BasicB-005-008-007
The power output from a transmitter increases from 1 watt to 2 watts. How many decibels does that increase represent?
D
Answer
Transmitters, receivers, and measurements
Type
A
1 dB
B
10 dB
C
6 dB
D
3 dB
Answer Notes
In radio electronics, a common shortcut to remember is that doubling the power of a signal always results in an increase of approximately 3 decibels (3 dB). The mathematical formula for calculating power in decibels is 10 times the base-10 logarithm of the power ratio: 10 * log10(P2/P1).
Since the base-10 logarithm of 2 (the ratio of 2 watts to 1 watt) is approximately 0.3, multiplying by 10 gives you exactly 3 dB. Therefore, increasing a transmitter's output from 1 watt to 2 watts is a 3 dB increase.
Distractors like 6 dB are incorrect because 6 dB represents a quadrupling of power (or a doubling of voltage), while 10 dB represents a tenfold increase in power.
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What is the "decibel" used for?
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The power of a transmitter is increased from 5 watts to 50 watts by a linear amplifier. The power gain, expressed in dB, is: