To determine if a 100Ah battery can run a 3000W inverter, we need to calculate the runtime of the inverter. The runtime of an inverter depends on the energy capacity of the battery and the amount of power drawn by the inverter.

The equation to calculate the runtime is as follows:

Battery Ah ÷ Inverter Amps = Runtime

To calculate the inverter amps, we need to divide the wattage of the inverter by the voltage of the battery. Assuming a 12V battery, the inverter amps would be:

3000W ÷ 12V = 250A

Therefore, the runtime of a 3000W inverter with a 100Ah battery would be:

100Ah ÷ 250A = 0.4 hours

This means that a 100Ah battery would not be sufficient to run a 3000W inverter for an extended period of time. You would need a larger battery or multiple batteries to provide enough energy for the inverter.