dBm to Voltage and Power Calculator
How it works?
In electronics and RF engineering, Power (P) and Voltage (V) are linked by the system Impedance ($R$). This calculator combines Ohm's Law with the definition of the Decibel to allow instant translation between signal strength (dBm) and physical voltage.
$$ dBm = 10 \cdot \log_{10} \left( \frac{V_{rms}^2}{R \cdot 0.001} \right) $$ Voltage to dBm Conversion
Where:
- V_{rms} : Root Mean Square Voltage.
- R : Impedance (typically 50Ω for RF, 75Ω for Video).
- P : Power in Watts.
- dBm : Power ratio relative to 1 milliwatt.
Note on RMS: This calculator uses \(V_{rms}\). For a sine wave, \(V_{peak} = V_{rms} \times \sqrt{2}\) and \(V_{pp} = V_{peak} \times 2\).
Why does Impedance matter?
In power calculations, knowing the signal strength (dBm) is only half the story. You cannot know the Voltage without knowing the Impedance (Z) of the system. This calculator bridges the gap between logarithmic power and physical voltage.
Voltage Reference Table (Vrms)
The same dBm level produces different voltages depending on system load.
| Power (dBm) | Voltage @ 50Ω (RF) | Voltage @ 75Ω (Video) | Voltage @ 600Ω (Audio) |
|---|---|---|---|
| -10 dBm | 0.071 V | 0.087 V | 0.245 V |
| 0 dBm (1 mW) | 0.224 V | 0.274 V | 0.775 V |
| +10 dBm | 0.707 V | 0.866 V | 2.45 V |
| +13 dBm | 1.00 V | 1.22 V | 3.46 V |
| +20 dBm | 2.24 V | 2.74 V | 7.75 V |
| +30 dBm (1 W) | 7.07 V | 8.66 V | 24.5 V |
Key Applications
1. Photodetector Saturation
High-speed photodiodes are often terminated into 50Ω. If your optical power generates a photocurrent that creates >1V output (about +13 dBm), you may saturate the amplifier or damage the scope input. This calculator helps you check safe voltage limits.
2. Signal Generators
Function generators display output in Vpp (peak-to-peak) or Vrms, but RF spectrum analyzers read in dBm. This tool helps you know exactly what signal level you are injecting into your device.
3. 50Ω vs. 1MΩ
When connecting a sensor to an oscilloscope, the impedance setting changes the voltage reading. A 50Ω termination draws current (Power), while a 1MΩ (High-Z) termination reads pure voltage.
4. Attenuators
If you need to reduce a signal from 5V down to a safe level for a sensitive ADC (e.g., 1V), you can calculate the required dB attenuation (roughly 14 dB) using the voltage ratio logic inherent in this tool.