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TwiddleLab / Physics / Circuits You Can Build

Power and Your Bill

Lesson 7 of 10 · 7 min · Free, no account needed

What you will learn

  • Electric power is how fast energy is moved: P = V × I, in watts.
  • Energy = power × time. Bills count it in kilowatt-hours: 1 kWh is 1000 W for 1 hour.
  • Big heaters (kettles, showers, dryers) use the most. Small things left on all the time add up slowly.

Start the lesson

How the lesson goes

  1. What costs more over a year: a charger left plugged in, or one hot shower?

    One 10-minute electric shower uses about 1.5 kWh. Drag the marker to your guess for a whole year of an idle charger.

  2. Set the heater so the wattmeter shows exactly 24 W.

    Watch V, I and P = V × I as you turn the dial.

    Voltage is joules per coulomb, current is coulombs per second, so V × I is joules per second: watts. 12 × 2 = 24 W.

  3. A 2000 W kettle runs for an hour of fast time. Watch the meter.

  4. Watts and kilowatt-hours.

    Electric power is energy per second: P = V × I, in watts (W). 1000 W = 1 kW.

    Energy = power × time. Bills use the kilowatt-hour: 1 kWh = 1 kW for 1 hour (3.6 million joules).

    A 2 kW kettle for 3 minutes (0.05 h) uses 2 × 0.05 = 0.1 kWh.

  5. Put each device on the power scale.

  6. Game: Energy budget. Live one day in this home on 5 kWh or less.

    Pick one option in every row.

  7. Code: build a loop that adds up a day's energy. Tap the lines in order.

    Each device: watts × hours. Then divide by 1000 for kWh.

  8. A 2000 W kettle runs for 3 minutes. How many kWh is that?

    Energy = power × time = 2 kW × 0.05 h = 0.1 kWh.

  9. Your day against a neighbour who never switches anything off.

Previous lesson: Parallel: Many Paths · Next lesson: Short Circuits, Fuses and Safety · Part of the course: Circuits You Can Build

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