How do generators produce alternating voltage, and how do transformers change voltage for efficient transmission?
Explain the operation of an AC generator and apply the transformer equation to step voltage up or down.
How a rotating coil produces alternating EMF in a generator, how transformers use mutual induction to change voltage, the turns-ratio equation, and the role in power transmission.
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What this dot point is asking
You need to explain how an AC generator produces alternating voltage and apply the transformer turns-ratio equation.
The AC generator
A generator is the reverse of a motor: instead of using a current to produce motion, it uses motion to produce a current.
A coil is rotated in a magnetic field. As it turns, the flux through it changes continuously (because the angle in changes). By Faraday's law this changing flux induces an EMF.
A generator uses slip rings (not a split-ring commutator), which keep the connection to each end of the coil fixed, allowing the output to alternate naturally.
The transformer
A transformer changes the size of an alternating voltage using mutual induction. Two coils - primary and secondary - are wound on a shared iron core.
- AC in the primary creates a continuously changing magnetic flux in the core.
- The core channels this flux through the secondary coil.
- The changing flux induces an alternating EMF in the secondary (Faraday's law).
If the secondary has more turns it is a step-up transformer (higher voltage, lower current); fewer turns makes a step-down transformer (lower voltage, higher current).
A transformer only works with AC. A steady DC current produces no changing flux, so no EMF is induced in the secondary.
Power transmission
Power lost in transmission lines is . To minimise this loss, power is sent at very high voltage and therefore low current (since ). Step-up transformers raise the voltage at the power station for transmission, and step-down transformers reduce it to safe levels for homes. This is the main reason the grid uses AC - it can be transformed; DC cannot be transformed simply.
Exam-style practice questions
Practice questions written in the style of SACE Board exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.
2023 SACE Stage 22 marksA charger for a laptop contains a transformer which converts 220 V to 11 V. The input coil has 3000 turns. Determine the number of turns in the output coil.Show worked answer →
Use the transformer equation, which relates voltages to turns: Vinput / Voutput = Ninput / Noutput.
Rearrange for the output turns: Noutput = Ninput x (Voutput / Vinput).
Substitute: Noutput = 3000 x (11 / 220) = 3000 x 0.0500 = 150 turns.
1 mark for the correct rearrangement, 1 mark for the answer of 150 turns. Because the voltage is stepped down, the output coil must have fewer turns than the input coil, which is a useful sanity check.
2024 SACE Stage 22 marksA transformer in a microwave oven converts 220 V to 2400 V. The output coil contains 720 conducting loops. Determine the number of conducting loops in the input coil of the transformer.Show worked answer →
Apply the transformer equation: Vinput / Voutput = Ninput / Noutput.
Rearrange for the input turns: Ninput = Noutput x (Vinput / Voutput).
Substitute: Ninput = 720 x (220 / 2400) = 720 x 0.09167 = 66 turns.
1 mark for the rearrangement, 1 mark for the value of about 66 turns. This is a step-up transformer (220 V to 2400 V), so the input coil has fewer turns than the output coil, which matches the answer.