Battery planning

Battery Capacity Calculator

Convert Ah, mAh, Wh and kWh using battery voltage, then estimate usable energy from the SOC window and battery health. Start with a prefilled example and adjust the values you know.

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Battery capacity calculator

This calculator answers how much energy a battery stores from its charge capacity and voltage, or how many amp-hours correspond to known watt-hours. It also separates nominal capacity from the usable energy available within your chosen SOC window.

Ah to Wh calculation

To convert amp-hours to watt-hours, multiply capacity in Ah by voltage: Wh = Ah × V. For example, 100 Ah at 12 V is 1,200 Wh, or 1.20 kWh.

Wh to Ah calculation

To convert watt-hours to amp-hours, divide energy by voltage: Ah = Wh ÷ V. The same 1,200 Wh is 100 Ah at 12 V, 50 Ah at 24 V and 25 Ah at 48 V. These are equivalent charge values, not three battery recommendations.

mAh to Ah and battery kWh

There are 1,000 milliamp-hours in one amp-hour, so 100,000 mAh equals 100 Ah. Divide watt-hours by 1,000 to express the same nominal energy in kWh.

Nominal versus usable battery capacity

Nominal energy is the battery capacity before planning assumptions. Usable energy uses one SOC-window model: usable energy = nominal energy × usable SOC window × battery health. Starting charge and minimum charge define the SOC window; battery health separately represents remaining capacity relative to nominal/new capacity.

Battery capacity examples

A 100 Ah, 12 V battery has 1,200 Wh nominal capacity. With a 100% starting charge, 20% minimum charge and 100% health, the usable estimate is 960 Wh. Ah cannot be converted to energy without voltage, and capacity conversion is separate from sizing a battery for a load and runtime.

Battery Capacity & Voltage Conversion Cheat Sheet

Quick reference matrix converting Amp-Hours (Ah) to stored energy in Watt-Hours (Wh) and Kilowatt-Hours (kWh) across standard DC system voltages:

Energy equivalent (Wh & kWh) for common Amp-Hour capacities across voltages
Charge Capacity (Ah)12V System (12.8V LiFePO4)24V System (25.6V LiFePO4)48V System (51.2V LiFePO4)Typical Use Case
20 Ah240 Wh (0.24 kWh)480 Wh (0.48 kWh)960 Wh (0.96 kWh)Kayak fish finders, small UPS backup
50 Ah600 Wh (0.60 kWh)1,200 Wh (1.20 kWh)2,400 Wh (2.40 kWh)Trolling motors, camping power stations
100 Ah1,200 Wh (1.20 kWh)2,400 Wh (2.40 kWh)4,800 Wh (4.80 kWh)RV house batteries, solar vans, DIY solar
200 Ah2,400 Wh (2.40 kWh)4,800 Wh (4.80 kWh)9,600 Wh (9.60 kWh)Off-grid cabins, marine vessels
300 Ah3,600 Wh (3.60 kWh)7,200 Wh (7.20 kWh)14,400 Wh (14.4 kWh)Whole-home battery backup banks

Battery Capacity & Energy Conversion Formulas

Converts between electrical charge (Ah) and stored energy (Wh/kWh) using nominal terminal voltage, then derives net usable stored energy.

FormulaWatt_Hours (Wh) = Amp_Hours (Ah) × Voltage (V) | Usable_Wh = Nominal_Wh × (Start_SOC - Reserve_SOC) × Health

Variable Definitions

Amp_Hours (Ah)Battery Charge Capacity(Ah)
Rated charge capacity at standard C/20 discharge rate.
Voltage (V)Nominal System Voltage(V)
Rated terminal voltage (12V, 24V, 48V, etc.).
Nominal_WhGross Rated Energy(Wh)
Nominal energy = Ah × Volts (or kWh × 1,000).
Usable_SOCOperating Window(fraction)
Starting state of charge minus minimum reserve cutoff.
HealthState of Health (SOH)(fraction)
Remaining capacity relative to factory original.

Engineering Notes & Standards

  • 1,000 milliamp-hours (mAh) = 1 Amp-Hour (Ah).
  • 1 Kilowatt-Hour (kWh) = 1,000 Watt-Hours (Wh).

Frequently Asked Questions (FAQ)

How do you convert Amp-Hours (Ah) to Watt-Hours (Wh) or kWh?
Multiply Amp-Hours (Ah) by nominal Voltage (V): Wh = Ah × V. To convert to kilowatt-hours (kWh), divide the resulting Watt-Hours by 1,000 (kWh = Wh ÷ 1,000).
How many watt-hours is a 12V 100Ah battery?
A 12V 100Ah battery stores exactly 1,200 Watt-Hours (1.20 kWh) of nominal electrical energy (12V × 100Ah = 1,200Wh).
Can I convert Ah to kWh without knowing the battery voltage?
No. Amp-hours (Ah) measures electrical charge, whereas Watt-hours (Wh/kWh) measures total energy. Voltage is strictly required to calculate energy from charge.
Why is usable battery capacity lower than nominal capacity?
Discharging a battery to 0% causes permanent cell degradation. Lithium LiFePO4 batteries typically maintain a 10%–20% safety reserve buffer (80%–90% usable), while Lead-Acid/AGM batteries require a 50% reserve buffer (50% usable).

Related battery calculators

Use the Battery Runtime Calculator to estimate how long a known capacity may run a load, or use the Battery Size Calculator to calculate the capacity required for a load and desired runtime.