Calculation: voltage, power, gain, loss - sengpielaudio
 
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Calculation
• Voltage Gain and Power Gain •
• Voltage Loss and Power Loss •

A provocative question: Can one ever increase the power? Electrical voltage and electrical
current can be amplified. Energy can be converted in various forms of energy. To save
energy one wants to produce more power with less energy.
The term "amplifier" covers up that the energy comes entirely from the mains and largely leaves the devices as a
loss. Because of energy conservation you cannot make from a small power a large. However, one can at least
transfer the data from a weak to a strong current.

Find decibel voltage gain by entering input and output voltage:

    Input Voltage = volts    
 Output Voltage = volts    
             Gain = dB
     

Find decibel power gain by entering before and after power:
Not used in sound engineering.

   Power Before = watts   
    Power After = watts
            Gain = dB  
     

Find output voltage by entering input voltage and decibel voltage gain:

          Input Voltage = volts
       Desired Gain = dB
Output Voltage = Volt
     

Find output power by entering input power and decibel power gain:
Not used in sound engineering.

          Input power = watts
   Desired Gain = dB
Output power = Watt
     
Voltage Ratio and Voltage Level - sengpielaudio Formula Voltage Level - sengpielaudio

Power Ratio and Power Level - sengpielaudio Formula Power Level - sengpielaudio

Enter a value in the left or right box.
The calculator works in both directions of the ↔ sign.

gain factor v = V2 / V1:
(field values, e.g. voltage)
  ↔  amplification level L:
(voltage level)
dB
FormelVerstaerkungsfaktor    v = Vout / Vin   Formel Verstärkung
Voltage level 0 dB equals voltage amplification v = 1

In audio engineering "power amplification" is unusual,
even power amplifiers for loudspeakers amplify voltage.

gain factor v = P2 / P1:
(energy values, e.g. power)
  ↔  amplification level  L:
(power level)
dB
Start    v = Pout / Pin   Start
Power level 0 dB equals power amplification v = 1
 
Power is like all energy quantities
primarily a calculated value.
 
 
Voltage Gain   Power Gain
Voltage ratio
Factor V2/V1		 Voltage amplification
GV in dB		   Power ratio
Factor P2/P1		 Power amplification
GP in dB
10−3 = 0,001 −60     10−6 = 0,000001 −60  
10−2 = 0,01 −40     10−4 = 0,0001 −40  
10−1 = 0,1 −20     10−2 = 0,01 −20  
1/√10 = 0,316 −10     10 −10  
1/2 = 0,5 −6   1/4 = 0,25 −6
1/√2 = 0,7071 −3   1/2 = 0,5 −3
1 ±0   1 ±0
√2 = 1,414 +3   2 +3
2 +6   4 +6
√10 = 3,16 +10     2 +10  
101 +20     102 +20  
102 +40     104 +40  
103 +60     106 +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)
 
Voltage gain (dB) = 20×log (Audio output voltage / Audio input voltage). Used in audio.
Voltage gain is defined as the ratio of the output voltage to the input voltage in dB. Assume that the
input voltage is 10 mV (+10 dBm) and the output voltage is 1 V (1000 mV, +60 dBm). The ratio will
be 1000/10 = 100, and the voltatage gain will be 20×log 100 = 40 dB. Reference voltage Vo = 1 Volt.
 
Power gain (dB) = 10×log (RF output power / RF input power). Used in RF.
Power gain is defined as the ratio of the output power to the input power in dB. Assume that the
input power is 10 mW (+10 dBm) and the output power is 1 W (1000 mW, +30 dBm). The ratio will
be 1000/10 = 100, and the gain will be 10×log 100 = 20 dB. Reference Power = 1 Watt.
 
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