kWh to J Converter - Kilowatt-hour to Joule
Kilowatt-hour (kWh) to Joule (J)
Direct answer
1 kWh = 3,600,000 J
J = kWh × 3,600,000
Converter
Conversion formula
J = kWh × 3,600,000
kWh = J × 2.77777778e-7
Example: 10 kWh = 10 × 3,600,000 = 36,000,000 J.
Common conversion table
| kWh | J |
|---|---|
| 1 kWh | 3,600,000 J |
| 2 kWh | 7,200,000 J |
| 5 kWh | 18,000,000 J |
| 10 kWh | 36,000,000 J |
| 20 kWh | 72,000,000 J |
| 50 kWh | 180,000,000 J |
| 100 kWh | 360,000,000 J |
| 1,000 kWh | 3.6e+9 J |
Conversion derivation
Express both kWh and J in the same base unit J (joule), then cancel the shared base unit.
- 1
Rewrite kWh in the base unit
- 2
Rewrite J in the base unit
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Forward conversion
- 4
Reverse conversion
AI explanation for this conversion
This pre-generated explanation is schema-checked. Numeric results still come from the page formula and calculator.
Conversion from kilowatt-hour to joule
This conversion factor holds because a kilowatt-hour is a unit of energy defined as one kilowatt of power used for one hour, and a joule is the SI unit of energy. The factor 3,600,000 arises from the relationship between kilowatts, hours, and the definition of a watt.
Definition
A kilowatt-hour (kWh) is a unit of energy commonly used for electrical energy consumption. It is defined as the energy delivered by one kilowatt of power over one hour. A joule (J) is the SI derived unit of energy, defined as the work done by a force of one newton acting through a distance of one meter.
Principle
The conversion factor is derived from the definitions of the units involved. One kilowatt equals 1,000 watts, and one hour equals 3,600 seconds. Since one watt is defined as one joule per second, multiplying these gives 1 kWh = 1,000 W × 3,600 s = 3,600,000 J.
Assumptions
- The conversion uses the exact definitions of the kilowatt-hour and the joule as provided in the context.
- The factor 3,600,000 is treated as exact, derived from the multiplication of 1,000 (for kilo) and 3,600 (for hours to seconds).
Cautions
- This conversion assumes the standard definitions and does not account for any historical or regional variations in unit definitions.
- The result should be rounded to the precision required by the specific calculation, as noted in the FAQ.
FAQ
How many J are in 1 kWh?
1 kWh = 3,600,000 J.
How many J are in 10 kWh?
10 kWh = 36,000,000 J.
How many J are in 100 kWh?
100 kWh = 360,000,000 J.
What is the formula to convert kWh to J?
Use J = kWh × 3,600,000.
How many kWh are in 1 J?
1 J = 2.77777778e-7 kWh.
What should I check when converting kWh to J?
Use the conversion factor and round the result to the precision required by your calculation.