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Decibel Level Comparison — result sheet
Converts an intensity ratio into decibels relative to a reference.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: dB = 10 × log10(intensity / reference).
Ratios compress logarithmically: ×10 intensity is +10 dB. Same units cancel, leaving a pure relative level.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Intensity — Must be positive.; minimum 0; maximum 1000000000000000000
- Reference intensity — Must be positive.; minimum 0; maximum 1000000000000000000
Worked example
| Input | Value |
|---|---|
| Intensity | 100 |
| Reference intensity | 10 |
10 dB; ratio 10.
Assumptions and limits
- Both intensities are positive and in the same units.
- Power-style 10×log10 scaling, not amplitude 20×.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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