dBm to Watts

P = 10^((dBm − 30) / 10)

Quick answer

This calculator solves P = 10^((dBm - 30) / 10) for Power. With Power (dBm) 0 dBm, the result is 1 mW. It solves in 2 directions, so you can enter the values you have and get the one you need.

Calculator

Power (mW)
—

Formula

P = 10^((dBm - 30) / 10)

Description

dBm is an absolute power measurement referenced to 1 milliwatt (0.001W), making 0 dBm exactly equal to 1mW. Unlike plain dB which is a ratio, dBm gives you an actual power level. It is the standard unit in RF engineering, telecommunications, and fiber optics because it allows signal power levels spanning many orders of magnitude to be expressed as manageable numbers. The conversion subtracts 30 because 1mW = 10^(-3)W, and -3 in the exponent becomes -30 when scaled by the factor of 10 in the dB formula.

Variables

  • dBm — Absolute power level referenced to 1mW
  • P — Power in watts (W)

Practical Notes

Common reference points: 0 dBm = 1mW, 10 dBm = 10mW, 20 dBm = 100mW, 30 dBm = 1W, -30 dBm = 1µW. WiFi transmitters typically operate at 15-20 dBm (30-100mW). Cell towers transmit at 43-46 dBm (20-40W). The dBm scale is implicitly referenced to 50Ω impedance in RF systems and 600Ω in audio.

Symbols and units

Symbol Meaning Default unit Accepted units
dBm Power (dBm) dBm dBm
W Power mW µW, mW, W, kW

Step by step

  1. 1. What you know: Power (dBm) 0 dBm
  2. 2. The relation: P = 10^((dBm - 30) / 10)
  3. 3. Substitute: dBm = 0 dBm
  4. 4. Result: Power = 1 mW

Worked examples

Minimum range

Given: Power (dBm) -2 dBm

Result: Power = 0.631 mW

Low range

Given: Power (dBm) -20 dBm

Result: Power = 10 µW

Typical

Given: Power (dBm) 0 dBm

Result: Power = 1 mW

High range

Given: Power (dBm) 30 dBm

Result: Power = 1 W

Maximum range

Given: Power (dBm) 0.3 dBm

Result: Power = 1.072 mW

Solving for each variable

Solve for Power

Power (dBm) -2 dBm → 0.631 mW

Solve for Power (dBm)

Power 100 µW → -10 dBm

How Power changes with Power (dBm)

Power (dBm) (input) Power (result)
0 dBm 1 mW
0 dBm 1 mW
0 dBm 1 mW
0 dBm 1 mW
0 dBm 1 mW
0 dBm 1 mW
0 dBm 1 mW
0 dBm 1 mW
0 dBm 1 mW
0 dBm 1 mW

The same result in other units

Unit Value
µW 1000
mW 1
W 0.001

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Frequently asked questions

How do you calculate dBm to Watts?

Use P = 10^((dBm - 30) / 10). With Power (dBm) 0 dBm, Power works out to 1 mW.

What is the formula for dBm to Watts?

The formula is P = 10^((dBm - 30) / 10). dBm is an absolute power measurement referenced to 1 milliwatt (0.001W), making 0 dBm exactly equal to 1mW.

How do you find Power (dBm) when you know the other values?

Rearrange for Power (dBm): with Power 100 µW, Power (dBm) is -10 dBm.

What units does dBm to Watts use?

Power is shown in µW, mW, W. Values are held in SI base units internally, so you can mix prefixes without converting by hand.

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