Decibel Voltage Ratio Calculator

This calculator converts between voltage ratios and decibel (dB) values, which is essential in audio engineering, signal processing, and telecommunications.

Input Parameters

Calculation Results

Calculation Formula

dB = 20 × log₁₀(V₂/V₁)

Where:
V₂ = Output voltage
V₁ = Input voltage
log₁₀ = Base-10 logarithm

dB

Decibel Voltage Ratio Calculator Usage Guide

Learn how to use the Decibel Voltage Ratio Calculator and understand its applications in various fields

How to Use the Calculator

  1. Enter the voltage ratio (V₂/V₁) where:
  2. For calculating decibels (dB): V₂ is the output voltage and V₁ is the input voltage
  3. For calculating voltage ratio: Enter the decibel value to find the voltage ratio
  4. Click "Calculate" to get the result
  5. The calculator automatically switches between calculation modes based on your selection

Understanding Decibel Voltage Ratio

The decibel (dB) is a logarithmic unit used to express the ratio between two values of a physical quantity, often power or amplitude. In the context of voltage, the formula used is:

dB = 20 × log₁₀(V₂/V₁)

This formula is particularly useful in audio engineering where signal levels are often expressed in decibels relative to a reference level.

Applications

  • Audio engineering and acoustics
  • Electronics and signal processing
  • Telecommunications
  • Measurement systems

Example Uses

Example 1: If the output voltage of an amplifier is 10 times the input voltage, what is the gain in decibels?

dB = 20 × log₁₀(10) = 20 × 1 = 20 dB

Example 2: If a signal has a gain of -3 dB, what is the voltage ratio?

V₂/V₁ = 10^(-3/20) ≈ 0.9129