Kilowatt Hour to Joule Converter
Energy · unit-converter
Convert Kilowatt Hour to Joule with fixed input and output units, a step-by-step formula line, and reference tables. Factors are joule-based; food energy uses thermochemical calories. The full Energy Converter also includes MMBtu, toe, thermal kWh, and MeV/GeV.
Calculator
From: Kilowatt Hour (kwh)
To: Joule (j)
About Kilowatt Hour
One kilowatt-hour is the energy from 1 kW of power for one hour: 1 kWh = 3,600,000 J. Utility bills and battery specs often use kWh.
About Joule
The joule is the SI unit of energy. All other units here are converted through fixed joule equivalents.
How to convert kilowatt hours to joules
1 kilowatt hour is equal to 3600000 joule when both are expressed in joule-equivalents:
1 kwh = (3,600,000 J ÷ 1 J) j = 3600000 j
1 kWh = 1 kJ/s × 3,600 s = 3,600,000 J.
Each kilowatt hour is defined as 3,600,000 J and each joule as 1 J in this tool, so one kwh equals 3,600,000 ÷ 1 j = 3600000 j.
Let d(kwh) be the numeric amount in Kilowatt Hour (kwh), and d(j) the amount in Joule (j). Then:
d(j) = d(kwh) × (3,600,000 / 1)
Equivalently, divide by how many kwh fit into one j (joules per j divided by joules per kwh):
d(j) = d(kwh) ÷ 2.77777778e-7
Or: joule = kilowatt hour ÷ 2.77777778e-7
Examples
Example #1: Convert 1 kwh to joule
1 kwh = 1 kwh × (3,600,000/1) j = 3600000 j
1 kwh = 1 kwh ÷ 2.77777778e-7 = 3600000 j
Example #2: Convert 10 kwh to joule
10 kwh = 10 kwh × (3,600,000/1) j = 36000000 j
10 kwh = 10 kwh ÷ 2.77777778e-7 = 36000000 j
Summary
To convert Kilowatt Hour to Joule, multiply the value in kwh by the ratio of joules per kwh divided by joules per j. Equivalently: value_j = value_kwh × (3600000 / 1). Numerically, 1 kwh equals 3600000 j.
Relationship context
You are converting between electrical energy (watt-hours) (Kilowatt Hours) and SI energy (joules) (Joules). All values are mapped through joules first. The numeric factor is 3.600000e+6.
Conversion tables
| Kilowatt Hour (kwh) | Joule (j) |
|---|---|
| 0.1 | 360,000 |
| 1 | 3,600,000 |
| 2 | 7,200,000 |
| 3 | 10,800,000 |
| 4 | 14,400,000 |
| 5 | 18,000,000 |
| 6 | 21,600,000 |
| 7 | 25,200,000 |
| 8 | 28,800,000 |
| 9 | 32,400,000 |
| Kilowatt Hour (kwh) | Joule (j) |
|---|---|
| 10 | 36,000,000 |
| 20 | 72,000,000 |
| 30 | 108,000,000 |
| 40 | 144,000,000 |
| 50 | 180,000,000 |
| 60 | 216,000,000 |
| 70 | 252,000,000 |
| 80 | 288,000,000 |
| 90 | 324,000,000 |
| 100 | 360,000,000 |