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Grade 12 Science · Unit 3: Mains electricity and electromagnetism

Mains electricity and power

Explain mains wiring, safety features and calculate electrical power and energy.

Mains electricity in the UK is an alternating current (a.c.) at 230 V and 50 Hz; in the USA it is about 120 V and 60 Hz. Batteries supply direct current (d.c.), which flows one way. A three-core cable has a live wire (brown) at 230 V, a neutral wire (blue) near 0 V, and an earth wire (green and yellow) that carries current to the ground if there is a fault. Touching the live wire is dangerous because a large potential difference is set up across your body.

Power is P = V × I, or P = I² × R. Energy transferred is E = P × t, or E = Q × V. The National Grid uses step-up transformers to raise the voltage for transmission, which lowers the current and so reduces heating losses in the cables; step-down transformers lower the voltage for homes.

Worked example

A 230 V hairdryer draws 5 A. What is its power?

  1. P = V × I.
  2. P = 230 × 5.

Answer:P = 1150 W.

Key words

alternating current
current that keeps reversing direction
live wire
brown wire at 230 V
earth wire
safety wire that carries fault current to ground
National Grid
network of cables and transformers
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New questions every time.

NGSS-referenced: HS-PS3-3