dBm to Kilowatt Converter

Power · unit-converter

Convert dBm to Kilowatt 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: dBm (dbm)

To: Kilowatt (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.

About Kilowatt

One kilowatt is 1,000 W. Motor, heater, and grid-scale loads are often rated in kW.

How to convert decibels relative to 1 mw (dbm) to kilowatts

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.

To reach Kilowatt, convert dBm → W, then divide by the watt factor for kw (1000 W per 1 kw).

Examples

Example #1: Convert 10 dbm to kilowatt

10 dbm0.00001 kw

Example #2: Convert 30 dbm to kilowatt

30 dbm0.001 kw

Summary

To convert dBm to Kilowatt, first convert dBm to watts: P_W = 10^((dBm − 30)/10). Then divide by the watt factor for kw: value_kw = P_W / 1000.

Relationship context

You are converting between logarithmic RF levels (dBm) (Decibels relative to 1 mW (dBm)) and SI / decimal power (watts and prefixes) (Kilowatts). 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

dBm (dbm)Kilowatt (kw)
0.10.0000010233
10.0000012589
20.0000015849
30.0000019953
40.0000025119
50.0000031623
60.0000039811
70.0000050119
80.0000063096
90.0000079433
dBm (dbm)Kilowatt (kw)
100.00001
200.0001
300.001
400.01
500.1
601
7010
80100
901,000
10010,000