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6.3.2Generating and Distributing Electricity and Household Use

Energy and Power in Appliances — Oxford AQA International GCSE Combined Science - Physics Revision Notes & Topical Questions

5 min read 7 parts Lesson 7 of 8

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Part 1 of 5What power means

Rate of energy transfer
  • Rate of energy transfer Power is the rate at which energy is transferred, or the rate at which work is done.
  • A high-power device transfers a given amount of energy in a shorter time.
The watt
  • The watt Power is measured in watts (W). One watt is one joule per second (1 W = 1 J/s).
Same energy, different power
  • Same energy, different power Two motors that lift the same weight through the same height transfer the same energy,
    • but the more powerful motor does it faster.

Part 2 of 5Equations for power

EquationSymbols and units
P = E ÷ tP power in watts (W); E energy transferred in joules (J); t time in seconds (s)
P = W ÷ tW work done in joules (J), which equals the energy transferred
P = I × VI current in amperes (A); V potential difference in volts (V)
P = I2 × RCombines P = I × V with V = I × R; R in ohms (Ω)

Part 3 of 5Using P = E ÷ t

1
Write down the known quantities and check their units. Energy must be in joules and time in seconds.
2
Choose the equation P = E ÷ t.
3
Substitute the values. For example a kettle transfers 360 000 J in 150 s, so P = 360 000 ÷ 150.
4
Calculate the answer: P = 2400 W, which is 2.4 kW.
5
Give the unit with the answer, and rearrange if needed, for example E = P × t.

Part 4 of 5Power from current and p.d.

1Potential difference
  • Potential difference The p.d. across a device tells you how much energy is transferred to it for each coulomb of charge.
2Current
  • Current The current tells you how many coulombs pass each second.
3Multiply
  • Multiply Energy per coulomb × coulombs per second gives energy per second, so P = I × V.
4Example
  • Example A 230 V heater with a current of 5.0 A has a power of 230 × 5.0 = 1150 W.

Part 5 of 5Typical power ratings

DeviceApproximate power
Torch1 W
Light bulb10 to 100 W
Electric cooker10 000 W (10 kW)
Railway engine1 000 000 W (1 MW)
Large power station10 000 MW

Key terms

TermMeaning
PowerThe rate at which energy is transferred or work is done.
Watt (W)The unit of power; one joule transferred each second.
Joule (J)The unit of energy and of work done.
Power ratingThe power an appliance transfers when working normally, shown on its label.
Kilowatt (kW)1000 watts.

Avoid these mistakes

1
Using minutes or hours in P = E ÷ t. Convert to seconds when using joules and watts.
2
Thinking a higher power rating means more energy in total. Total energy depends on the power and the length of time.
3
Writing the unit of power as J instead of W (or J/s).
4
Forgetting to convert kilowatts and megawatts to watts: 1 kW = 1000 W and 1 MW = 1 000 000 W.
5
Confusing P = I × V with V = I × R. Both are needed but they calculate different quantities.

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