Calculators & Tools

Decibel (dB) Calculator

The decibel (dB) is the standard unit used throughout amateur radio, RF engineering, telecommunications, and electronics to describe signal gain and loss. This calculator allows you to compare either power or voltage levels and automatically determine the difference in decibels.

Calculate gain or loss in dB
W
W
Formula Reference
Power RatiodB = 10 × log₁₀(P₂ / P₁)Use when comparing power values in watts
Voltage RatiodB = 20 × log₁₀(V₂ / V₁)Use when comparing voltage values

Power ratios use a multiplier of 10. Voltage ratios use a multiplier of 20 because electrical power is proportional to the square of voltage — squaring the voltage ratio is equivalent to doubling the logarithmic multiplier.

Quick dB Reference
ChangedB
Double Power+3 dB
Half Power−3 dB
Ten Times Power+10 dB
One-Tenth Power−10 dB
Double Voltage+6 dB
Half Voltage−6 dB
Practical Tip
Rule of Thumb
  • +3 dB is approximately double the power.
  • +10 dB is approximately ten times the power.
  • −3 dB is approximately half the power.

Small dB changes can represent significant differences in signal performance.

Amateur Radio Examples
Transmitter Power IncreasePower Ratio

A transmitter increases from 50 watts to 100 watts.

+3 dB

Coax Feedline LossPower Ratio

A coax feedline loses half the transmitter power.

−3 dB

Amplifier GainPower Ratio

An amplifier increases output from 10 watts to 100 watts.

+10 dB

Preamplifier Voltage GainVoltage Ratio

A preamplifier doubles signal voltage.

+6 dB

Where You'll Use Decibels
  • Measuring coax cable loss
  • Comparing antenna gain
  • Amplifier gain calculations
  • Receiver sensitivity
  • RF filter performance
  • Signal attenuation
  • Feedline efficiency
  • Audio gain
  • Station optimization
  • SDR measurements