kWh vers MJ convertisseur - Kilowatt-heure vers Megajoule

Conversion derivation

Express both kWh and MJ in the same base unit J (joule), then cancel the shared base unit.

1. 1

   Rewrite kWh in the base unit

   $$1\mathrm{kWh}=3,600,000\mathrm{J}$$
2. 2

   Rewrite MJ in the base unit

   $$1\mathrm{MJ}=1,000,000\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kWh}& =\frac{3,600,000\cancel{\mathrm{J}}}{1,000,000\cancel{\mathrm{J}}}\times 1\mathrm{MJ}\\ & =\frac{3,600,000}{1,000,000}\mathrm{MJ}\\ & =3.6\mathrm{MJ}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{MJ}& =\frac{1,000,000\cancel{\mathrm{J}}}{3,600,000\cancel{\mathrm{J}}}\times 1\mathrm{kWh}\\ & =\frac{1,000,000}{3,600,000}\mathrm{kWh}\\ & =0.277777777778\mathrm{kWh}\end{array}$$