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Peukert's Law Runtime Calculator

Real lead-acid runtime at any load — Peukert exponent corrects the Ah rating for discharge rate.

A '100 Ah' lead-acid battery is only 100 Ah at the gentle 20-hour rate. Pull harder and capacity evaporates — Peukert's 1897 law quantifies exactly how much. Enter your battery's rating and real load current to get honest runtime; the k-value help text covers flooded, AGM, gel and lithium.

3.5 hours
Runtime at this load
71 Ah
Effective capacity
71%
Of rated

Peukert's law: t = H·(C/IH)^k. At 20 A, your 100 Ah battery behaves like a 71 Ah one — lead-acid loses usable capacity fast under heavy loads, which is why inverter banks are oversized and why lithium (k ≈ 1.03) delivers nearly full capacity at any rate.

Sources: Peukert (1897) empirical law; datasheet k values per construction

Engineering estimate from published standards and typical equipment data. Site conditions, equipment datasheets and measured data govern the real result — confirm with a qualified engineer.

Use the free Peukert's Law Runtime Calculator online — Real lead-acid runtime at any load — Peukert exponent corrects the Ah rating for discharge rate. Runs instantly in your browser: no signup, no upload, mobile-friendly.

About Peukert's Law Runtime Calculator

A '100 Ah' lead-acid battery is only 100 Ah at the gentle 20-hour rate. Pull harder and capacity evaporates — Peukert's 1897 law quantifies exactly how much. Enter your battery's rating and real load current to get honest runtime; the k-value help text covers flooded, AGM, gel and lithium.

How to use Peukert's Law Runtime Calculator

  1. 1Enter the rated capacity and its hour basis (usually C20).
  2. 2Set the Peukert exponent for your battery construction (help text guides).
  3. 3Enter your actual load current and read the honest runtime and effective capacity.

Why use Peukert's Law Runtime Calculator?

  • The 1897 law that explains why your '100 Ah' battery isn't
  • Construction-specific exponents: flooded, AGM, gel, lithium
  • Honest runtime at YOUR load, not the 20-hour lab rate
  • Explains inverter-bank sizing in one screen

Frequently asked questions

Why does my battery last much less than the Ah rating suggests?+

Peukert's law: lead-acid capacity shrinks as discharge current rises. A 150 Ah C20 battery delivers its rating only at 7.5 A; at 30 A it behaves like ~100 Ah. The rating wasn't a lie — it was measured at a gentler rate than your inverter draws.

What is a typical Peukert exponent?+

Flooded lead-acid 1.25–1.35, AGM 1.10–1.25, gel 1.20–1.30, lithium (LFP) 1.02–1.05 — effectively immune. Higher k means faster capacity collapse under load. Quality datasheets let you derive k from the C20/C10/C5 ratings.

How should I size a battery bank for an inverter?+

Compute your load current (watts ÷ battery voltage ÷ inverter efficiency), apply Peukert to get effective capacity, then size so the load stays near the rating's hour basis and within your DoD budget (50% for lead-acid). This is why serious inverter banks look 'oversized' — they're sized honestly.

Does Peukert's law apply to lithium batteries?+

Barely — LFP holds nearly full capacity from C/20 to 1C (k ≈ 1.03). That's a hidden economic edge: a 100 Ah LFP delivers ~95+ Ah under heavy load where a 100 Ah lead-acid delivers ~65 Ah, narrowing the real price-per-usable-Ah gap dramatically.

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