What is the power ratio for 2 dB?

What is the power ratio for 2 dB?

• A. 1.2:1
• B. 1.413:1
• C. 1.585:1
• D. 2:1

Answer: (C)

To find the power ratio corresponding to a 2 dB increase, we use the formula that relates decibels to power ratio. The formula is: \[ \text{Power Ratio} = 10^{(dB/10)} \] Substituting 2 for the decibel value: \[ \text{Power Ratio} = 10^{(2/10)} = 10^{0.2} \] To calculate \(10^{0.2}\), we can find its approximate value, which is about 1.5849. This value rounds to approximately 1.585 when expressed in the required format as a ratio. Thus, the correct power ratio for 2 dB is approximately 1.585:1. This reflects the increase in power level due to a 2 dB increase in signal strength, making it the right choice in this context.

To find the power ratio corresponding to a 2 dB increase, we use the formula that relates decibels to power ratio. The formula is:

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

Substituting 2 for the decibel value:

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

To calculate (10^{0.2}), we can find its approximate value, which is about 1.5849. This value rounds to approximately 1.585 when expressed in the required format as a ratio.

Thus, the correct power ratio for 2 dB is approximately 1.585:1. This reflects the increase in power level due to a 2 dB increase in signal strength, making it the right choice in this context.