J to kWh Converter - Joule to Kilowatt-hour
Joule (J) to Kilowatt-hour (kWh)
Direct answer
1 J = 2.77777778e-7 kWh
kWh = J × 2.77777778e-7
Converter
Conversion formula
kWh = J × 2.77777778e-7
J = kWh × 3,600,000
Example: 10 J = 10 × 2.77777778e-7 = 0.000002777778 kWh.
Common conversion table
| J | kWh |
|---|---|
| 1 J | 2.77777778e-7 kWh |
| 2 J | 5.55555556e-7 kWh |
| 5 J | 0.000001388889 kWh |
| 10 J | 0.000002777778 kWh |
| 20 J | 0.000005555556 kWh |
| 50 J | 0.000013888889 kWh |
| 100 J | 0.000027777778 kWh |
| 1,000 J | 0.000277777778 kWh |
Conversion derivation
Express both J and kWh in the same base unit J (joule), then cancel the shared base unit.
- 1
Rewrite J in the base unit
- 2
Rewrite kWh in the base unit
- 3
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 joule (J) to kilowatt-hour (kWh)
This conversion factor relates the SI unit of energy, the joule, to a common unit used in electricity metering, the kilowatt-hour. The factor is derived from the definitions of both units in terms of the joule.
Definition
The joule (J) is the SI derived unit of energy. The kilowatt-hour (kWh) is a unit of energy commonly used for electrical energy, defined as the energy consumed by a one-kilowatt appliance operating for one hour.
Principle
The conversion principle is to express both units in terms of the common base unit, the joule. Since 1 kilowatt-hour is defined as 1,000 watts for 3,600 seconds, and 1 watt-second equals 1 joule, it follows that 1 kWh equals 3,600,000 joules. The conversion factor from joules to kilowatt-hours is the reciprocal of this value.
Assumptions
- The conversion is based on the standard definitions: 1 watt = 1 joule per second, and 1 hour = 3,600 seconds.
- The definitions of the kilowatt and hour are exact and do not change.
Cautions
- This is a mathematical conversion based on unit definitions. It does not account for real-world measurement precision or instrument calibration.
- Rounding may be necessary when using the conversion factor, especially for very small or large values.
FAQ
How many kWh are in 1 J?
1 J = 2.77777778e-7 kWh.
How many kWh are in 10 J?
10 J = 0.000002777778 kWh.
How many kWh are in 100 J?
100 J = 0.000027777778 kWh.
What is the formula to convert J to kWh?
Use kWh = J × 2.77777778e-7.
How many J are in 1 kWh?
1 kWh = 3,600,000 J.
What should I check when converting J to kWh?
Use the conversion factor and round the result to the precision required by your calculation.