Question

The power ratio 1.774 is equivalent to how many dB?

Answer 1

2.489 dB

Solution:

As per the question:

Power ratio,
`(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:

`(P')/(P)_(dB) = 10log_(10)(P')/(P)`

`(P')/(P)_(dB) = 10log_(10)* 1.774 = 10* 0.2489 = 2.489 dB`

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