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110 vs 220v

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Broad brushstrokes:
Resistance = loss. Resistance scales with the square of current. For the same power, lower current is better. Higher voltage is generally less lossy / wasteful.

True, but accounting for the car’s overhead required to power itself and the charging circuitry, 240v charging is more efficient. This is borne out in Tesla’s own MPH figures for various charging figures.
 
What is cheaper on electricity. Use a 110v charge (take longer) vs 220v (30 amp breaker) with a faster charge

1) US nominal voltages have been 120v and 240v for about a hundred years now.

2) 240v charging is more efficient and will cost less because more of the kWh drawn from your meter will actually end up as energy in the battery.