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Part 06 · Electric circuits · Card 7 of 8

Electrical power

The rate at which energy is transferred by a circuit. Power = potential difference x current (P = VI), or P = I squared x R. It is measured in watts (W).

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Analogy

A bigger push (voltage) and a bigger flow (current) both mean more energy delivered each second.

Example

Bulb

V = 12 V, I = 2 AP = V x I = 12 x 2P = 24 WIn 10 s: E = 24 x 10 = 240 J

In practice

A 230 V hairdryer drawing 5 A has a power of 1,150 W. Using it for an hour transfers a lot more energy than an LED bulb.

Practice

Flashcards

  • How do you calculate electrical power?Power = potential difference x current.

Interview questions

  • A 230 V kettle draws a current of 8 A. Calculate its power and its resistance.
    • Power = V x I = 230 x 8 = 1,840 W
    • Resistance = V / I
    • R = 230 / 8 = 28.75 ohms

Questions people ask

How do I calculate the energy used by an appliance?

Multiply its power by the time it is on. Energy (J) = power (W) x time (s). A 2,000 W heater running for 60 seconds transfers 120,000 J. Electricity bills use kilowatt-hours instead: a 2 kW heater running for 3 hours uses 6 kWh.

Why do power cables carry electricity at high voltage?

For a given power, a higher voltage means a smaller current, since P = VI. A smaller current causes less heating in the cables, because heat wasted depends on current squared times resistance. Using high voltage over long distances therefore wastes much less energy.