This tool converts a Power Gain in dB to the ratio of:
- Power (Pout/Pin)
- Voltage (Vout/Vin)
Formula
PdB = 10*Log10(P1/P2)
PdB = 20*Log10(V1/V2)
and therefore the ratios
P1/P2 = 10(PdB/10)
V1/V2 = 10(PdB/20)
Example Calculations
A 10 dB value gives a power ratio of 10 and a voltage ratio of 3.162.
A -10 dB value gives a power ratio of 0.1 and a voltage ratio of 0.3162.
Note that negative dB values have a higher voltage ratio value than power ratio. The reverse is true for positive dB values.
Summary
Converting dB to a ratio involves using exponentiation based on whether you are dealing with power ratios (using 10dB/10) or voltage/current ratios (using 10dB/20).
This reverse conversion from logarithmic dB values to linear ratios is crucial for understanding the actual magnitudes in practical applications across various fields like audio engineering, electronics, and telecommunications.