Watt to dBW Converter
Power · unit-converter
Convert Watt to dBW with a fixed input and output unit, step-by-step formula line, and reference tables. Linear units use SI watt definitions; mechanical hp uses 550 ft·lbf/s; BTU/h uses the IT BTU; dBm/dBW are logarithmic relative to 1 mW and 1 W. The full Power Converter also includes PS/CV, TR, kVA/MVA, and ft·lb/s.
Calculator
From: Watt (w)
To: dBW (dbw)
About Watt
The watt is the SI unit of power (one joule per second). All linear units in this converter are defined by a fixed watt equivalent.
About dBW
dBW is a logarithmic power level relative to 1 W: P(W) = 10^(dBW/10). RF, microwave, and antenna work often use dBW with dBm.
How to convert watts to decibels relative to 1 w (dbw)
dBm/dBW are logarithmic power levels. P_W = 10^((dBm − 30) / 10), P_W = 10^(dBW / 10), and inverse mappings use 10 × log₁₀(·) with P_W > 0.
From Watt, multiply by 1 W per w to get watts, then apply the dBm formula (watts must be positive).
Examples
Example #1: Convert 10 w to dbw
10 w → 10 dbw
Example #2: Convert 30 w to dbw
30 w → 14.771213 dbw
Summary
To convert Watt to dBW, multiply by watts per w, then apply dBW: dBW = 10 × log₁₀(P_W), where P_W = value_w × 1. Watts must be positive.
Relationship context
You are converting between SI / decimal power (watts and prefixes) (Watts) and logarithmic RF levels (dBm) (Decibels relative to 1 W (dBW)). Log units (dBm/dBW) use base-10 definitions relative to 1 mW or 1 W; linear units map through watts first, then to or from the selected log unit. Only strictly positive power in watts maps to a real dB power value.
Conversion tables
| Watt (w) | dBW (dbw) |
|---|---|
| 0.1 | -10 |
| 1 | 0 |
| 2 | 3.0103 |
| 3 | 4.771213 |
| 4 | 6.0206 |
| 5 | 6.9897 |
| 6 | 7.781513 |
| 7 | 8.45098 |
| 8 | 9.0309 |
| 9 | 9.542425 |
| Watt (w) | dBW (dbw) |
|---|---|
| 10 | 10 |
| 20 | 13.0103 |
| 30 | 14.771213 |
| 40 | 16.0206 |
| 50 | 16.9897 |
| 60 | 17.781513 |
| 70 | 18.45098 |
| 80 | 19.0309 |
| 90 | 19.542425 |
| 100 | 20 |