Mains electricity, power and the National Grid

Physics · Electricity. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

A cell gives a direct potential difference: it always pushes charge the same way. Mains electricity is alternating: the p.d. keeps changing direction. UK mains is ac with a frequency of 50 Hz and a p.d. of about 230 V.

Most appliances use a three-core cable. The live wire carries the alternating p.d. from the supply. The neutral wire completes the circuit. The earth wire is a safety wire and carries current only if there is a fault.

The National Grid is the system of cables and transformers that links power stations to consumers. It transmits electricity at a very high p.d. so that the current is small and less energy is wasted heating the cables.

Rules to remember

Common mistake

In E = Pt students leave the power in kW and the time in minutes. Change to watts and seconds first: 2.0 kW = 2000 W and 30 minutes = 1800 s.

Worked example

A toaster has a power of 1150 W and is connected to the 230 V mains. What is the current in it, and how much energy does it transfer in 2 minutes?

  1. Rearrange P = VI: I = P ÷ V = 1150 ÷ 230 = 5.0 A.
  2. Change the time to seconds: 2 minutes = 120 s.
  3. E = P × t = 1150 × 120 = 138 000 J.

Answer: Current = 5.0 A and energy = 138 000 J (138 kJ)

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