Decibel (dB) Calculator

- Advertisement -

This calculator will convert voltage or power gains into decibels. Enter one of the three values and the calculator will output the other two.

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.

Convert Voltage or Power Gain to Decibels

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

- Advertisement -

Where:

• N_dB = The power or voltage gain expressed in decibels
• A_V = The voltage gain of the system
• A_P = The power gain of the system

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

Where:

• V_OUT = The system output voltage level
• V_IN = The system input voltage level
• P_OUT = The system output power level
• P_IN = 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 (A_V) as shown above.