dB calculation amplification gain and damping loss - sengpielaudio
amplifier level damping dampening in dB amplification gain loss factor loss voltage power ratio pad voltage divider volt volts watts calculator calculation calculate calculator conversion convert converter measure computation compute amplifier voltage wattage amps amperes hundred fold the voltage dB decibel level change input output level ratio reference value field energy quantity value magnitude table tables chart charts sound studio techniques acoustics volts volt watts watt sound pressure intensity sengpielaudio Sengpiel Berlin
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Conversion: amplification (gain) and damping (loss) in dB

Enter two values and press the right calculate bar in the line of the missing answer
Input: voltage power        
           
input   value 1    
output   value 2    
level change   dB        

In analog audio engineering we deal only with 'voltage' amplification (gain) and damping (loss).
gain and loss - sengpielaudio
V2 >V1 = amplification, dB value is positive and V2< V1 = damping, dB value is negative.
V2 / V1 means the ratio. The amplification or the damping in dB is:
L = 20 × log (voltage ratio V2 / V1)         V1 is the reference.

 3 dB ≡  1.414 fold the voltage  - 3 dB ≡  damping to the value 0.707
 6 dB ≡          2 fold the voltage  - 6 dB ≡  damping to the value 0.5
10 dB ≡  3.162 fold the voltage  -10 dB ≡  damping to the value 0.316
20 dB ≡       10 fold the voltage     -20 dB ≡  damping to the value 0.1

Using voltage we get: Level in dB: L = 20 × log (voltage ratio)

  +6 dB = two fold the voltage
 +12 dB = four fold the voltage
+20 dB = ten fold the voltage
          +40 dB = hundred fold the voltage

Not often one is interested in power, if we consider audio engineering.
Forget to ask what the power amplification is.
Leave it to the telephone company.

Using power we get: Level in dB: L = 10 × log (power ratio)

    +3 dB = two fold the power
    +6 dB = four fold the power
 +10 dB = ten fold the power
          +20 dB = hundred fold the power

If you search for the amplification factor, given the dB value,
then go to the program dB calculation

Aha!
At the cut-off frequency fc the voltage is always damped to the value of 1/√2
and the voltage level is damped to 20 · log(1/√2) = (−)3,0103 dB.

Enter a value in the left or right box, then press the TAB bar or make
a mouse click at an empty space at the side, to get the solution.
The calculator works in both directions of the
sign.
Voltage V
volts
 ↔  Voltage level LU:
dBV
V = V_0 \cdot 10^\frac{L_V}{20} \ \mbox{volts}   L_V = 20\, \log_{10}\left(\frac{V}{V_0}\right) \ \mbox{dBV}
Reference voltage V0 = 1 Volt (0 dBV)
Voltage V (audio): 
volts
 ↔  Voltage level LU:
L_V = 20\, \log_{10}\left(\frac{V}{V_0}\right) \ \mbox{dBu} dBu
V = V_0 \cdot 10^\frac{L_V}{20} \ \mbox{volts}    
Reference voltage V0 = 0.7746 Volt (0 dBu)
Electric power P
watts
 ↔  Electric power level LP:
dB
Start   Start
Reference electric power P0 = 1 W (0 dB)

gain factor v = V2/V1:
for field quantities, e.g. voltage

 ↔  amplification level L:
voltage level
dB
FormelVerstaerkungsfaktor   Formel Verstärkung
0 dB = voltage gain v = 1

In audio technique "power or energy amplification " is very unusual:

gain factor v = P2/P1:
for energy quantities, e.g. power

 ↔  amplification level  L:
power level
dB
Start   Start
0 dB = power gain v = 1
 Voltage/Pressure 
amplification factor
  1  
 
 1.414 
= √2
  2  
 
 3.16
= √10
  4  
 
 10 
 
 20 
 
 40 
 
 100 
 
 1000 
 
Increasing of x dB  0   3   6   10   12   20   26   32   40   60 

 Power/Intensity  
amplification factor  
  1  
 
 1.414 
= √2
  2  
 
 3.16
= √10
  4  
 
 10 
 
 20 
 
 40 
 
 100 
 
 1000 
 
Increasing of x dB  0   1.5   3   5   6   10   13   16   20   30 

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