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MasterMath

KWh to Joules Converter

Type the amount and the conversion appears straight away, both ways. Electricity bills are in kilowatt hours and physics is in joules, and the gap between them confuses almost everyone at first.

The two fields are linked: type in either one and the other updates.

Result

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How this was worked out

    The exact equivalent

    A kilowatt hour is exactly 3,600,000 joules. It is 1,000 watts sustained for 3,600 seconds, and a watt is a joule per second.

    1 kWh = 3,600,000 J
    1 J = 0.00000028 kWh

    How to convert it by hand

    Just multiply by the conversion factor. To go from kilowatt hours to joules, multiply by 3,600,000; to come back, divide by that same number or multiply by 0.

    For example: 25 kWh × 3,600,000 = 90,000,000 J.

    A tip that saves mistakes: check the result goes the way you expect. If joules are a smaller unit than kilowatt hours, the number has to come out bigger. If it comes out smaller, you divided when you should have multiplied.

    Conversion table

    kWhJ
    13,600,000
    27,200,000
    518,000,000
    1036,000,000
    2072,000,000
    50180,000,000
    100360,000,000

    Reference points to picture it

    ReferenceEquals
    1 kWh3.6 MJ
    A day of household use10 kWh = 36 MJ
    An electric car battery60 kWh = 216 MJ
    A 60 W bulb for an hour0.06 kWh = 216 kJ

    The trick for doing it in your head

    Multiply by 3.6 million. For 2 kWh: 7.2 million joules, or 7.2 megajoules.

    It is fine for getting by without a phone, but not for anything that depends on precision: in a recipe, on a building site or in a dose, use the exact conversion.

    Frequently asked questions

    How many joules is a kilowatt hour?

    3,600,000 J, or 3.6 megajoules. It comes from 1,000 W × 3,600 s.

    What is the difference between a kilowatt and a kilowatt hour?

    A kilowatt is a rate of using energy; a kilowatt hour is an amount of energy. A 2 kW heater running for 30 minutes uses 1 kWh.

    Why do bills use kWh instead of joules?

    Because a joule is tiny at household scale. A month of electricity would be hundreds of millions of joules.

    How many joules in a calorie?

    4.184 J for the scientific calorie, and 4,184 J for the food Calorie, which is really a kilocalorie.