kilowatts to dB-watts Converter

Formula:

The formula to convert power from kilowatts to decibel-watts is:

Power_{(decibel-watts)} = 10 × Math.log(Power_(kilowatts) × 1e3) × Math.LOG10E

Problem at hand:

We need to convert given power of 1 kilowatts to decibel-watts.

Given:

The given power value is

Power_(Kilowatts) = 1

Substitution:

Substitute Power_(kilowatts) = 1 in the conversion formula.

Power_{(decibel-watts)} = 10 × Math.log(Power_(kilowatts) × 1e3) × Math.LOG10E

Power_{(decibel-watts)} = 10 × Math.log(1 × 1e3) × Math.LOG10E

Simplification:

Solving the right-hand side value.

Power_{(Decibel-watts)} = 30

Conclusion:

Therefore, given power of 1 kilowatts is equal to 30 decibel-watts.