How this calculator works
- Step 1EnergyAh × VWatt-hours stored.
- Step 2Usable× depth of dischargeThe share you actually use.
- Step 3Backupusable × efficiency ÷ loadHours at that load.
A battery’s ampere-hours times its voltage gives its energy in watt-hours. Only part of that is used before the inverter cuts off, and the inverter loses some energy turning DC into AC.
Divide what is left by the load in watts to get the backup in hours.
Worked example: a 150 Ah battery on 400 W
- Hours
Ah × V × usable × efficiency ÷ load
- Stored energy150 × 121,800 Wh
- Usable energy1,800 × 80%1,440 Wh
- Delivered1,440 × 85%1,224 Wh
- Backup1,224 ÷ 4003 h 3 min
Read the result
For 4 hours at 400 W you need about 196 Ah of 12 V battery, with the same assumptions.
- Two batteries, 600 W4 h 4 minTwice the energy for 1.5 times the load.
- One battery, 200 W6 h 7 minHalving the load doubles backup.
Assumptions and limits
- Battery ageCapacity falls as batteries age.
- High currentHeavy loads get less than the rated Ah.
- Standby drawInverters use some power themselves.
- Not charging timeRecharging is a separate calculation.
Related energy tools
Backup time depends on the load in watts. Appliance use and bills are the same numbers over time.
To see what each appliance adds to your bill, use the electricity calculator. The Ohm’s law calculator relates watts, volts and amps.
Common mistakes
Mistake: Using the full Ah as usable.
Instead: Multiply by the depth of discharge.
Mistake: Forgetting inverter losses.
Instead: Divide the load by the efficiency.
Checking the method
A separate script drains the battery second by second at the load and finds the needed size by bisection, matching every golden value.
Read how we test our calculators, or browse more everyday tools.