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The stand-by current does not alter that much between inverter sizes and likely it will not be worth using a smaller inverter as normally what is used determines the current draw by inverter.
So 500W out will likely with losses mean 650W in which will be around the 60A mark.
Likely 16mm sq cable will be ample for that load but you would need to fuse so if some one plugged in anything bigger the fuse will blow rather than cable melt. The fuse could be a small bit of 6mm cable using a porcelain motor connection block or other item which will not melt but you can't rely on the fuses in the inverter as they will be too big for the cable.
Many inverters warn about using motors on them and likely it will need to be oversized because of the type of load. I would play safe and ask if the inverter is suitable before buying.
We did fit two semi-conductor fuses on ours to protect the inverter. Do remember MCB's are too slow to protect semi-conductor devices.
So 500W out will likely with losses mean 650W in which will be around the 60A mark.
Likely 16mm sq cable will be ample for that load but you would need to fuse so if some one plugged in anything bigger the fuse will blow rather than cable melt. The fuse could be a small bit of 6mm cable using a porcelain motor connection block or other item which will not melt but you can't rely on the fuses in the inverter as they will be too big for the cable.
Many inverters warn about using motors on them and likely it will need to be oversized because of the type of load. I would play safe and ask if the inverter is suitable before buying.
We did fit two semi-conductor fuses on ours to protect the inverter. Do remember MCB's are too slow to protect semi-conductor devices.