Transformers and the National Grid

✏️ Paper first! Work out every question on paper before you tap Show solution. Write down every step – the equation, the numbers with units, the rearranging and the answer with its unit. In the exam, if your final answer is wrong you can still get marks for correct working, but only if the examiner can see it.

Course: National Grid C+S; how transformers work S only  |  Tier: Foundation + Higher (transformer equations HT)  |  Linked equations: Vp/Vs = np/ns, VpIp = VsIs  |  Lesson: Keep the Country Running

Notes

The National Grid (C+S)

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  • The National Grid is a system of cables and transformers linking power stations to consumers.
  • Step-up transformers increase the potential difference from the power station to the transmission cables.
  • Step-down transformers decrease the potential difference to a safer level for homes (about 230 V).
  • Transmitting at a high p.d. means a low current for the same power. A lower current means less heating of the cables, so less energy is wasted and the system is more efficient.

How a transformer works (S only, HT)

✏️ Copy into your book (S only, HT)

  • A transformer has a primary coil and a secondary coil wound on an iron core. Iron is used because it is easily magnetised.
  • An alternating p.d. across the primary coil causes an alternating current, which produces a changing magnetic field in the iron core.
  • This changing field induces an alternating p.d. across the secondary coil.
  • Step-up: more turns on the secondary coil. Step-down: fewer turns on the secondary coil.
  • A transformer only works with a.c., because a d.c. would not produce a changing magnetic field.

Questions

Q1 (F) What is the National Grid?

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A system of cables and transformers that links power stations to consumers.

Q2 (F) What does a step-up transformer do?

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It increases the potential difference.

Q3 (F/H) Explain why electricity is transmitted across the country at a very high potential difference.

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A high p.d. means a low current for the same power. A lower current causes less heating in the cables, so less energy is wasted and the transmission is more efficient.

Q4 (F/H) Why is a step-down transformer needed before electricity reaches homes?

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The transmission p.d. is far too high to be safe in homes. The step-down transformer reduces it to about 230 V.

Q5 (S only, HT) Explain how a transformer produces a p.d. across its secondary coil.

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An alternating current in the primary coil produces a changing magnetic field in the iron core. This changing field passes through the secondary coil and induces an alternating p.d. across it.

Q6 (S only, HT) A transformer has 2000 turns on its primary coil and 100 turns on its secondary coil. The primary p.d. is 230 V. Calculate the secondary p.d.

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F: Vp ÷ Vs = np ÷ ns
I: 230 ÷ Vs = 2000 ÷ 100
F: Vs = 230 ÷ 20
A: 11.5 V

Q7 (S only, HT) A power station supplies 40 A at 25 000 V to a step-up transformer. The output p.d. is 400 000 V. Assuming the transformer is 100% efficient, calculate the output current.

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F: Vp × Ip = Vs × Is
I: 25 000 × 40 = 400 000 × Is
F: Is = 1 000 000 ÷ 400 000
A: 2.5 A

Q8 (S only, HT) Why won’t a transformer work with a d.c. supply?

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A direct current produces a constant magnetic field, not a changing one, so no p.d. is induced in the secondary coil.