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In: Computer Science

The growth of clock rate is a factor of 1000, where the growth in power is...

The growth of clock rate is a factor of 1000, where the growth in power is a factor of 30. What is the reason behind that? Why can’t we reduce the power consumption anymore?

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Expert Solution

Solution: This question is trying to model the relationship between the power consumed by the CPU as well as the frequency at which it is clocked at. In order to increases, the clock rate you need more and more voltage, and the formula of power is V2/R, where R is the resistance and poses a fundamental restriction against the power produced within the system. The growth in power is less than the growth in the clock rate because power is a direct multiple of the voltage which when increased the power increases directly, on the other hand, the clock rate increases by a much larger factor which is because it operates in a different domain as compared to the voltage, clock-rate is the frequency and because of the avalanche breakdown and other semiconducting phenomena the circuits are able to clock at a much much higher frequency even due to a small change in the voltage while the power changed by so little as it is restricted by the resistance within the circuitry.

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