Example 1: a transformer
A transformer steps 11 kV down to 230 V. The secondary has 46 turns. How many turns are on the primary?
- Np ÷ Ns = Vp ÷ Vs.
- Np = 46 × 11 000 ÷ 230.
- Np = 2200 turns.
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Almost all the electricity you use was made by spinning a magnet near a coil of wire, then sent hundreds of kilometres at half a million volts before arriving at your socket at 230 V. Electromagnetic induction and transformers make the modern grid possible.
Recommended for MYP 5 · eAssessment priority · About 3 lessons · Criteria A, B, C and D
By the end of this topic you should be able to:
You will use these skills. If any feel shaky, review them first.
When the magnetic field through a coil changes, a voltage is induced. Moving a magnet faster, using a stronger magnet or adding more turns increases the voltage. A generator rotates a coil and magnet relative to each other, producing alternating current.
In most power stations, a turbine driven by steam, water or wind turns the generator. Transformers then change the voltage: Vs ÷ Vp = Ns ÷ Np. Transmitting at very high voltage makes the current small, and since the heating loss in cables is I²R, the energy wasted falls enormously.
Michael Faraday discovered electromagnetic induction in 1831. Today engineers measure grid voltages, currents and losses continuously, and in the laboratory you can measure induced voltages with a data logger.
Reliable electricity underpins homes, hospitals, industry and communications. Grid losses, from heating and theft, are a major cost in many countries, and new grids must connect solar and wind farms that may be far from cities.
This topic links to magnetism and energy in physics, to energy resources and sustainability in Earth science, and to costs and planning in economics.
Pakistan's grid links hydro stations on the Indus, thermal and nuclear stations, and growing solar and wind farms, using 500 kV and 220 kV lines. Bicycle dynamos, wireless chargers and electric-car regenerative braking all use induction.
A transformer steps 11 kV down to 230 V. The secondary has 46 turns. How many turns are on the primary?
A power station sends 50 MW at 250 kV. Find the current.
Generating electricity questions combine explanations of devices with calculations. Expect:
Common ways to lose marks: saying transformers work with d.c.; saying high voltage makes electricity travel faster; forgetting to square the current in I²R; and mixing up the motor effect and induction.
Quick questions on the ideas above. Try each one before using a hint.
Partially guided investigation · about 45 minutes · pairs
Safety. Use only low-voltage a.c. from the laboratory supply, never mains. Coils can get warm; switch off between readings, and do not leave the circuit on unattended.
Then evaluate: why were your measured voltages lower than predicted, and what could make your transformer more efficient?
Harder problems in unfamiliar contexts. Plan before you calculate.
Five questions picked at random from the whole topic. Take a new set whenever you like.
Questions you got wrong on this device appear here so you can try them again. Answer one correctly and it leaves the list.
Tracked separately for each skill, on this device only.
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