Il dB ↔ Percentage Calculator helps users quickly convert decibels (dB) to percentage and vice versa. Decibels represent a scala logaritmica comunemente utilizzati in audio engineering, telecommunications, signal processing, and physics to measure changes in power, voltage, current, or amplitude.
Since decibels are non lineare, converting them into a percentage requires logarithmic calculations. This calculator simplifies these conversions, making it easier to understand signal gains, losses, and power changes.
Formula for Db ↔ Percentage Calculator
1. Convert dB to Percentage
For Power Gain/Loss:
Since decibels measure a logarithmic change in power, the percentage change is calculated as:
Percentage Change (%) = (10^(dB / 10) – 1) × 100
For Voltage, Current, or Amplitude Gain/Loss:
When measuring voltage, current, or amplitude changes, the formula is:
Percentage Change (%) = (10^(dB / 20) – 1) × 100
2. Convert Percentage to dB
For Power Change:
Per trovare il decibel change from a percentage increase or decrease in power:
dB = 10 × log10(1 + (Percentage / 100))
For Voltage, Current, or Amplitude Change:
For voltage, current, or amplitude percentage change:
dB = 20 × log10(1 + (Percentage / 100))
Reference Table – Common dB to Percentage Conversions
To make conversions easier, here is a pre-calculated reference table for commonly used dB values:
| Decibel (dB) | Power Change (%) | Voltage/Amplitude Change (%) |
|---|---|---|
| -20 DB | -99% | -90% |
| -10 DB | -90% | -68% |
| -6 DB | -75% | -50% |
| -3 DB | -50% | -29% |
| 0 dB | 0% | 0% |
| +3dB | + 100% | + 41% |
| +6dB | + 300% | + 100% |
| +10dB | + 900% | + 216% |
| +20dB | + 9900% | + 900% |
This table allows audio engineers, sound technicians, and electronics professionals to quickly estimate signal strength changes without manually calculating.
Example of Db ↔ Percentage Calculator
1. Convert +6 dB to Percentage (Voltage Gain)
Using the voltage formula:
Percentage Change (%) = (10^(6 / 20) – 1) × 100
Percentage Change (%) ≈ (2 – 1) × 100 ≈ 100% di aumento
Questo significa a +6 dB gain doubles the voltage or amplitude.
2. Convert 50% Power Increase to dB
Using the power formula:
dB = 10 × log10(1 + (50 / 100))
dB = 10 × log10(1.5) ≈ 1.76 dB
Questo significa a 50% power increase corresponds to approximately +1.76 dB.
Domande frequenti più comuni
Decibels provide a scala logaritmica, which makes it easier to express large variations in power, signal strength, and intensity. A small dB change can represent a large percentage change, making it ideal for fields like audio processing and telecommunications.
Power uses a fattore di 10, while voltage and amplitude use a fattore di 20 in logarithmic calculations. This is because power is proportional to the square of voltage.
Sì! Negative dB values rappresentano a loss in power or amplitude, meaning the signal strength is decreasing compared to the reference level.