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Watts are a measure of power, Joules are a measure of energy. The energy is equal to the power times the time.
So if you have a power of 5 watts running for 7 seconds, that is 5x7 Joules of energy, or 35 Joules.
Looked at another way, power measures how fast energy is converted. So 35 Joules converted in 7 seconds would be 5 watts of power, but it would need 35 watts to convert that energy in 1 second.
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