Tools

Decibels

Decibels describe ratios on a logarithmic scale, which keeps gains and losses easy to add up.

Power change in decibels

W
W

Gain of 10 dB

Decibels to power ratio

dB

1.995 times the power

Watts and dBm

W
dBm

100 W = 50 dBm

Worth memorizing

1 dB1.26 times the power
3 dBAbout double the power
6 dBAbout 4 times the power, or double the voltage
10 dB10 times the power
20 dB100 times the power
-3 dBAbout half the power

How it works

  • Power ratio in dB = 10 log10(P2 / P1). Voltage ratio in dB = 20 log10(V2 / V1), assuming the same impedance.
  • dBm is power relative to one milliwatt: 0 dBm = 1 mW, 30 dBm = 1 W, 50 dBm = 100 W.

Learn more: Electronics basics

Sources: Radio Mathematics (ARRL Handbook supplement) (ARRL)

Practice the exam questions: T5 Electrical Principles (Technician), G5 Electrical Principles (General)