how are joule and kilowatt hour related?
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It will take the same amount of energy: 1 Joule. ... If you use one kilowatt of power for an hour, you have used 1 kilowatt-hour, abbreviated kWh, of energy. One kilowatt-hour is equivalent to the energy of 1,000 joules used for 3,600 seconds or 3.6 million Joules. In equation form: 1 kWh = 3.6 million J.
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1 kWh= 3.6 × 10⁶ J
This is obtained as follows-
Power= Energy/ time taken
Energy= power × time taken
Energy has the SI unit J, power is represented by watt, time is represented by seconds.
Therefore, 1 J= 1 watt × 1s
Now, 1 kWh = 1000 W × 60× 60 s ( 1 hr= 3600 secs )
⇒ 1 kWh= 36 × 10⁵ watt. s = 3.6 × 10⁶ watt s = 3.6 × 10⁶ J
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