So a dedicated car charger it is then. Why will a car one charge it but an inverter and 240v charger not?
Forgive my ignorance, I'm no electrical and it's a dark art to me.
Losses. When converting from 12vdc to 240vac there is a loss. Quite a large loss, somewhere around 70% efficient.
Then there's another loss when you convert back from 240vac to 42vdc. Probably about 80%. So, you end up with 80% of 70%, or about 50% wasted.
The dedicated charger also has losses, but they will be a lot lower.
Ultimately, your car battery (average car) is around 400-500wh of usable energy. That's about the same as your bike battery, so there's not much room for wastage.
The other problem is current. As others have said, the 12v side will need to draw a massive current, around 40a, possibly more. You lighter socket won't be happy with that.
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