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Consider a server with an initial power consumption of 120 Watts at a frequency of 2.0 GHz and voltage of 1.2 V. If the server dynamically adjusts its frequency to 1.5 GHz while reducing voltage to 1.1 V, calculate the new power consumption. Determine the percentage reduction in power and assess the impact on energy efficiency.

Question

Consider a server with an initial power consumption of 120 Watts at a frequency of 2.0 GHz and voltage of 1.2 V. If the server dynamically adjusts its frequency to 1.5 GHz while reducing voltage to 1.1 V, calculate the new power consumption. Determine the percentage reduction in power and assess the impact on energy efficiency.

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Solution

The power consumption of a server is proportional to the frequency and the square of the voltage. This relationship can be expressed as:

P = k * f * V^2

where: P is the power consumption, k is a constant, f is the frequency, and V is the voltage.

Given the initial power consumption (P1), frequency (f1), and voltage (V1), we can calculate the constant k as follows:

k = P1 / (f1 * V1^2) = 120 Watts / (2.0 GHz * (1.2 V)^2)

Next, we can calculate the new power consumption (P2) at the reduced frequency (f2) and voltage (V2) using the same constant k:

P2 = k * f2 * V2^2

The percentage reduction in power can be calculated as:

% Reduction = ((P1 - P2) / P1) * 100%

Finally, the impact on energy efficiency can be assessed by comparing the initial and new power consumptions. A lower power consumption generally means higher energy efficiency, as the server is able to perform the same tasks while using less power. However, the actual impact on energy efficiency would also depend on other factors such as the workload of the server and the efficiency of the power supply.

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