Unit Conversions
Basic

kWh to Joules

Convert kilowatt-hours to joules.

Formula

J=kWh×3.6×106\text{J} = \text{kWh} \times 3.6\times10^6

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Example

1 kWh × 3.6×10⁶ = 3 600 000 J.

How it works

A kilowatt-hour measures energy, not power: it is the energy used when a device drawing 1 kilowatt runs for 1 hour. The conversion works because 1 watt equals 1 joule per second, so 1 kilowatt-hour = 1000 joules/second × 3600 seconds = 3.6 × 10^6 joules. Multiplying by 3.6 million turns the electricity-billing unit into the SI energy unit.

When to use it

Use this when you need to convert electricity usage from a bill or appliance rating into joules for physics calculations. It is common in energy, power, and efficiency problems.

Worked example, step by step

Convert 0.75 kWh to joules J = kWh × 3.6×10^6 J = 0.75 × 3.6×10^6 J = 2.7×10^6 J J = 2,700,000 J

Common mistakes to avoid

  • Using 3.6×10^3 instead of 3.6×10^6
  • Confusing kilowatt-hours with kilowatts
  • Forgetting that the result is an energy value in joules

Did You Know?

One kilowatt-hour — the unit on your electric bill — equals 3.6 million joules.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026