GeneralG5B01

What dB change represents a factor of two increase or decrease in power?

B
Answer
Electrical principles
Type
A
Approximately 2 dB
B
Approximately 3 dB
C
Approximately 6 dB
D
Approximately 9 dB

Answer Notes

The decibel (dB) is a logarithmic unit used to express the ratio of two values of a physical quantity, most commonly power in radio applications. The formula for power changes in decibels is 10 * log10(P2/P1). When the power is doubled (a ratio of 2), the calculation becomes 10 * log10(2). Since the base-10 logarithm of 2 is approximately 0.301, multiplying by 10 gives approximately 3.01 dB. Therefore, a 3 dB increase means the power has doubled, and a 3 dB decrease means it has halved. Distractors like 6 dB are common mistakes made by confusing the power rule with the voltage rule. For voltage or current, a factor of two results in a 6 dB change because the formula uses a multiplier of 20 instead of 10.
Previous · G5A12
What occurs in an LC circuit at resonance?
Next · G5B02
How does the total current relate to the individual currents in a circuit of parallel resistors?