Calculators · EV and electrical

Battery capacity, runtime and charging time calculator

Batteries are rated in amp-hours, but what powers your equipment is energy in watt-hours — amp-hours multiplied by voltage. These calculators convert between the two, estimate how long a battery will run a given load, how long a charger takes to refill it, and apply Ohm’s law for the voltage, current, power and resistance of a circuit. They apply to car, leisure, marine, solar and backup batteries alike.

Amp-hours to watt-hours

Multiplies capacity in amp-hours by the battery’s nominal voltage to give stored energy. It is the only fair way to compare batteries of different voltages, such as a 12 V and a 24 V system.

Results
Energy—WhStored energy in watt-hours.
Energy—kWhThe same in kilowatt-hours.

Formula
Wh = Ah × V

Runtime for a load

Estimates how long a battery can power a device, using only the share of capacity it is safe to discharge and allowing for inverter losses if the device runs on mains voltage. Lead-acid batteries should not be discharged below about 50%.

Results
Runtime—hoursEstimated time until the usable capacity is used.
Usable energy—WhEnergy available to the load after losses.

Formula
usable = Ah × V × DoD × efficiency
runtime = usable / load

Charging time

Estimates how long a charger takes to bring a battery from one state of charge to another. Charging efficiency is about 85% for lead-acid and 95% for lithium; the final absorption stage of lead-acid charging adds extra time not modelled here.

Results
Charge to put in—AhAmp-hours the charger must deliver, including losses.
Charging time—hoursCharge needed divided by charger current.

Formula
Ah needed = capacity × (target − start) / 100 / efficiency
time = Ah needed / charger current

Ohm’s law: power and resistance

From voltage and current, calculates power and resistance. Use it to work out what a 12 V accessory draws, or to check a heater or bulb rating against the current a circuit can carry.

Results
Power—WVoltage multiplied by current.
Resistance—ΩVoltage divided by current.

Formula
P = V × I
R = V / I

Worked example: a camper leisure battery

  1. A 100 Ah lithium battery at 12.8 V stores 1,280 Wh.
  2. Using 80% of it through a 90%-efficient inverter leaves 922 Wh for the load.
  3. A 200 W fridge and lights run for about 4.6 hours.
  4. A 10 A charger refills a 100 Ah lead-acid battery from 20% in about 9.4 hours.

Typical battery characteristics

Battery typeNominal voltageUsable depth of dischargeCharging efficiency
Flooded lead-acid12 Vabout 50%about 80 – 85%
AGM / gel12 Vabout 50 – 60%about 85 – 90%
Lithium iron phosphate (LiFePO₄)12.8 Vabout 80 – 90%about 95 – 98%
EV traction battery (NMC)350 – 800 V packbuffer managed by the carabout 90 – 95%

Related

About these results

Results are theoretical estimates from standard engineering formulas. Real-world figures depend on conditions these formulas do not capture. Always follow the manufacturer's specifications for maintenance, loading and safety decisions.