Battery & Solar ReferenceUpdated 2026-08-15

Battery Engineering Fundamentals: Ah, Wh, C-Rate & Chemistry

Essential technical reference covering battery capacity metrics (Ah vs. Wh), Depth of Discharge (DoD), State of Charge (SoC), C-rates, cycle life, and Lead-Acid vs. Lithium comparison.

Key Formulas: Wh = V_nom × Ah | C_rate = I / Ah | Usable Wh = Wh × DoD × η

Understanding Amp-Hours (Ah) vs. Watt-Hours (Wh)

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Amp-Hour (Ah): Measures electric charge capacity (1 Ah=3,600 Coulombs1 \text{ Ah} = 3,600 \text{ Coulombs}). It indicates how many amperes a battery can deliver for 1 hour at nominal conditions.
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Watt-Hour (Wh): Measures total electrical energy (Wh=Nominal Volts×AhWh = \text{Nominal Volts} \times Ah). Watt-hours allow direct comparisons between batteries of different voltages (e.g., a 12V 100Ah battery and a 48V 25Ah battery both store 1,200 Wh of energy).

Depth of Discharge (DoD) & Cycle Life

Depth of Discharge (DoD) represents the percentage of battery capacity removed relative to total rated capacity:

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Flooded & AGM Lead-Acid: Recommended maximum 50% DoD. Regular discharges to 80-100% reduce lifespan from 500 cycles to under 150 cycles.
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Lithium Iron Phosphate (LiFePO4): Can safely be discharged to 80-90% DoD daily, achieving 2,000 to 5,000+ full charge cycles.

C-Rate Discharge Rating

The C-rate normalizes discharge or charge current against battery capacity:

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1C1C for a 100Ah battery = 100 Amperes (discharges in 1 hour).
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0.2C0.2C (or C/5C/5) for a 100Ah battery = 20 Amperes (discharges in 5 hours).
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2C2C for a 100Ah battery = 200 Amperes (discharges in 30 minutes).

Frequently Asked Questions

Why does lead-acid deliver less capacity at high discharge rates?

Due to Peukert's Law: high discharge currents increase internal resistance losses and deplete active electrolyte ions near the lead plate surfaces faster than diffusion can replenish them.

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