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Battery Capacity Calculator

Estimate the amp-hours you need for a watt load and target runtime, including depth of discharge and efficiency factors.

Size Ah from hours
DoD & efficiency
Inverse of runtime tool

Solves Ah = (W · hours) / (V · DoD · η) for educational battery bank sizing.

Limitation: Educational estimate only.

Jump to calculator · Sources & review

How to Use the Battery Capacity Calculator

Enter the fields below, then review the educational estimate.

1

Enter load watts and desired hours.

Add margin

Real systems need spare capacity for aging, cold weather, and surge loads—this math is a starting point.

What This Calculator Estimates

Inverse of the runtime worksheet: solve for amp-hours given energy need and usable fraction.

Worked Examples

100 W for 8 h on 12 V

Inputs

loadWatts:100
runtimeHours:8
batteryVolts:12
depthOfDischarge:0.8
efficiency:0.9

Result

≈ 92.6 Ah

Ah = (100·8) / (12·0.8·0.9).

Safety first

De-energize circuits before measuring. When in doubt, stop and consult a licensed electrician.

Frequently Asked Questions

Voltage adds in series; Ah adds in parallel for identical cells. Enter the bank’s nominal voltage and total Ah capability.

Still have questions about this calculation?

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Formulas & Assumptions

Transparent educational arithmetic. Not NEC design software or a wiring permit.

Formula

Wh ​=​ W · hours

Required energy

Wh ​=​ W · hours

Capacity

Ah ​=​ Wh ​/​ ​(​V · DoD · η​)​

Scientific Background

Shares the linear energy model with the battery runtime calculator. Charge controllers, solar input, and Peukert effects are out of scope for Phase 1.

Sources & review

Battery Capacity Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.

Last reviewed

July 22, 2026

See our methodology and corrections policy.