Electronics

Peukert's Law

How battery capacity varies with discharge rate — essential for lead-acid sizing.

Formulas

Basic formC_p = I^k · t
Runtimet = C / I^k × (C / C_rated)^(k−1)
Peukert exponent k1.1 – 1.25 for flooded lead-acid; ~1.05 AGM; ~1.05 Li-ion

Typical k values

Chemistryk
Lead-acid (flooded)1.20 – 1.30
Lead-acid (AGM)1.05 – 1.15
Lead-acid (gel)1.10 – 1.20
NiMH1.05 – 1.10
Li-ion / LiFePO₄~1.05

Example (100 Ah AGM, k=1.1)

Discharge rateAvailable capacity
C/20 (5 A, rated)100 Ah
C/10 (10 A)~89 Ah
C/5 (20 A)~79 Ah
C/2 (50 A)~65 Ah
1C (100 A)~58 Ah

Notes

  • Manufacturer capacity is specified at a reference discharge rate (often C/20 for lead-acid, C/5 for NiMH, 0.5C for Li-ion).
  • Peukert matters most for engine-start (high I) vs house loads (low I) comparisons.
  • Low-k chemistries (Li-ion) are robust to discharge rate — one reason Li-ion dominates modern portable.
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