Electricity2020-12-31T18:45:53+10:00

Timetable Forums Standard Energy & Mass Electricity

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    Electricity

    1 KW = 1ooo watts

    KWH = KW used in an hour

    1 joule/second = 1 watt

    1 J/s = 1 W

    1 kWh = 3.6 MJ

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    A 2400-watt heater is run for 6 hours each day. If electricity is charged at 26.3 c/kWh, what is the cost of running the heater for 8 days, to the nearest cent?

    Find the watts per day: 2400 × 6 = 14 400watts

    Find the watts for 8 days 14 400 × 8 = 115 200

    Change to kW by dividing by 1000 (remember kilo = 1000)

    115 200 ÷ 1000 = 115.2 kWh

    Find the cost 115.2 × 26.3 = 3029.76 cents

    divide by 100 to change from cents to dollars

    3029.76 ÷ 100
    = $30.30 (rounded to the nearest cent)

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    Energy is used at the rate of 25 joules per second. How many watts of power are used?

    Watts = 25 × 1

    = 25 W

    since 1 joule per second equals 1 Watt, then 25 joules per second will equal 25 watts
    this just means we multiply by 1 to get the answer
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    If 5 75W light bulbs are running on average for 6 hours each day, and power costs 23.6 cents per kWh, what would be the cost of keeping these lights on for a week?

    5 × 75 × 6 × 7

    = 15,750 Wh

    there are 5 lights, using 75 watts for 6 hours a day for 7 days in the week
    multiply to get the total amount of watt hours used
    15,750 ÷ 1000
    = 15.75kWh
    convert to kilowatt hours by dividing by 1000
    cost = 15.75 × 23.6
    = 371.7c
    now we can find the cost by multiplying the number of kWh and the cost per kWh
    371.7c ÷ 100
    = $3.18
    convert to dollars by dividing by 100 ($1 = 100c)
    round to the nearest cent
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