Conventions based on two separate industries that suddenly got thrown together via EVs.
Most battery users prefer amp-hours (and all it’s variations) as it allows them to more directly calculate the total state of charge on a given pack; all you need is the voltage. Plus, for most applications, the voltage is fixed, so there’s no need to convert to watts when amps will do fine.
However, automotive prefers watt-hours (and all its variations) because the ratings for engines are either in terms of power (i.e. kilowatts or horsepower), or in brake-specific terms (i.e. fuel consumption per kilowatt-hour).
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