dBu (Voltage Level)

dBu = 20 × log10(V / 0.7746V)

Quick answer

This calculator solves dBu = 20 × log10(V / 0.7746V) for Level (dBu). With Voltage 12 V, the result is 23.8 dB. It solves in 2 directions, so you can enter the values you have and get the one you need.

Calculator

Level (dBu) (dB)
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Formula

dBu = 20 × log10(V / 0.7746V)

Description

dBu is an absolute voltage measurement referenced to 0.7746V RMS, which is the voltage that produces 1 mW into a 600Ω load. The reference comes from the historical 600Ω impedance standard in telephone systems. Professional audio equipment commonly uses +4 dBu (1.228V RMS) as the nominal operating level, providing higher signal levels than consumer equipment for better noise performance. Despite the historical 600Ω connection, modern dBu measurements are made in a voltage-only context without assuming any specific impedance.

Variables

  • dBu — Voltage level referenced to 0.7746V RMS (dB)
  • V — RMS voltage (V)

Practical Notes

Professional audio standard is +4 dBu = 1.228V RMS. Microphone levels are typically -60 to -20 dBu. Mixer outputs are designed for +4 dBu nominal with headroom to +20 dBu or more. The "u" stands for "unloaded" (or unterminated), distinguishing it from the older dBm which assumed a 600Ω termination. Most modern audio equipment has high-impedance inputs (10kΩ+), making the 600Ω origin irrelevant.

Symbols and units

Symbol Meaning Default unit Accepted units
dBu Level (dBu) dB dB
V Voltage V pV, nV, µV, mV, V, kV

Step by step

  1. 1. What you know: Voltage 12 V
  2. 2. The relation: dBu = 20 × log10(V / 0.7746V)
  3. 3. Substitute: V = 12 V
  4. 4. Result: Level (dBu) = 23.8 dB

Worked examples

Minimum range

Given: Voltage 0.33 V

Result: Level (dBu) = -7.411 dB

Low range

Given: Voltage 3.3 V

Result: Level (dBu) = 12.59 dB

Typical

Given: Voltage 12 V

Result: Level (dBu) = 23.8 dB

High range

Given: Voltage 0.23 kV

Result: Level (dBu) = 49.45 dB

Maximum range

Given: Voltage 2.3 kV

Result: Level (dBu) = 69.45 dB

Solving for each variable

Solve for Level (dBu)

Voltage 0.33 V → -7.411 dB

Solve for Voltage

Level (dBu) 0.3 dB → 0.8018 V

How Level (dBu) changes with Voltage

Voltage (input) Level (dBu) (result)
1.2 V 3.802 dB
3 V 11.76 dB
6 V 17.78 dB
9 V 21.3 dB
12 V 23.8 dB
18 V 27.32 dB
24 V 29.82 dB
48 V 35.84 dB
84 V 40.7 dB
120 V 43.8 dB

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Frequently asked questions

How do you calculate dBu (Voltage Level)?

Use dBu = 20 × log10(V / 0.7746V). With Voltage 12 V, Level (dBu) works out to 23.8 dB.

What is the formula for dBu (Voltage Level)?

The formula is dBu = 20 × log10(V / 0.7746V). dBu is an absolute voltage measurement referenced to 0.7746V RMS, which is the voltage that produces 1 mW into a 600Ω load.

How do you find Voltage when you know the other values?

Rearrange for Voltage: with Level (dBu) 0.3 dB, Voltage is 0.8018 V.

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