erg a eV convertidor - Ergio a Electronvoltio

Conversion derivation

Express both erg and eV 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 eV in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{erg}& =\frac{1\times 10^{-7}\cancel{\mathrm{J}}}{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}\times 1\mathrm{eV}\\ & =\frac{1\times 10^{-7}}{1.60217663\times 10^{-19}}\mathrm{eV}\\ & =6.24150907\times 10^{11}\mathrm{eV}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{eV}& =\frac{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}{1\times 10^{-7}\cancel{\mathrm{J}}}\times 1\mathrm{erg}\\ & =\frac{1.60217663\times 10^{-19}}{1\times 10^{-7}}\mathrm{erg}\\ & =1.60217663\times 10^{-12}\mathrm{erg}\end{array}$$