dB-milliwatts to hp (electric) Converter

Enter Decibel-milliwatts:dBm

Horsepower (Electric):

hp(E)

⇅ Horsepower (Electric) to Decibel-milliwatts Converter

Conversion Steps for:
1 Decibel-milliwatts to Horsepower (Electric)

The following is a step by step solution to convert power of 1 decibel-milliwatts to horsepower (electric).

Formula:

The formula to convert power from decibel-milliwatts to horsepower (electric) is:

Power_{(horsepower (electric))} = Math.pow(10,(Power_{(decibel-milliwatts)}/10)) × 1e-3/746

Problem at hand:

We need to convert given power of 1 decibel-milliwatts to horsepower (electric).

Given:

The given power value is

Power_{(Decibel-milliwatts)} = 1

Substitution:

Substitute Power_{(decibel-milliwatts)} = 1 in the conversion formula.

Power_{(horsepower (electric))} = Math.pow(10,(Power_{(decibel-milliwatts)}/10)) × 1e-3/746

Power_{(horsepower (electric))} = Math.pow(10,(1/10)) × 1e-3/746

Simplification:

Solving the right-hand side value.

Power_{(Horsepower (Electric))} = 0.00000168757

Conclusion:

Therefore, given power of 1 decibel-milliwatts is equal to 0.00000168757 horsepower (electric).

{
  "conversion": "decibel_milliwatt-horsepower_electric",
  "x_slug": "decibel_milliwatt",
  "y_slug": "horsepower_electric",
  "x": "dBm",
  "y": "hp(E)",
  "x_additional": "dB-milliwatts",
  "y_additional": "hp (electric)",
  "x_desc": "Decibel-milliwatts",
  "y_desc": "Horsepower (Electric)",
  "category": "Power",
  "symbol": "m",
  "formula": "Math.pow(10,(x/10))*1e-3/746",
  "precision": 11
}