Decibel-milliwatts (dBm) to Horsepower (hp) Conversion
Decibel-milliwatts
The decibel-milliwatt (dBm) is a unit of power expressed on a logarithmic scale relative to one milliwatt (1 mW). It is defined as dBm = 10 × log₁₀(P / 1 mW), where P is power in milliwatts. Used universally in RF engineering, telecommunications, and audio systems: Wi-Fi signal strength is expressed in dBm (typical values −30 to −90 dBm); a 0 dBm signal equals 1 mW; 30 dBm equals 1 W; −10 dBm equals 0.1 mW. Note: dBm cannot be converted with a simple multiplier — it requires the logarithmic formula.
Horsepower
Horsepower (hp) is a unit of power originally defined by James Watt in the 1780s to market steam engines against the work output of draft horses. The US mechanical horsepower equals exactly 745.69987158 watts. Multiple definitions exist: mechanical hp (745.7 W), metric hp (735.5 W), and electrical hp (746 W). In the automotive industry, engine power is expressed in horsepower in the US and UK markets, where 1 hp ≈ 0.7457 kW.
| Decibel-milliwatts (dBm) | Horsepower (hp) |
|---|---|
| 0.1 dBm | 1.3722585067805E-6 hp |
| 1 dBm | 1.6882467863736E-6 hp |
| 2 dBm | 2.1253767807456E-6 hp |
| 3 dBm | 2.6756908389179E-6 hp |
| 5 dBm | 4.2406841957316E-6 hp |
| 10 dBm | 1.3410220895991E-5 hp |
| 20 dBm | 0.00013410220895991 hp |
| 30 dBm | 0.0013410220895991 hp |
| 50 dBm | 0.13410220895991 hp |
| 100 dBm | 13410.220895991 hp |