Kilowatt Hours to Joules
Convert kilowatt hours (kWh) to joules (J). Both measure work and power, and the conversion comes up in nutrition, electricity, fitness work.
The Formula
``
joules = kilowatt hours Ć 3600000
kilowatt hours = joules Ć 2.77777777778e-7
`
One kilowatt hour is 3,600,000 joules, and one joule is 2.7778e-7 kilowatt hours.
Conversion Table
| Kilowatt Hours | Joules |
|---|---|
| 1 kWh | 3,600,000 J |
| 2 kWh | 7,200,000 J |
| 5 kWh | 18,000,000 J |
| 10 kWh | 36,000,000 J |
| 25 kWh | 90,000,000 J |
| 50 kWh | 180,000,000 J |
| 100 kWh | 360,000,000 J |
| 500 kWh | 1,800,000,000 J |
| 1,000 kWh | 3,600,000,000 J |
The Other Direction
| Joules | Kilowatt Hours |
|---|---|
| 1 J | 2.7778e-7 kWh |
| 2 J | 5.5556e-7 kWh |
| 5 J | 1.3889e-6 kWh |
| 10 J | 2.7778e-6 kWh |
| 25 J | 6.9444e-6 kWh |
| 50 J | 1.3889e-5 kWh |
| 100 J | 2.7778e-5 kWh |
| 500 J | 1.3889e-4 kWh |
| 1,000 J | 2.7778e-4 kWh |
What Each Unit Is
Kilowatt Hours (kWh) ā 1,000 watt-hours, or 3.6 million joules. The unit electricity has been billed in since metering began.
Joules (J) ā the work done by one newton acting over one metre ā the SI derived unit of energy. Named for James Prescott Joule, who established the mechanical equivalent of heat.
A Sense of Scale
A home uses 8ā30 kWh a day- An EV takes 15ā20 kWh per 100 km
- Lifting an apple one metre takes about 1 J
- A heartbeat uses roughly 1 J
Precision
The factor 3600000 is rounded. For engineering work carry more digits than the table above, and round only at the end ā rounding at each step compounds.
In Code
`javascript
const kilowattHourToJoule = (value) => value * 3600000;
``
Where This Conversion Comes Up
- Nutrition
- Electricity
- Fitness
- Heating
- Fuel
How Many Decimals Do You Need?
Rounding the factor costs accuracy, and how much depends on the factor. Converting 137 kWh with the factor truncated at each decimal place:
| Decimals kept | Factor | 137 kWh becomes | Error |
|---|---|---|---|
| 0 | 3600000 | 493,200,000 | ā |
| 1 | 3600000 | 493,200,000 | ā |
| 2 | 3600000 | 493,200,000 | ā |
| 3 | 3600000 | 493,200,000 | ā |
| 4 | 3600000 | 493,200,000 | ā |
The right number of significant figures is set by your input, not by the converter. If you measured kilowatt hours to three significant figures, the answer in joules is only good to three ā writing more digits claims precision the measurement never had.