Watt Hour to Gigajoule Converter
Energy · unit-converter
Convert Watt Hour to Gigajoule 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: Watt Hour (wh)
To: Gigajoule (gj)
About Watt Hour
One watt-hour is 3,600 J—the energy from 1 W for one hour. Common for small batteries and device ratings.
About Gigajoule
One gigajoule is 1,000,000,000 J. Utility-scale and fuel-system reporting commonly use GJ.
How to convert watt hours to gigajoules
1 watt hour is equal to 0.0000036 gigajoule when both are expressed in joule-equivalents:
1 wh = (3,600 J ÷ 1,000,000,000 J) gj = 0.0000036 gj
Each watt hour is defined as 3,600 J and each gigajoule as 1,000,000,000 J in this tool, so one wh equals 3,600 ÷ 1,000,000,000 gj = 0.0000036 gj.
Let d(wh) be the numeric amount in Watt Hour (wh), and d(gj) the amount in Gigajoule (gj). Then:
d(gj) = d(wh) × (3,600 / 1,000,000,000)
Equivalently, divide by how many wh fit into one gj (joules per gj divided by joules per wh):
d(gj) = d(wh) ÷ 277777.77777777775191
Or: gigajoule = watt hour ÷ 277777.77777777775191
Examples
Example #1: Convert 1 wh to gigajoule
1 wh = 1 wh × (3,600/1,000,000,000) gj = 0.0000036 gj
1 wh = 1 wh ÷ 277777.77777777775191 = 0.0000036 gj
Example #2: Convert 10 wh to gigajoule
10 wh = 10 wh × (3,600/1,000,000,000) gj = 0.000036 gj
10 wh = 10 wh ÷ 277777.77777777775191 = 0.000036 gj
Summary
To convert Watt Hour to Gigajoule, multiply the value in wh by the ratio of joules per wh divided by joules per gj. Equivalently: value_gj = value_wh × (3600 / 1000000000). Numerically, 1 wh equals 0.0000036 gj.
Relationship context
You are converting between electrical energy (watt-hours) (Watt Hours) and SI energy (joules) (Gigajoules). All values are mapped through joules first. The numeric factor is 3.600000e-6.
Conversion tables
| Watt Hour (wh) | Gigajoule (gj) |
|---|---|
| 0.1 | 0.00000036 |
| 1 | 0.0000036 |
| 2 | 0.0000072 |
| 3 | 0.0000108 |
| 4 | 0.0000144 |
| 5 | 0.000018 |
| 6 | 0.0000216 |
| 7 | 0.0000252 |
| 8 | 0.0000288 |
| 9 | 0.0000324 |
| Watt Hour (wh) | Gigajoule (gj) |
|---|---|
| 10 | 0.000036 |
| 20 | 0.000072 |
| 30 | 0.000108 |
| 40 | 0.000144 |
| 50 | 0.00018 |
| 60 | 0.000216 |
| 70 | 0.000252 |
| 80 | 0.000288 |
| 90 | 0.000324 |
| 100 | 0.00036 |