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Power ratio in dB

Compare two powers and interpret their ratio.

HB3YAQ · Ajdin HadzicLearning to take awayhttps://hb3yaq.ch/en/tools/decibels
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THE CALCULATION

Formula & context

G = 10 log₁₀(P₂ / P₁)

dB describes a ratio. Positive values mean more power than the reference, negative values less. Gains and losses of successive stages can be added in dB.

A worked example

5 to 10 W is +3.0103 dB. 10 to 5 W is −3.0103 dB.

UNDERSTANDING THE MODEL

Assumptions & limits

Use 20 log for voltage ratios only with equal resistance. dB is not absolute power; that requires a reference such as dBm.

dB, dBm and powerUnderstand the reasoning →

From reading to experimenting

Power ratio in dB

5 to 10 W is +3.0103 dB. 10 to 5 W is −3.0103 dB.

Open example with starting values →Reference power P₁: 5 W · Compared power P₂: 10 WBack to the learning article →

Then change exactly one value. Compare the result and use the formula to explain why it changes. The model limits below the calculator also apply here.