Skip to content

Joule vs watt-hour

Both measure energy. 1 Wh = 3600 J exactly, so 1 kWh = 3.6 MJ — a pure, exact identity.

The joule and the watt-hour both measure energy — they are the same physical quantity in two different units. Converting between them is one of the cleanest, most exact conversions the tool performs.

The exact identity

A watt is one joule per second. An hour is exactly 3600 seconds. So a watt-hour — one watt sustained for one hour — is exactly:

  • 1 Wh = 3600 J
  • 1 kWh = 3.6 MJ

Follow the chain: 1 kWh = 1000 Wh = 1000 × 3600 J = 3,600,000 J = 3.6 MJ. Every step multiplies by a defined integer, so there is no rounding and no measurement anywhere.

Why this is exact, not approximate

This identity is exact because it follows entirely from definitions. The second is an SI base unit, the joule is defined from SI base units, the watt is one joule per second by definition, and the hour is exactly 3600 seconds by definition. Nothing here is measured or blended, so nothing varies. The tool labels this kind of result exact and shows it to full precision (capped only by the display setting), with no ~ marker — adding a tilde would imply a false doubt that does not exist.

Contrast that with a fuel question. "How much energy is in a cubic metre of natural gas?" also produces a number in joules or kilowatt-hours, but that number depends on the gas composition and is a sourced estimate, not an exact identity. The arithmetic joule↔watt-hour is exact; the content of a physical fuel is not.

Practical consequences

Because the factor is exact, you can round-trip freely: convert kWh to joules to megajoules and back with no drift. This is also why an electricity meter reading in kWh maps cleanly onto scientific energy units — the units differ, the energy does not. Just remember that a kilowatt-hour is energy, while a kilowatt is power; if you find yourself trying to convert a plain kilowatt into a kilowatt-hour, see kW vs kWh, because that step needs a duration and is not a unit conversion at all.

Converting
1 kWh

Conversion results

Energy

Same energy expressed in other units.

1 kWh
exact
3,600,000 J
exact
3,600 kJ
exact
3.6 MJ
exact
0.0036 GJ
exact
0.001 MWh
exact
~3,412.14 BTU

Fuel equivalents

Convention-defined energy-equivalence units (toe, boe, tce).

~0.0000859845 toe
~0.0005883 boe
~0.000122835 tce

Industrial units

therm, MMBTU, quad.

~0.0341214 therm
~0.00341214 MMBTU
~0.00000000000341214 quad

Sources

Follow each source back to its primary document — that traceability is the point. How conversions work →

Sources