dBm to Watts Calculator

dBm to Watts Calculator

Convert between dBm, dBW and watts, milliwatts or microwatts — and the RMS, peak and peak-to-peak voltage that power makes across a 50 Ω (or any) load. Enter whichever you know.

dBm, watts and volts

dBm ⇄ W ⇄ dBW ⇄ volts
Fill in that field; the others are locked and show the converted values.
50 Ω for most RF and test equipment, 75 Ω for video and cable TV, 600 Ω for old audio lines.
The power delivered into a resistive load of the impedance you entered, with the RMS voltage a meter would read across it. The dots show the size of the RMS current; a real RF current alternates millions of times a second.
100mWExample

+20 dBm into 50 Ω

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dBm, watts and volts

P = 1 mW × 10dBm/10;   dBm = 10 log10(P ÷ 1 mW) = dBW + 30;   VRMS = √(P × Z);   Vpp = 2√2 × VRMS
dBm
decibels relative to one milliwatt; 0 dBm = 1 mW, 30 dBm = 1 W
dBW
decibels relative to one watt; dBW = dBm − 30
Z
the load resistance the power is delivered into
dBµV
voltage level relative to 1 µV: 20 log10(VRMS ÷ 1 µV)

Worked example

+20 dBm into 50 Ω
P = 1 mW × 1020/10 = 1 mW × 100 = 100 mW = −10 dBW
VRMS = √(0.1 × 50) = √5 = 2.236 V
Peak = 3.162 V; peak-to-peak = 6.325 V
Current = 2.236 V ÷ 50 Ω = 44.72 mA; level = 126.99 dBµV

Common power levels into 50 Ω

dBmdBWPowerRMS voltagePeak-to-peak (sine)
−100 dBm−130 dBW0.1 pW2.236 µV6.325 µV
−80 dBm−110 dBW10 pW22.36 µV63.25 µV
−60 dBm−90 dBW1 nW223.6 µV632.5 µV
−40 dBm−70 dBW100 nW2.236 mV6.325 mV
−30 dBm−60 dBW1 µW7.071 mV20 mV
−20 dBm−50 dBW10 µW22.36 mV63.25 mV
−10 dBm−40 dBW100 µW70.71 mV200 mV
0 dBm−30 dBW1 mW223.6 mV632.5 mV
+3 dBm−27 dBW1.995 mW315.9 mV893.4 mV
+10 dBm−20 dBW10 mW707.1 mV2 V
+13 dBm−17 dBW19.95 mW998.8 mV2.825 V
+20 dBm−10 dBW100 mW2.236 V6.325 V
+27 dBm−3 dBW501.2 mW5.006 V14.16 V
+30 dBm0 dBW1 W7.071 V20 V
+33 dBm+3 dBW1.995 W9.988 V28.25 V
+37 dBm+7 dBW5.012 W15.83 V44.77 V
+40 dBm+10 dBW10 W22.36 V63.25 V
+47 dBm+17 dBW50.12 W50.06 V141.6 V
+50 dBm+20 dBW100 W70.71 V200 V
+60 dBm+30 dBW1 kW223.6 V632.5 V
Computed with this page’s formulas. Every 10 dB is a factor of 10 in power and √10 ≈ 3.16 in voltage; every 3 dB is about a factor of 2 in power.

What dBm means

Radio and test engineers measure power in decibels because the levels they deal with span enormous ranges: a transmitter may put out 100 W while the receiver at the other end works with a tenth of a picowatt. A decibel scale turns multiplication into addition. dBm is the power relative to one milliwatt: 0 dBm is 1 mW, +10 dBm is 10 mW, +20 dBm is 100 mW, +30 dBm is 1 W, and −30 dBm is 1 µW. Each 10 dB is a factor of ten, and each 3 dB almost exactly a factor of two (10 log10 2 = 3.01 dB). dBW works the same way relative to one watt, so dBW = dBm − 30.

Why decibels are convenient. Gains and losses add. A +20 dBm signal generator feeding a cable with 3 dB of loss and a 10 dB attenuator delivers +7 dBm; an amplifier with 15 dB of gain brings it to +22 dBm. Only the final answer needs converting back to watts.

Power and voltage. A power level becomes a voltage only once you know the resistance it is delivered into. In a 50 Ω system 0 dBm is 223.6 mV RMS, or 632.5 mV peak-to-peak on an oscilloscope, for a sine wave; +20 dBm is 2.236 V RMS. In 75 Ω, 0 dBm is 273.9 mV; in 600 Ω, the old audio reference, it is 774.6 mV, which is why that figure appears on audio meters. Voltage goes with the square root of power, so each 10 dB multiplies the voltage by √10 ≈ 3.16 and each 20 dB by ten. EMC and receiver work often quote voltage levels in dBµV instead, which the page also shows.

Peak voltage matters for parts. The peak of a sine wave is √2 times its RMS value, and a modulated signal (a multi-carrier or OFDM signal, for instance) can peak several times higher again for the same average power. Capacitors, switches and amplifier stages must handle the peak, not the average. For matching a source to a load of a different resistance, see the L-network calculator; for the basic V, I, R and P relations, the Ohm’s law calculator.

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Frequently asked questions

How do I convert dBm to watts?

P (W) = 10^((dBm − 30) ÷ 10). +20 dBm = 10^(−1) W = 0.1 W; +30 dBm = 1 W; +40 dBm = 10 W.

How do I convert watts to dBm?

dBm = 10 × log10(P in mW) = 10 × log10(P in W) + 30. 5 W is 10 × log10(5000) = 36.99 dBm.

What voltage is 0 dBm?

It depends on the impedance. Into 50 Ω, 223.6 mV RMS; into 75 Ω, 273.9 mV; into 600 Ω, 774.6 mV.

What is the difference between dBm and dBW?

The reference: dBm is relative to 1 mW and dBW to 1 W. They differ by exactly 30: 0 dBW = +30 dBm = 1 W.

Is 3 dB double the power?

Very nearly: 3 dB is a factor of 10^0.3 = 1.9953. Exactly double is 3.01 dB.

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References

  1. ITU-R Recommendation V.574. Use of the decibel and the neper in telecommunications (dBm, dBW and related units).
  2. IEC 60027-3. Letter symbols to be used in electrical technology — Part 3: Logarithmic and related quantities, and their units.
  3. Horowitz P, Hill W. The Art of Electronics, 3rd ed. Cambridge University Press, 2015: decibels, RMS and peak values.