Deutsche Version 
● Convert Decibels to Voltage Gain / Loss ●
● Convert Voltage Gain / Loss to Decibels ●
• Voltage and Gain •
Enter any two values  the third will be calculated. 
V_{0} = 1 Volt 
To use the calculator, simply enter a value. The calculator works in both directions of the ↔ sign. 
Gain and Loss Gain is: 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.
Gain/loss as a ratio (out/in) 
Gain/loss as a factor 
Gain/loss in dB Field sizes (Voltage gain) 
Gain/loss in dB Energy sizes (Power gain) 
10,000:1  10,000  +80.00 dB  +40.00 dB 
10,00:1  10,00  +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 and Power Gain
Voltage (amplitude) gain  Power (energy) gain  
Voltage ratio Factor V_{2}/V_{1} 
Voltage amplification G_{V} in dB 
Power ratio Factor P_{2}/P_{1} 
Power amplification G_{P} in dB 

10^{3}  +60  10^{6}  +60  
10^{2}  +40  10^{4}  +40  
10^{1}  +20  10^{2}  +20  
√10 = 3.16  +10  10  +10  
2  +6  4  +6  
√2 = 1.414  +3  2  +3  
1  ±0  1  ±0  
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  
V_{2}/V_{1} = 10^{(GV in dB/20)}  G_{V} = 20×log (V_{2}/V_{1})  P_{2}/P_{1} = 10^{(GP in dB/10)}  G_{P} = 10×log (P_{2}/P_{1}) 

Questions: 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). Answers: 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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