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Headphone Power from Sensitivity

Headphone Power from Sensitivity: explicit inputs, a worked example and clearly stated assumptions.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

dB SPL at 1 mW
Enter sensitivity in dB SPL at 1 mW.
dB SPL
Enter target sound level in dB SPL.
Ω
Enter impedance in Ω.

Formula

mW=10^((target−sensitivity)/10); RMS voltage=√(mW × impedance/1000).
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Uses sensitivity per milliwatt, not per volt. Resistive impedance approximation; no listening-safety recommendation or acoustic calibration.

Example Calculation

Example inputs
  • Sensitivity: 100 dB SPL at 1 mW
  • Target sound level: 90 dB SPL
  • Impedance: 32 Ω

100 dB SPL/mW sensitivity needs 0.1 mW for the modeled 90 dB target; at 32 Ω this is about 0.0566 V RMS.

Frequently asked questions

How do I use this calculator?

Enter sensitivity, target sound level, impedance. The result updates automatically. Use Reset to restore the example values.

What method does it use?

mW=10^((target−sensitivity)/10); RMS voltage=√(mW × impedance/1000).. Uses sensitivity per milliwatt, not per volt. Resistive impedance approximation; no listening-safety recommendation or acoustic calibration.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.