kWh to Wh Converter - Kilowatt-hour to Watt-hour

Conversion derivation

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

1. 1

   Rewrite kWh in the base unit

   $$1\mathrm{kWh}=3,600,000\mathrm{J}$$
2. 2

   Rewrite Wh in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kWh}& =\frac{3,600,000\cancel{\mathrm{J}}}{3,600\cancel{\mathrm{J}}}\times 1\mathrm{Wh}\\ & =\frac{3,600,000}{3,600}\mathrm{Wh}\\ & =1,000\mathrm{Wh}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{Wh}& =\frac{3,600\cancel{\mathrm{J}}}{3,600,000\cancel{\mathrm{J}}}\times 1\mathrm{kWh}\\ & =\frac{3,600}{3,600,000}\mathrm{kWh}\\ & =0.001\mathrm{kWh}\end{array}$$