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The operation of inverting direct current(DC) to alternating current(AC) is commonly achieved by utilizing the DC source(battery, solar panel, etc.) to generate a sinusoidal waveform at 60Hz which is the same type of shape as a household AC outlet. The waveform is created at very low voltage levels by small electronic components arranged in a circuit called an oscillator. With that small waveform, another circuit will boost it using different types of amplification methods such as Transformers, Field Effect Transformers or circuits of the kind. The final AC voltage is in turned controlled by a regulating circuit which increases the power output from the amplifier to match the load requirement of your devices.

Bare in mind that in order for one to achieve 10Amps of AC at 120 Volts, a 12 Volts battery would need to supply approximately 100 Amps to the amplifier circuit.

Here is an example

P = Power = Voltage(V) x Current (I)

If you have 12 V, you need roughly 42 Amps to generate 500Watts

If you have 120V, you need roughly 4.2 Amps to generate 500Watts

therefor, you need 42Amps at 12V to provide a 500Watts load at 120V

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