- dB ↔ Percentage Calculator helps users quickly convert decibels (dB) to percentage and vice versa. Decibels represent a 对数刻度 在通常使用的 audio engineering, telecommunications, signal processing, and physics to measure changes in power, voltage, current, or amplitude.
Since decibels are 不是线性的, 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:
为了找到 分贝 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:
| 分贝 (dB) | Power Change (%) | Voltage/Amplitude Change (%) |
|---|---|---|
| -20分贝 | -99％ | -90％ |
| -10分贝 | -90％ | -68％ |
| -6分贝 | -75％ | -50％ |
| -3分贝 | -50％ | -29％ |
| 0分贝 | 0% | 0% |
| +3分贝 | +100% | +41% |
| +6分贝 | +300% | +100% |
| +10分贝 | +900% | +216% |
| +20分贝 | +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％增加
这意味着 +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分贝
这意味着 50% power increase corresponds to approximately +1.76 dB.
最常见的常见问题解答
Decibels provide a 对数刻度, 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 因子10, while voltage and amplitude use a 因子20 in logarithmic calculations. This is because power is proportional to the square of voltage.
没错！ Negative dB values 代表一个 loss in power or amplitude, meaning the signal strength is decreasing compared to the reference level.