Power and Voltage Ratio to dB Calculator
Power and Voltage Ratio to dB Calculator: Computes decibel power gain dB = 10 * log10(Power Ratio) = 10 * log10(10).
About this power and voltage ratio to db calculator
Decibel (dB, dBm, dBu) Gain Calculator — browser-based utility.
How this tool works
Calculation and parameter relationship: decibels=10log₁₀(powerRatio); decibels=20log₁₀(voltageRatio)
- Select “Raw JSON / Advanced” and paste the sample input.
- Click “Run locally”.
- Compare “Raw Output Data” with the example; revise inputs when an error is shown.
Worked example
Scenario: Convert a power ratio of ten into decibels.
Sample input:
Processing: Use the power branch because powerRatio is supplied: 10×Math.log10(10). The omitted voltageRatio is returned as null.
Illustrative output:
Limits and verification
Parameter domains and units: powerRatio > 0; voltageRatio > 0; |{powerRatio,voltageRatio} ∩ input| = 1; voltageRatio ⇒ Z₁ = Z₂. Results use binary64 floating-point numbers unless BigInt is stated. Result cards show up to 10 significant digits; raw output retains the serialized value. A null ratio means the model has no meaningful finite value for that ratio; it is not zero.
Examples demonstrate an expected workflow; they do not prove every input or every branch of an external specification. Check important results with an independent source before using them for money, security, compliance, safety, or irreversible file changes.
Browser processing boundary
Tool input is processed by code running in the browser and is not intentionally sent to a CZOA processing API. The page can still request ordinary site assets, analytics, or advertising when those services are enabled. Browser extensions and managed-device software remain outside this tool's control.
Relevant references
These references govern or help explain the format, protocol, or calculation used here. Listing a reference does not claim certification or complete implementation of every optional feature.
- NIST Digital Library of Mathematical Functions, §1.2 — Elementary Algebra
- ECMAScript 2026, §6.1.6.1 Number Type
Content owner: CZOA Tools · Last reviewed: 2026-09-15 · Review methodology
How to use it
- Select “Raw JSON / Advanced” and paste the sample input.
- Click “Run locally”.
- Compare “Raw Output Data” with the example; revise inputs when an error is shown.
Frequently asked questions
How does the decibel calculator select its formula?+
With powerRatio it calculates 10×log10(powerRatio); with voltageRatio it calculates 20×log10(voltageRatio). It accepts exactly one ratio.
Which values can I enter in the form or advanced JSON mode?+
Provide exactly one of powerRatio or voltageRatio. The independently verified input is {"powerRatio":10}.
What assumptions and numeric limits apply to a dB result?+
The implementation uses JavaScript Math.log10 and Number binary64. A voltage-ratio result has the usual equal-impedance assumption; this page does not measure signals, impedance, noise, or acoustic level.
What result does the worked example produce?+
The tool processed {"powerRatio":10} locally and returned powerRatio 10, voltageRatio null, and decibels 10.