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5 November, 13:42

The national grid supplied a house with 18000000 J of energy in 1 hour. What was the average current supplied to the house in that hour? Write any equations that you use.

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  1. 5 November, 14:10
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    Electrical power = (voltage) x (current)

    Electrical energy = (power) x (time)

    Combine those definitions:

    Energy = (voltage) x (current) x (time)

    Divide each side by (voltage x time), and we have

    Current = Energy / (voltage x time)

    You told us that

    Energy = 1.8 x 10⁷ joules

    Time = 1 hour = 3,600 seconds

    so we have

    Current = (1.8 x 10⁷) / (voltage x 3,600).

    If you live in the US, Canada, or Mexico, your voltage is 120 volts.

    Current = (1.8 x 10⁷) / (120 x 3,600) = 41-2/3 Amperes

    If you live practically anywhere else in the world, your voltage is 240 volts.

    Current = (1.8 x 10⁷) / (240 x 3,600) = 20-5/6 Amperes.
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