Battery Capacity Calculator

Convert battery capacity between Ah, Wh, and kWh — plus see runtime estimates for common appliances at your battery's usable capacity.

Ah
%
Battery capacity conversions
200.0 Ah  =  2,400 Wh  =  2.40 kWh
Amp-hours (Ah)200.0 Ah
Watt-hours (Wh)2,400 Wh
Kilowatt-hours (kWh)2.400 kWh
Usable Ah (80% DoD)160.0 Ah
Usable Wh (80% DoD)1,920 Wh
Usable kWh (80% DoD)1.920 kWh
ApplianceWattsRuntime
Phone charging (20W USB-C)20W3d 14h
Laptop (65W)65W1d 3h
LED lighting (5 bulbs, 10W ea)50W1d 11h
Internet router15W4d 19h
12V compressor fridge (40W avg)40W1d 19h
Standard household fridge150W11h 31m
LED TV 55"110W15h 43m
Box fan75W23h 2m
Portable CPAP machine30W2d 10h
Sump pump (running)400W4h 19m
Window AC (5,000 BTU)500W3h 27m
Mini split (9,000 BTU)900W1h 55m
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How to Use This Calculator

Enter Ah or Wh — whichever you know

Click the toggle to choose whether you're starting with amp-hours (Ah) or watt-hours (Wh). Ah is printed on most battery labels (100Ah, 200Ah). Wh is sometimes listed in spec sheets or on all-in-one battery systems. The calculator converts between all three units — Ah, Wh, and kWh — instantly.

Set the battery voltage

The voltage is the critical multiplier: Wh = Ah × Voltage. A 100Ah battery at 12V holds 1,200 Wh. The same 100Ah capacity at 48V holds 4,800 Wh — 4× more energy despite the same Ah rating. This is why you can't compare batteries by Ah alone without knowing the voltage.

Set depth of discharge

The depth of discharge determines your usable capacity — what you can actually draw out. At 80% DoD, a 200Ah 12V battery (2,400 Wh) gives you 1,920 Wh. At 50% DoD (lead-acid), the same battery gives only 1,200 Wh. The runtime table below the conversions shows how long each appliance can run from your usable Wh.

Read the runtime table

The runtime estimates assume 90% inverter efficiency for AC appliances. DC loads (12V fridge, LED strips connected directly) run slightly longer since there's no inverter loss. Use the table as a quick reference to understand what your battery can realistically power.

The Formula

Wh = Ah × Voltage Ah = Wh ÷ Voltage kWh = Wh ÷ 1,000 Usable Wh = Wh × DoD (%) Usable Ah = Ah × DoD (%) Runtime (hours) = Usable Wh ÷ (Load watts ÷ Inverter efficiency)

Key relationships to memorize: Ah tells you current × time (how long you can draw a given current). Wh tells you power × time (the total energy). Always multiply Ah by voltage to get Wh before comparing batteries at different voltages.

Example

Understanding a 200Ah 12V battery

A 200Ah 12V LiFePO4 battery (80% DoD, 90% inverter efficiency):

Total capacity200Ah = 2,400 Wh = 2.4 kWh
Usable at 80% DoD160Ah = 1,920 Wh = 1.92 kWh

Runtime for common appliances

Phone charging (20W)~107 hours (4.5 days)
Laptop (65W)~33 hours
12V compressor fridge (40W)~53 hours
Standard fridge (150W)~14 hours
LED TV 55" (110W)~19 hours
Window AC (500W)~4.3 hours

The same battery at a 48V system voltage would hold 9,600 Wh (4× more energy) despite having the same 200Ah rating — because the higher voltage carries more power per amp. This is why 48V systems are more efficient for high-power applications.

FAQ

Amp-hours (Ah) measure charge — it tells you how many amps the battery can deliver for how long, but only at a specific voltage. A 100Ah battery doesn't tell you how much energy it stores until you multiply by voltage. Watt-hours (Wh) and kilowatt-hours (kWh) are energy units — they're voltage-independent and directly comparable across different batteries and systems. Your utility bill is in kWh. Battery spec sheets use Wh or kWh for clarity. Always convert: 100Ah × 12V = 1,200 Wh = 1.2 kWh.
A "100Ah 48V" battery stores 4,800 Wh. A "100Ah 12V" battery stores 1,200 Wh. For the same money, a 48V battery has the same Ah but 4× the energy. Don't compare battery Ah across different voltages — always compare Wh or kWh. When shopping for 48V systems, you'll often see 100Ah batteries priced 3–4× higher than 12V 100Ah batteries, which makes sense because they hold 4× the energy.
The C-rating specifies discharge rate relative to capacity. C1 (or 1C) means full discharge in 1 hour: a 100Ah battery at C1 = 100A discharge. C20 means 20-hour rate: 100Ah at C20 = 5A discharge. Battery capacity ratings (the Ah on the label) are typically measured at C20. Lead-acid batteries deliver significantly less capacity at higher C-rates (Peukert's effect). LiFePO4 can handle C1–C2 rates with minimal capacity loss. High C-rates (2C, 3C) are needed for inverters running high-wattage loads.
Cold temperatures significantly reduce battery capacity. LiFePO4 at 0°C (32°F) delivers about 70–80% of rated capacity. At -20°C (-4°F), capacity drops to 50–60%. Lead-acid is even more temperature-sensitive. Cold also prevents charging — lithium batteries must not be charged below 0°C without a built-in heating element (many premium batteries include this). Heat also reduces capacity and accelerates degradation. Ideal storage and operating temperature for most batteries is 15–25°C (59–77°F).
Once you know your battery's Wh capacity, divide by your peak sun hours to get required panel wattage: Panel watts needed = Battery Wh ÷ Peak sun hours ÷ System efficiency. For a 2,400 Wh battery, 5 peak sun hours, and 86% system efficiency: 2,400 ÷ 5 ÷ 0.86 = 558W of solar panels to recharge in one day. Use our Battery Charge Time Calculator for the full calculation including charge controller efficiency.

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