Friday, August 9, 2024

# Decibel (dB) Calculator

### Inputs

Voltage Gain (Vout/Vin):
Power Gain (Pout/Pin):
Decibels (dB):

This Decibel (DB) Calculator convert a voltage or power gain into decibels. This can be useful to express gains on a logarithmic scale and can also make arithmetic easier, as decibels can be added instead of multiplied. For instance, it can be applied to represent the gain of a linear system across frequencies in a Bode plot, facilitating clearer analysis and understanding.

## ConvertÂ Voltage or Power Gain to Decibels

To convert voltage or power gains to decibels, you can use the below formula:

Where:

• NdBÂ = The power or voltage gain expressed in decibels
• AVÂ = The voltage gain of the system
• APÂ = The power gain of the system

Further, the voltage and power gains of the system can be expressed as:

Where:

• VOUTÂ = The system output voltage level
• VINÂ = The system input voltage level
• POUTÂ = The system output power level
• PINÂ = The system input power level

Technically, decibels are a measurement unit for a power ratio. However, because the power is proportional to the square of the voltage, we can express the power gain as a function of the voltage ratio (AV) as shown above.