📊 Logarithmic Converter

Convert between logarithmic units including decibels, power ratios, intensity ratios, and more. Essential for audio engineering, signal processing, and acoustics.

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Common Conversions
Quick access to frequently used conversions
Unit Information

Scientific Units

Scientific and technical measurements

dB
scientific
Decibels
Logarithmic unit for power and intensity ratios
dBm
scientific
Decibels (milliwatt)
Decibels relative to 1 milliwatt
dBW
scientific
Decibels (watt)
Decibels relative to 1 watt
dBV
scientific
Decibels (volt)
Decibels relative to 1 volt
dBu
scientific
Decibels (unloaded)
Decibels relative to 0.775 volts
dBA
scientific
A-weighted Decibels
A-weighted decibels for human hearing response
ratio
scientific
Power Ratio
Linear power ratio (P2/P1)
ratio
scientific
Intensity Ratio
Linear intensity ratio (I2/I1)
ratio
scientific
Voltage Ratio
Linear voltage ratio (V2/V1)
ratio
scientific
Current Ratio
Linear current ratio (I2/I1)
Np
scientific
Nepers
Natural logarithm unit, 1 Np = 8.686 dB
B
scientific
Bels
Base-10 logarithm unit, 1 B = 10 dB
Preferences

Common Logarithmic Conversions

Audio Engineering

Convert between decibels and power ratios for audio equipment specifications and signal processing.

Signal Processing

Calculate gain, attenuation, and signal strength using logarithmic and linear ratio conversions.

Acoustics

Convert between different decibel scales and intensity ratios for sound measurement and analysis.

Logarithmic Unit Categories

Logarithmic Units

Decibel and logarithmic measurement units for power, voltage, and intensity ratios.

  • • Decibels (dB, dBm, dBW, dBV, dBu, dBA)
  • • Nepers (Np) - natural logarithm unit
  • • Bels (B) - base-10 logarithm unit

Linear Ratios

Linear power, intensity, voltage, and current ratios for engineering calculations.

  • • Power ratios (P2/P1)
  • • Intensity ratios (I2/I1)
  • • Voltage ratios (V2/V1)
  • • Current ratios (I2/I1)

Technical Information

Decibel Calculations

Decibels are calculated using the formula: dB = 10 × log₁₀(P2/P1) for power ratios, or dB = 20 × log₁₀(V2/V1) for voltage ratios.

Key Decibel Values:

  • • 3 dB = 2x power increase (doubling)
  • • 6 dB = 4x power increase
  • • 10 dB = 10x power increase
  • • 20 dB = 100x power increase

Unit Relationships

Different logarithmic units have specific relationships and reference levels for various applications.

Unit Equivalents:

  • • 1 Bel = 10 decibels
  • • 1 Neper = 8.686 decibels
  • • dBm: referenced to 1 milliwatt
  • • dBW: referenced to 1 watt
  • • dBV: referenced to 1 volt

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