erg to J Converter - Erg to Joule

Conversion derivation

Express both erg and J 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 J in the base unit

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

   Forward conversion

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

   Reverse conversion

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