Power Density Question 1. A computer processor has 1 x 10^9 transistors on it. E

Question

Power Density Question

1. A computer processor has 1 x 10^9 transistors on it. Each transistor occupies an area 0.1 Mum^2. The operating voltage of the transistor is 1.5 V, under which 67 nA of current flows. a) Assuming all the transistors are operating at once, calculate the power density of the processor in units of W/cm^2. b). The processor is in contact with an environment that has an effective thermal conductivity of 10 W/m-K, and heat must travel a distance of 1mm before it is completely removed from the processor. What is the temperature rise of the processor if all the transistors are operating at once?

Explanation / Answer

a) Power of 1 transistor = VI = 1.005 * 10^-7 W

Total Power = 1.005 * 10^-7 * 1 *10^9 = 100.5 W

Total Area = 1* 10^9 * 0.1 *10^-8 = 1 cm^2

Power density = 100.5 W/cm^2

--------------------------------------------------------------------------

b) Temperature rise

T = Power / (Thermal Conductivity*Min Dist.)

= 100.5 / (10*.001)

= 10050 K

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.