A long pair of cables carries electrical power to a tunnel-boring machine several kilometres from the supply. At the supply end, an ideal transformer has 240 turns on its primary coil, which is connected to a 15 kV15\ \mathrm{kV}15 kV alternating supply. The transformer sends 6.0 MW6.0\ \mathrm{MW}6.0 MW into the cables, which have a total resistance of 4.0 Ω.
The power dissipated by heating in the cables is 40 kW.
How many turns are there on the secondary coil of the transformer?
240240240 turns
960960960 turns
384038403840 turns
606060 turns
108 exam-style questions on Edexcel GCSE Physics 13.2 Transformers and the National Grid, covering 13.2.1 Transformers and induction, 13.2.2 The transformer turns-ratio equation, 13.2.3 The National Grid, 13.2.4 The transformer power equation, and 13.2.5 Advantages of high-voltage transmission. Each one has a worked solution and a mark scheme showing where the marks go.