Inputs

Conversion direction
100 Ah
12V

Energy result

Energy (kWh)
1.2 kWh
Formula
kWh = Ah × Voltage ÷ 1000
100 Ah × 12V ÷ 1000 = 1.2 kWh
At 12V
1.2 kWh
At 48V
4.8 kWh

Understanding Ah vs kWh

What's the difference?

Amp Hours (Ah) measures a battery's charge capacity — how much current it can deliver over time. Kilowatt Hours (kWh) measures total energy storage, which is more useful for comparing batteries at different voltages.

Why voltage matters

A 100Ah 12V battery and a 50Ah 24V battery both store the same energy (1.2 kWh), but they're suited for different applications:

  • 12V systems — RVs, boats, small off-grid setups
  • 24V systems — Larger RVs, medium solar systems
  • 48V systems — Home battery backup, large solar installations

Depth of discharge (DoD)

Not all battery capacity is usable. DoD tells you how much you can safely use:

Lead-acid

50% DoD recommended — using more reduces lifespan significantly

LiFePO4

80–90% DoD safely usable — longer lifespan at any depth

Real-world solar examples

Lead-acid vs lithium

Lead-acid bank

4 × 6V 225Ah in series for 24V

  • Total: 5.4 kWh
  • Usable (50% DoD): 2.7 kWh

LiFePO4

1 × 48V 100Ah

  • Total: 4.8 kWh
  • Usable (90% DoD): 4.32 kWh

Despite lower raw capacity, the lithium battery delivers 60% more usable energy.

DIY LiFePO4 vs Tesla Powerwall

Tesla Powerwall 2

13.5 kWh at ~50V = ~270Ah

DIY build

4 × 3.2V 280Ah EVE cells in series

51.2V × 280Ah = 14.34 kWh (12.9 kWh usable) at roughly half the cost

Sizing overnight backup

Average US home uses ~30 kWh/day. Overnight (6pm–6am) is roughly 12 kWh. At 48V: 250Ah needed. With lithium (90% DoD): 278Ah. With lead-acid (50% DoD): 500Ah — showing why lithium needs roughly half the Ah capacity.

When you'll need this conversion

Comparing batteries at different voltages

A 12V 200Ah battery and a 24V 100Ah battery both store 2.4 kWh. Without converting, the 200Ah battery appears to have "twice the capacity" — a common misconception.

Calculating battery ROI

A 48V 200Ah LiFePO4 battery ($2,400) stores 9.6 kWh (8.64 kWh usable at 90% DoD). Cost per usable kWh: $278. Over 4,000 cycles: $0.069/kWh/cycle.

Matching battery to solar production

A solar array producing 6 kWh on a typical day needs 125Ah at 48V for nighttime storage. With 90% DoD, the bank needs at least 139Ah at 48V.

Tips & common mistakes

Ah without voltage is meaningless. A 12V 200Ah battery (2.4 kWh) stores far less energy than a 48V 200Ah battery (9.6 kWh). Marketing highlights Ah because it looks bigger at lower voltages. Always compare in kWh.
Nominal vs actual voltage matters. A "12V" LiFePO4 actually operates at ~12.8V nominal. Using 12.8V: 100Ah × 12.8V = 1,280Wh vs 1,200Wh at 12V — a 6.7% difference that compounds across large banks. Use 12.8V for LFP, 25.6V for "24V," and 51.2V for "48V."
Account for depth of discharge. The formula gives total capacity, not usable capacity. Lead-acid: 50% DoD. AGM: 60–70% DoD. LiFePO4: 80–90% DoD. Always multiply kWh by DoD to get real-world usable energy.

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Last updated: January 17, 2026
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