Wh vers eV convertisseur - Watt-heure vers Électron-Volt

Conversion derivation

Express both Wh and eV 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 eV in the base unit

   $$1\mathrm{eV}=1.60217663\times 10^{-19}\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{Wh}& =\frac{3,600\cancel{\mathrm{J}}}{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}\times 1\mathrm{eV}\\ & =\frac{3,600}{1.60217663\times 10^{-19}}\mathrm{eV}\\ & =2.24694327\times 10^{22}\mathrm{eV}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{eV}& =\frac{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}{3,600\cancel{\mathrm{J}}}\times 1\mathrm{Wh}\\ & =\frac{1.60217663\times 10^{-19}}{3,600}\mathrm{Wh}\\ & =4.45049065\times 10^{-23}\mathrm{Wh}\end{array}$$