To determine if a 120Ah deep cycle battery can power a 700W microwave oven through a 1400W inverter, we need to calculate the power requirements and expected run time of the setup.
- Power requirements:
- The microwave's power rating: 700W
- The inverter's continuous power rating: 1400W
- Battery capacity:
- The capacity of the deep cycle battery: 120Ah
To find out if the setup is feasible, we'll first consider the power conversion efficiency of the inverter. Inverters are not 100% efficient, and some power is lost during the conversion process. A typical efficiency for a good-quality inverter is around 85-90%.
Let's use an efficiency of 90% for this calculation to be on the conservative side.
Power needed by the microwave oven = 700W Power drawn from the battery = (Power needed by the microwave) / (Inverter efficiency) = 700W / 0.9 ≈ 778W
Now, we'll calculate the run time of the microwave oven with the given battery capacity:
Battery capacity = 120Ah Run time (hours) = (Battery capacity) / (Power drawn from the battery) = 120Ah / (778W) ≈ 0.154 hours ≈ 9.25 minutes
So, with a 120Ah deep cycle battery and a 1400W inverter (assuming 90% efficiency), you can power a 700W microwave oven for approximately 9.25 minutes. Keep in mind that this calculation does not account for other factors like battery age, temperature, and depth of discharge, which can affect the actual performance of the battery. It's always a good idea to have some extra capacity or a backup power source for longer usage durations.