● Convert Decibels to Voltage Gain / Loss ●
● Convert Voltage Gain / Loss to Decibels ●
• Voltage and Gain •
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V0 = 1 Volt
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The calculator works in both directions of the ↔ sign.
Gain and Loss
1) A knob usually found at the top of each input channel on the sound board, used
to set input levels of the separate channels to relatively equal positions.
2) The amount of increase in audio signal strength, often expressed in dB.
Gain:The measure of how much a circuit amplifies a signal. Gain may be stated as
Conductive Hearing Loss: a loss of sensitivity to sound, resulting from an
Gain or Loss: These are reciprocal numbers; they will be given in several ways.
dB (decibel): A technique for expressing voltage,power, gain, loss, or frequency in
Voltage Controlled Attenuator (VCA):
Sound level, loudness, and sound pressure are not the same things.
There are variations in individual perception of the strength of sound.
The sound pressure measured twice as much gives 6 dB more level.
The sound perceived twice as loud needs roughly an increase in
sound level by 10 dB.
Common Gains and Losses Expressed in Decibels
Notice: Power gain is not used in audio engineering.
as a ratio
as a factor
| Gain/loss in dB
| Gain/loss in dB
|10,000:1||10,000||+80.00 dB||+40.00 dB|
|1,000:1||1,000||+60.00 dB||+30.00 dB|
|100:1||100||+40.00 dB||+20.00 dB|
|10:1||10||+20.00 dB||+10.00 dB|
|5:1||5||+13.98 dB||+6.99 dB|
|4:1||4||+12.04 dB||+6.02 dB ●|
|2:1||2||+6.02 dB ●||+3.01 dB|
|1:1||1||0,00 dB|| 0.00 dB
|1:2||0.5||−6.02 dB ●||−3.01 dB|
|1:4||0.25||−12.04 dB||−6.02 dB ●|
|1:5||0.2||−13.98 dB||−6.99 dB|
|1:10||0.1||−20.00 dB||−10.00 dB|
|1:100||0.01||−40.00 dB||−20.00 dB|
|1:1,000||0.001||−60.00 dB||−30.00 dB|
|1:10,000||0.0001||−80.00 dB||−40.00 dB|
40 dB voltage gain (amplitude) is 100 times the voltage factor (amplitude).
40 dB power gain is 10,000 times the power factor.
Voltage Gain = Voltage Amplification and Power Gain = Power amplification
|Voltage (amplitude) gain||Power (energy) gain|
GV in dB
GP in dB
|√10 = 3.16||+10||10||+10|
|√2 = 1.414||+3||2||+3|
|1/√2 = 0.7071||−3||1/2 = 0.5||−3|
|1/2 = 0.5||−6||1/4 = 0.25||−6|
|1/√10 = 0.316||−10||10−1 = 0.1||−10|
|10−1 = 0.1||−20||10−2 = 0.01||−20|
|10−2 = 0.01||−40||10−4 = 0.0001||−40|
|10−3 = 0.001||−60||10−6 = 0.000001||−60|
|V2/V1 = 10(GV in dB/20)||GV = 20×log (V2/V1)||P2/P1 = 10(GP in dB/10)||GP = 10×log (P2/P1)|
|How many decibels (dB) level change is twice (double, half) or three times as loud?
The dependence of sound levels in dB and their factors − Measurements and perceptions
What is Amplitude? - Amplitude of a sound - Good question: What is meant by amplitude?
Table of Sound Levels (dB Scale) − Corresponding Units of Sound Pressure and Sound Intensity
Convert number relations (ratio) to dB level − number − factor − ratio − parameter
Conversion of Factor, Ratio, or Gain to a Level Value
Gain and Loss − Field sizes and energy sizes
The decibel calculator (dB) − a valuable tool
Calculation: Amplification (gain) and damping (loss) as level in decibels
Amplifier Conversion − Gain / Loss
Calculation Voltage Gain and Power Gain − Voltage Loss and Power Loss
Comparative representation of sound field sizes and sound energy sizes
Conversion of sound units (levels)
How to calculate decibels?
For an amplifier with an amplification factor of 100, calculate the following:
a) voltage gain in dB.
b) voltage gain at the cutoff frequency (break frequency) in dB.
c) amplification factor at the cutoff frequency (break frequency).
a) amplification factor 100 = gain 40 dB
b) gain at the cutoff frequency is 3 dB, so it is 37 dB.
c) gain 37 dB = amplification factor 70.7 at the cutoff frequency.
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