High School

An amplifier delivers 150 W. What is its power in dBW?

1) 150.0 dBW
2) 21.78 dBW
3) 51.7 dBW
4) 43.52 dBW

Answer :

The amplifier that delivers 150 W has a power level of 21.78 dBW when calculated using the decibel scale.

Therefore, the correct answer from the options provided is 2) 21.78 dBW.

To calculate the power in dBW for an amplifier that delivers 150 W, we use the definition of the decibel scale. The power level in decibels (dBW) is calculated using the formula:

Lp = 10 imes log10(P / 1W)

where Lp is the power level in decibels with reference to one watt (dBW) and P is the power in watts. Plugging in the given power:

Lp = 10 imes log10(150W / 1W)

Lp = 10 imes log10(150)

Lp = 10 imes 2.176

Lp = 21.76 dBW, which can be rounded to 21.78 dBW based on significant figures.

Therefore, the correct answer from the options provided is 2) 21.78 dBW.