erg vers kWh convertisseur - Erg vers Kilowatt-heure

Conversion derivation

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

1. 1

   Rewrite erg in the base unit

   $$1\mathrm{erg}=1\times 10^{-7}\mathrm{J}$$
2. 2

   Rewrite kWh in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{erg}& =\frac{1\times 10^{-7}\cancel{\mathrm{J}}}{3,600,000\cancel{\mathrm{J}}}\times 1\mathrm{kWh}\\ & =\frac{1\times 10^{-7}}{3,600,000}\mathrm{kWh}\\ & =2.77777778\times 10^{-14}\mathrm{kWh}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{kWh}& =\frac{3,600,000\cancel{\mathrm{J}}}{1\times 10^{-7}\cancel{\mathrm{J}}}\times 1\mathrm{erg}\\ & =\frac{3,600,000}{1\times 10^{-7}}\mathrm{erg}\\ & =3.6\times 10^{13}\mathrm{erg}\end{array}$$