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Battery Life

Runtime from capacity and load, with a usable-capacity derating.

Inputt = (capacity × derating) / load

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The engineering

The 80% default covers what datasheet mAh ignores: cutoff voltage, temperature, self-discharge, and the regulator's tax. High loads make it worse — capacity falls as current rises (Peukert's observation for lead-acid; lithium suffers less but still suffers).

For duty-cycled loads, average the current over a full cycle including sleep — the standby microamps usually decide field life.

Where this math comes from

Alessandro Volta's 1800 pile started the whole problem of asking how long a battery lasts. Wilhelm Peukert measured the honest answer for lead-acid in 1897: available capacity shrinks as you draw harder, by a power law that carries his name.

A century of chemistries later — Gaston Planté's rechargeable lead-acid (1859) to the 1991 Sony lithium-ion cell (Whittingham, Goodenough, Yoshino's 2019 Nobel) — the derating row is still the difference between the brochure and the field report.

  1. 1800Alessandro VoltaThe voltaic pile — the first battery.
  2. 1859Gaston PlantéRechargeable lead-acid cell.
  3. 1897Wilhelm PeukertCapacity vs. discharge-rate law.
  4. 1991Sony (Whittingham/Goodenough/Yoshino lineage)Commercial lithium-ion changes the budget.

See the full timeline of the math behind every calculator →

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