Amping and amplification in dB gain voltage power - sengpielaudioChecker
 
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Conversion
 
Field quantities: e. g. Voltage  "Decibel, Gain, and Loss" ●
gain = amplification and loss = damping
0 dB damping and 0 dB amplification belong to the factor 1

 
The reinforcement and also the amplification factor are called simply "gain" and its increase value with amplification is positively designated. Loss or decrease is the damping factor," negative gain" or also "attenuation". Field and energy gain factors, and loss factors are ratios.
 
Gain is usually defined as the mean ratio of the signal output of a system to the signal input of the same system. It is often expressed using the logarithmic decibel (dB) units ("dB gain"). A gain greater than one is called amplification is the defining property of an active component or circuit, while a passive circuit will have a gain of less than one.
 
Enter the value for Vout and Vin and press the "=" key.

 
 Level Lfield = 20 × log10 ( V out ) dB gain 
-------- ---------------
V in
 "V in" is the reference value    
 

Gain und Loss

Energy quantities: e. g. Power "Decibel, Gain, and Loss) ●
Enter the value for P in and P out and press the "=" key.

 
 Level Lenergy = 10 × log10 ( P out ) dB gain 
-------- ---------------
P in
 "P in" is the reference value    
 
Conversion: Factor (Ratio) to Gain (Decibels)
and Gain (Decibels) to a Factor (Ratio)
 
To use the calculator, simply enter a value.
The calculator works in both directions of the
sign.

● Factor x (field quantity) 
 
 ↔  ● Level Lx (voltage, sound pressure) 
dB (voltage) gain
Field quantity factor   Field quantity ratio   Formula Level Y
Reference factor (field quantity) x0 = 1 ≡ 0 dB (amplitude)

Field quantity x always use the RMS value - but don't do that for the energy quantity y.

Factor y (energy quantity) 
 
 ↔  Level Ly (power, sound intensity) 
dB (energy) gain
Formula Ratio Y  Formula Ratio Y   Formula Level Y
Reference factor (energy quantity) y0 = 1 ≡ 0 dB (power)

Energy quantity y is field quantity x (amplitude rms) squared: y ~ x2.


Amplification Factor Voltage and Decibels

Level L in decibel (dB) = 20 × log (x)       x = factor (amplitude, field quantity)

Gain und Loss


Amplification Factor Power and Decibels

Level L in decibel (dB) = 10 × log (y)        y = factor (power, energy quantity)

Gain und Loss

To use the calculator, simply enter a value.
The calculator works in both directions of the
sign.

Field quantity (size):

 
Voltage V  
volt
 ↔  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 (V) ≡ 0 dBV

Energy quantity (size):

 
Electric power P  
watt
 ↔  Electric Power level LP 
dB
Start   Start
Reference power P0 = 1 watt (W) ≡ 0 dB

There is also the reference power P0 = 1 milliwatt or 0.001 watt ≡ 0 dBm

 
Electric power (telephone) P  
watt
 ↔  Electric Power level LP 
dBm
Start   Start
Reference power P0 = 1 milliwatt (mW) = 0.001 W ≡ 0 dBm
  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 y dB  0   1.5   3   5   6   10   13   16   20   30 
 
Aha!
 
The word "power amplifier" is a misnomer. Voltage and current can be amplified. The strange term "power amplifier" has become understood to mean an amplifier that is intended to drive a load such as a loudspeaker.
We call the product of current and voltage gain "power amplification".

 
 
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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