Wh vers J convertisseur - Watt-heure vers Joule

Conversion derivation

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

1. 1

   Rewrite Wh in the base unit

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

   Rewrite J in the base unit

   $$1\mathrm{J}=1\mathrm{J}$$
3. 3

   Forward conversion

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

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{J}& =\frac{1\cancel{\mathrm{J}}}{3,600\cancel{\mathrm{J}}}\times 1\mathrm{Wh}\\ & =\frac{1}{3,600}\mathrm{Wh}\\ & =0.000277777778\mathrm{Wh}\end{array}$$