid for your laptop (or desktop or smartphone... indicate which you choose) sed on the transistor count of the CPU chip inside (Intel or AMD or other), calculate the cost of each transistor. (A Google search may be helpful to get transistor count, use the most up to date information you can find... !expect everyone to have different answers, I'll compile the data and show it in class... to make it easier to do this use the table format below) Device CPU chip (name) Transistor Count Cost per transistor Note that you have calculated a worst-case (highest) cost per transistor in this problem. The assum s that the entire cost is the CPU and the rest of the device comes for free.

Explanation / Answer

side of each silicon grain=0.5mm

The volume of silicon grain is=(0.5x0.5x0.5)mm

                                          =125x10-6m

The volume of silicon finfet is given by=(15x100x50)x10-9m

                                                      =75x10-6m

From the grain of sand we will make (125/75) finfet volumes that is given by approx 1.67