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Physics

dB to Power Ratio

10^(dB/10). Free online dB to Power Ratio. Calculate db to power ratio online — fast, accurate, mobile-friendly, no signup needed.

Power ratio
100
Voltage ratio
10

Derivation

  1. ├── 01Givendb = 20
  2. ├── 02FormulaPower ratio: (10)^(t / 10)
  3. ├── 03Compute Power ratio100
  4. ├── 04FormulaVoltage ratio: (10)^(t / 20)
  5. └── 05Compute Voltage ratio10
Did you know?

Exponent notation aⁿ was coined by Descartes in 1637 — three centuries after Indian and Arab mathematicians worked with the concept in words.

§01What is

Understanding the dB to Power Ratio

The dB to Power Ratio computes Power ratio from 1 input: db. 10^(dB/10).

Physics is the toolkit for turning a real-world observation into a prediction. Whether it’s a falling object, a moving car, or a stressed beam, the equations here are the same ones every engineer relies on. The dB to Power Ratio sits in that toolkit — it 10^(dB/10). Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

Power ratio = (10)^(t / 10) | Voltage ratio = (10)^(t / 20)

Where

db
dB
Power ratio
Output value
Voltage ratio
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: dB = 20.

  1. 01Start by noting the input — dB: 20.
  2. 02Substitute these values into the formula: Power ratio = (10)^(t / 10) | Voltage ratio = (10)^(t / 20)
  3. 03Compute Power ratio: the calculator returns 100.
  4. 04Compute Voltage ratio: the calculator returns 10.
  5. 05Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common dB to Power Ratio Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

dB halved

db = 10 (from 20)

Keep every other input at its default and halve the db. See how power ratio responds.

  1. 01New dB: 10
  2. 02Baseline Power ratio: 100
  3. 03New Power ratio: 10
  4. 04Power ratio decreases by 90% → use this sensitivity to plan for real-world variation.
02 · PATTERN

dB doubled

db = 40 (from 20)

Keep every other input at its default and double the db. See how power ratio responds.

  1. 01New dB: 40
  2. 02Baseline Power ratio: 100
  3. 03New Power ratio: 10000
  4. 04Power ratio increases by 9900% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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