How long will a 3000 watt inverter run on a 12 volt battery?

The runtime of a 3000-watt inverter on a 12-volt battery depends on the capacity of the battery, measured in amp-hours (Ah). To calculate, first convert watts to amps using the formula: Amps = Watts / Volts. For a 3000-watt inverter at 12 volts, it draws 250 amps. If you have a 100 Ah battery, for example, it would run for about 0.4 hours (24 minutes) under ideal conditions, not accounting for efficiency losses or the battery's discharge limits.