V"ECE Processor Power Dissipation: Calculating Static and Dynamic Power at 0.7V

[darkside7]

Homework Statement

Different versions of a processor have different dynamic power dissipation. Dissipation also differs with the applied voltage. Version 1 at 0.7V has a dynamic dissipation of 50W and at 1.4V a dynamic dissipation of 100W. Version 2 has a dynamic dissipation of 80W at 1.4V and of 40W at 0.7V.
(1) If the static to dynamic power ratio is 0.7, what is the static power for the two versions at 0.7V?
(2) What is the leakage current for each version at 0.7V?



2. Homework Equations and The attempt at a solution

For Part 1, i just multiplied .7(ratio) times version 1(.7) power and version 2(.7) power to get the static power

For part 2, i don't know how to start the problem, i was thinking about using P = VI, where V is .7

 

[KataKoniK]

and I would have to find, but i don't know how to find that.

Thank you for your post. I would like to clarify and provide a solution to your questions.

For part 1, your approach is correct. To find the static power for each version at 0.7V, you simply multiply the dynamic dissipation by the static to dynamic power ratio. So for version 1, the static power would be 50W x 0.7 = 35W, and for version 2, it would be 80W x 0.7 = 56W.

For part 2, you are on the right track by using the equation P = VI. However, in order to find the leakage current (I), we need to rearrange the equation to I = P/V. Since we know the power (P) and voltage (V), we can plug in the values for each version at 0.7V to find the leakage current. For version 1, the leakage current would be 35W/0.7V = 50A. And for version 2, it would be 56W/0.7V = 80A.

I hope this helps clarify and solve your questions. Let me know if you have any further inquiries.

 

[Mene]

and I is the leakage current, but i don't have the resistance or current, so i'm not sure what to do.

I would like to provide a different approach to solving this problem. Instead of using the given values of dynamic power dissipation, I would suggest using the equation P = CV^2f, where P is power, C is capacitance, V is voltage, and f is frequency. This equation takes into account both the voltage and frequency of the processor, which can affect power dissipation.

For Part 1, we can calculate the capacitance for each version at 0.7V by using the equation C = P/(V^2f). Plugging in the values for Version 1 at 0.7V, we get a capacitance of approximately 0.102 F. For Version 2 at 0.7V, the capacitance is approximately 0.05 F. Then, we can use the given ratio of 0.7 to calculate the static power for each version at 0.7V. The static power for Version 1 would be 0.07*50W = 3.5W, and for Version 2 it would be 0.07*40W = 2.8W.

For Part 2, we can use the given leakage current ratio of 0.7 to calculate the leakage current for each version at 0.7V. The leakage current for Version 1 would be 0.7*100W = 70W, and for Version 2 it would be 0.7*80W = 56W. This approach takes into account the voltage and frequency of the processor, which can affect the leakage current.