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Nat2105 [25]
3 years ago
12

For a new version of processor, suppose the capacitive load remains, how much more energy will the processor consume if we incre

ase voltage by 20percent and increase clock rate by 20percent?
I do not want you to answer the question for me, but please give me the step to solve this. How do I solve this problem.
Computers and Technology
1 answer:
xxMikexx [17]3 years ago
4 0

Answer:

72.80 % more energy will be consumed.

Explanation:

First of all, let us have a look at the formula of energy for a processor.

E = CV^2f

Where, E is the energy

C is the capacitance

V is the voltage and

f is the clock rate.

Let E_1 be the energy of older processor.

C_1 be the capacitance of older processor.

V_1 be the voltage of older processor

f_1 be the capacitance of older processor

So, E_1 = C_1V_1^2f_1 ....... (1)

and

Let E_2 be the energy of newer processor.

C_2 be the capacitance of newer processor.

V_2 be the voltage of newer processor

f_2 be the capacitance of newer processor

E_2 = C_2V_2^2f_2 ....... (2)

Dividing equation (2) with equation (1):

\dfrac{E_2}{E_1} = \dfrac{C_2V_2^2f_2}{C_1V_1^2f_1}

As per given statement:

C_1=C_2

V_2=1.2\times V_1

f_2=1.2\times f_1

Putting the values above:

\dfrac{E_2}{E_1} = \dfrac{C_1\times (1.2V_1)^2\times 1.2f_1}{C_1V_1^2f_1}\\\Rightarrow \dfrac{E_2}{E_1} = \dfrac{(1.2)^2\times 1.2}{1}\\\Rightarrow \dfrac{E_2}{E_1} = 1.728\\\Rightarrow \bold{E_2 = 1.728 \times E_1}

Energy consumed by newer processor is <em>1.728 </em>times the energy consumed by older processor.

OR

<em>72.80 %</em> more energy will be consumed by the newer processor.

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