They’re not the same thing, one is multiplication, the other is division.
Watts are a unit of power.
Joules are a unit of energy.
1 Watt = 1 Joule per second.
Watt hours are units of energy.
1 Watt hour = 3600J.
There are 3600 seconds in an hour, so that’s how many joules of energy you would use if you left a 1 watt load powered for 1 hour.
Watts per hour is not a commonly used unit. It would describe the rate of change in power. For example, if you have a machine that’s using 10w, 1 hour from now, it uses 15w, and an hour later you’re using 20, the power would be changing at 5W/hr.
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