What is the power ratio equivalent for 2 dB?

To determine the power ratio equivalent for 2 dB, it's important to understand the relationship between decibels (dB) and power ratios. The formula to convert decibels to a power ratio is:

[ \text{Power Ratio} = 10^{(\text{dB}/10)} ]

For 2 dB, the calculation would be:

[ \text{Power Ratio} = 10^{(2/10)} = 10^{0.2} ]

Calculating ( 10^{0.2} ) yields a value approximately equal to 1.58. This means that a power level increase of 2 dB corresponds to a power ratio of about 1.58:1.

This ratio indicates that the power is multiplied by a factor greater than 1, suggesting an increase rather than a specific standard ratio like 1:1 (which implies no change). Hence, the correct interpretation for an increase of 2 dB in terms of a power ratio reflects that it represents an increase but does not align with any of the provided simple ratios.

Given the options, the choice 1:1 signifies no change in power, which does not accurately represent an increase corresponding to