Power and Voltage Gain to dB Calculator is an online conversion tool used to convert known Power or Voltage gain values. Gain to decibels formula conversion calculator can be used for converting either power or voltage gains to dB.
List of Contents
Gain to dB Formulas
To convert voltage or power gains to decibels, we can apply the following formulas:
Voltage Gain to dB Formula
NdB= 20log10(AV)
Where:
- NdB = The Voltage gain expressed in decibels
- AV = The voltage gain of the system
Where
Voltage gain (AV) = Vout/Vin
- VOUT = The system output voltage level
- VIN = The system input voltage level
Power Gain to dB Formula
NdB= 10log10(AP)
- NdB = The Voltage gain expressed in decibels
- AP = The power gain of the system
Where
Power gain (AP) = Pout/Pin
- POUT = The system output power level
- PIN = The system input power level
Good to know: In technical terms, the decibel is a measurement unit for a power ratio. Since the power is proportional to the square of the voltage (P∝V2), we can express the power gain as a function of the voltage ratio (AV) as well.