watts to dB-milliwatts Converter

Formula:

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

Power_{(decibel-milliwatts)} = 10 × Math.log(Power_(watts) × 1000) × Math.LOG10E

Problem at hand:

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

Given:

The given power value is

Power_(Watts) = 1

Substitution:

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

Power_{(decibel-milliwatts)} = 10 × Math.log(Power_(watts) × 1000) × Math.LOG10E

Power_{(decibel-milliwatts)} = 10 × Math.log(1 × 1000) × Math.LOG10E

Simplification:

Solving the right-hand side value.

Power_{(Decibel-milliwatts)} = 30

Conclusion:

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