A Decibel (dB) Calculator helps engineers, sound technicians, and researchers measure the ratio of power or intensity between two signals using the logarithmic escala de decibeles. Esto se usa comúnmente en audio engineering, telecommunications, electronics, and acoustics to assess sound levels, signal strength, and noise levels.
Los escala de decibeles is logarithmic, meaning it measures differences exponencialmente rather than linearly. This makes it useful for evaluating loudness levels, amplifier gains, and signal atenuación, where small changes in power or amplitude can result in significant perceived differences.
Formula for Decibel Calculator
Los decibel formula depends on whether you are calculating a relación de potencia o un amplitude (intensity) ratio:
Para relación de potencia:
dB = 10 × log₁₀(P₂ / P₁)
Para intensity or amplitude ratio:
dB = 20 × log₁₀(A₂ / A₁)
Lugar:
P₂ / P₁ = Power ratio (final power / reference power)
A₂ / A₁ = Amplitude ratio (final amplitude / reference amplitude)
log₁₀ = Logarithm to base 10
Los power ratio formula is used when measuring changes in energy or signal strength, Mientras que el amplitude ratio formula se aplica a sound waves, voltage, or current levels.
Decibel Conversion Reference Table
To simplify decibel calculations, the following table provides common dB values for different power and amplitude ratios.
| Power Ratio (P₂/P₁) | Amplitude Ratio (A₂/A₁) | Decibeles (dB) | Nueva Solicitud de Empleo |
|---|---|---|---|
| 1 | 1 | 0 dB | No change in power |
| 2 | 1.41 | 3 dB | Slight increase in sound |
| 10 | 3.16 | 10 dB | Doubling of perceived loudness |
| 100 | 10 | 20 dB | Strong audio boost |
| 1,000 | 31.62 | 30 dB | Nivel de ruido alto |
| 1,000,000 | 1,000 | 60 dB | Typical conversation |
| 10,000,000 | 10,000 | 80 dB | Loud traffic noise |
This table helps audio engineers, sound designers, and electronics professionals estimate signal amplification, sound loudness, and transmission loss without complex calculations.
Example of Decibel Calculator
A speaker system increases the industria desde 5 vatios a 50 vatios. The decibel increase can be calculated as follows:
Step 1: Apply the Power Ratio Formula
dB = 10 × log₁₀(50 / 5)
Step 2: Compute the Logarithm
dB = 10 × log₁₀(10)
Step 3: Compute the Result
dB = 10 dB
Esto significa que el power has increased by 10 decibels, haciendolo el doble de fuerte in terms of human perception.
Preguntas frecuentes más comunes
A decibel measures the relative intensity of a signal, sound, or power ratio using a escala logarítmica. Se utiliza en audio levels, radio signals, electronic circuits, and environmental noise measurement.
The decibel scale is logarithmic because human hearing and signal amplification responde non-linearly. Esto permite una mayor precisión medidas of loudness, gain, and attenuation, where small changes in power can result in significant perceptual differences.
A 3 dB increase doubles the industria but results in a small perceived loudness change. La 10 dB increase makes the sound el doble de fuerte to the human ear, even though it requires 10 veces la potencia.