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-3db equates to half of the original power.

if you had 1 watt input. and the output is 1/2 watt.

The power gain is calculated by 10 log (Pin/Pout)

( in bels its log(Pin/Pout) in decibels its 10 log (Pin/Pout) )

That is 10 log (1/ 1/2) = 10 log 2 = -3 that's -3db for you

It communications and in so many other fields. the 3db mark is taken as kind of datum for useful power. that is to say beyond this the magnitude will reduce below half.

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Q: What is 3dB power or gain curveplot?
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Each 3db doubles the apparent volume.


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DB (decibels) gain is the log based 2 times 3 relative power change measured from input to output of a circuit. For instance, +3db is twice the power, +6db is four times, +9db is eight times. Similarly, -3db is half the power, -6db is quarter the power, and -9 db is eighth the power.Keep in mind that DB is relative power, not voltage, so if you are measuring voltage, then +3db is square root of 2 (1.414) times the voltage, etc.


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3 dB is a change in power by a factor of 2. If it is plus, i.e. +3dB, power is doubled. If it is minus, i.e. -3dB, power is halved. 6 dB, then is a factor of four, or quarter; 6 dB is a factor of eight, or eighth, etc. The actual equation is 3 log2 (POWER OUT / POWER IN).


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