No, they’re the opposite.
“Watts per hour” means how many Watts in an hour, “Watt Hours” are the number of watts times the number of hours.
As Power is energy per unit time, that makes Watt Hours a unit of energy. Which is useful in a world where we are used to the cost per KiloWatt of energy and see power ratings on appliances. If a heater is 2KW and we use it for one hour, we know we’ve used 2 Kilowatt hours of energy.
Interestingly this would make Watts per hour a unit per time…. Per time! Which is most commonly seen in acceleration: meters per second, per second. It would imply a rate of change of power, which could be useful in some scenarios.
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