Watts to dBm conversion
Effortlessly convert watts (W) to decibel-milliwatts (dBm) with our convenient Watts to dBm Conversion tool. Whether for telecommunications, signal strength calculations, or RF engineering, our converter provides accurate and quick results. Simply input the value in watts, and our tool will provide you with the equivalent power in dBm
What is Watts to dBm conversion
The conversion from watts (W) to decibel-milliwatts (dBm) requires the use of a logarithmic formula. The formula is as follows:
dBm = 10 * log10(P / 1mW)
Where P is the power in watts.
For example, let's convert 2 watts to dBm:
dBm = 10 * log10(2 / 1mW) dBm = 10 * log10(2000) dBm = 10 * 3.301 dBm = 33.01 dBm
Therefore, 2 watts is approximately equal to 33.01 dBm.
How to convert watts to dBm
The power P(dBm) in dBm is equal to 10 times the base 10 logarithm of 1000 times the power P(W) in watts (W) divided by 1 watt (W):
P(dBm) = 10 ⋅ log10( 1000 ⋅ P(W) / 1W) = 10 ⋅ log10( P(W) / 1W) + 30
so
1W = 30dBm
Example
Convert 20 watts to dBm:
P(dBm) = 10 ⋅ log10(1000⋅20W) = 43.0103dBm
Watt to dBm conversion table
Power (W) | Power (dBm) |
---|---|
0 W | not defined |
0+ W | -∞ dBm |
0.00001 W | -20 dBm |
0.0001 W | -10 dBm |
0.001 W | 0 dBm |
0.01 W | 10 dBm |
0.1 W | 20 dBm |
1 W | 30 dBm |
10 W | 40 dBm |
100 W | 50 dBm |
1000 W | 60 dBm |
10000 W | 70 dBm |
100000 W | 80 dBm |
1000000 W | 90 dBm |