Question

The power ratio 1.774 is equivalent to how many dB?

Answer 1

Answer:

2.489 dB

Solution:

As per the question:

Power ratio, $\frac{P'}{P} = 1.774$

The Equivalent of this power ratio in decibel or dB is calculated by taking the log of the power ratio as below:

$\frac{P'}{P}_{dB} = 10log_{10}\frac{P'}{P}$

$\frac{P'}{P}_{dB} = 10log_{10}\times 1.774 = 10\times 0.2489 = 2.489 dB$

Thus the value of the power ration in decibel comes out to be 2.489 dB