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How to Calculate Decibelm W

What is Decibelm W?

Converts between power ratios and decibel scale for audio, RF, and other applications. Logarithmic scale matches human perception.

Formula

dBm = 10 × log10(P ÷ 0.001)
P
P value — Variable used in the calculation

Step-by-Step Guide

  1. 1dBm = 10 × log10(P ÷ 0.001)
  2. 2dBW = 10 × log10(P)
  3. 3Reverse: power (watts) = 10^(dBm ÷ 10) ÷ 1000
  4. 4Every 3 dB ≈ 2× power
  5. 5Every 10 dB ≈ 10× power

Worked Examples

Input
Power 1W
Result
30 dBm

Common Mistakes to Avoid

  • Confusing dBm (power) with dBV (voltage) with dBu (relative to 0.775V)
  • Adding dBm values instead of multiplying power

Frequently Asked Questions

Why use decibels instead of watts?

Logarithmic scale compresses large ranges (1W to 1MW becomes 30 dBm to 60 dBm), easier comparison.

What's typical dBm for audio and RF?

Audio -20 to +4 dBu typical; WiFi transmit +17 to +30 dBm; cellular -30 to +33 dBm.

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