Ask Question
5 August, 23:24

If there are 10 billion transistors (each of a square shape) uniformly (without space) distributed on a silicon chip with the squared area of 1 cm^2, what is the linear size of each unit?

+1
Answers (1)
  1. 6 August, 00:46
    0
    the transistors have L=1 mm of linear size

    Step-by-step explanation:

    For the silicon chip the area is A=1 cm² and for the transistors the area is At=L² (L=linear size). Then since N = 10 billion transistors of area At should fit in the area A

    A=N*At

    A=N*L²

    solving for L

    L = √ (A/N)

    Assuming that 1 billion=10⁹ (short scale version of billion), then

    L = √ (A/N) = √ (1 cm²/10⁹) = 1 cm / 10³ = 1 mm

    then the transistors have L=1 mm of linear size
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “If there are 10 billion transistors (each of a square shape) uniformly (without space) distributed on a silicon chip with the squared area ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers