dBV (Voltage Level)
dBV = 20 × log10(V / 1V)
Quick answer
This calculator solves dBV = 20 × log10(V / 1V) for Level (dBV). With Voltage 12 V, the result is 21.58 dB. It solves in 2 directions, so you can enter the values you have and get the one you need.
Calculator
Formula
Description
dBV is an absolute voltage measurement referenced to 1 volt RMS. A voltage of 1V equals 0 dBV, 10V equals 20 dBV, and 100mV equals -20 dBV. This unit is common in professional audio, consumer electronics specifications, and signal level analysis. Unlike dBu, dBV is referenced to a fixed voltage regardless of impedance, making it straightforward for voltage measurements. Most consumer audio line-level signals are specified at approximately -10 dBV (316 mV RMS).
Variables
- dBV — Voltage level referenced to 1V RMS (dB)
- V — RMS voltage (V)
Practical Notes
Key conversions: 0 dBV = 1.000V, -10 dBV = 0.316V (consumer line level), +4 dBu ≈ +1.78 dBV = 1.228V (professional line level). The relationship between dBV and dBu is: dBV = dBu - 2.218. Both units assume sinusoidal signals; for other waveforms, use the RMS value.
Symbols and units
| Symbol | Meaning | Default unit | Accepted units |
|---|---|---|---|
| dBV | Level (dBV) | dB | dB |
| V | Voltage | V | pV, nV, µV, mV, V, kV |
Step by step
- 1. What you know: Voltage 12 V
- 2. The relation: dBV = 20 × log10(V / 1V)
- 3. Substitute: V = 12 V
- 4. Result: Level (dBV) = 21.58 dB
Worked examples
Minimum range
Given: Voltage 0.33 V
Result: Level (dBV) = -9.63 dB
Low range
Given: Voltage 3.3 V
Result: Level (dBV) = 10.37 dB
Typical
Given: Voltage 12 V
Result: Level (dBV) = 21.58 dB
High range
Given: Voltage 0.23 kV
Result: Level (dBV) = 47.23 dB
Maximum range
Given: Voltage 2.3 kV
Result: Level (dBV) = 67.23 dB
Solving for each variable
Solve for Level (dBV)
Voltage 0.33 V → -9.63 dB
Solve for Voltage
Level (dBV) 0.3 dB → 1.035 V
How Level (dBV) changes with Voltage
| Voltage (input) | Level (dBV) (result) |
|---|---|
| 1.2 V | 1.584 dB |
| 3 V | 9.542 dB |
| 6 V | 15.56 dB |
| 9 V | 19.08 dB |
| 12 V | 21.58 dB |
| 18 V | 25.11 dB |
| 24 V | 27.6 dB |
| 48 V | 33.62 dB |
| 84 V | 38.49 dB |
| 120 V | 41.58 dB |
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<p><a href="https://vbatpower.com/formulas/dbv/">dBV (Voltage Level)</a> Calculator by vbatpower.com</p>Frequently asked questions
How do you calculate dBV (Voltage Level)?
Use dBV = 20 × log10(V / 1V). With Voltage 12 V, Level (dBV) works out to 21.58 dB.
How do you calculate absolute voltage level 1v?
Rearrange for Level (dBV): with Voltage 3.3 V, Level (dBV) is 10.37 dB.
What is the formula for dBV (Voltage Level)?
The formula is dBV = 20 × log10(V / 1V). dBV is an absolute voltage measurement referenced to 1 volt RMS.
How do you find Voltage when you know the other values?
Rearrange for Voltage: with Level (dBV) 0.3 dB, Voltage is 1.035 V.
Related Concepts
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