Kilowatt to dBm Converter
Power · unit-converter
Convert Kilowatt to dBm 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: Kilowatt (kw)
To: dBm (dbm)
About Kilowatt
One kilowatt is 1,000 W. Motor, heater, and grid-scale loads are often rated in kW.
About dBm
dBm is a logarithmic power level relative to 1 mW: P(W) = 10^((dBm − 30)/10). It is standard in RF and telecommunications; it is not a linear multiple of the watt.
How to convert kilowatts to decibels relative to 1 mw (dbm)
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 Kilowatt, multiply by 1000 W per kw to get watts, then apply the dBm formula (watts must be positive).
Examples
Example #1: Convert 10 kw to dbm
10 kw → 70 dbm
Example #2: Convert 30 kw to dbm
30 kw → 74.771213 dbm
Summary
To convert Kilowatt to dBm, multiply by watts per kw, then apply dBm: dBm = 10 × log₁₀(P_W × 1000), where P_W = value_kw × 1000. Watts must be positive.
Relationship context
You are converting between SI / decimal power (watts and prefixes) (Kilowatts) and logarithmic RF levels (dBm) (Decibels relative to 1 mW (dBm)). 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
| Kilowatt (kw) | dBm (dbm) |
|---|---|
| 0.1 | 50 |
| 1 | 60 |
| 2 | 63.0103 |
| 3 | 64.771213 |
| 4 | 66.0206 |
| 5 | 66.9897 |
| 6 | 67.781513 |
| 7 | 68.45098 |
| 8 | 69.0309 |
| 9 | 69.542425 |
| Kilowatt (kw) | dBm (dbm) |
|---|---|
| 10 | 70 |
| 20 | 73.0103 |
| 30 | 74.771213 |
| 40 | 76.0206 |
| 50 | 76.9897 |
| 60 | 77.781513 |
| 70 | 78.45098 |
| 80 | 79.0309 |
| 90 | 79.542425 |
| 100 | 80 |