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IGCSE · Cambridge (CIE) · 0654

Explain a rotating coil alternating-current generator

Describe mechanical rotation changing the field linking a coil and producing alternating e.m.f. under a fixed terminal convention.

The a.c. generator · Cambridge IGCSE 0654 · P4.5.2

Mapped to the named 0654 section using teaching from the corresponding single-science course. A 0654-specific review of every Core and Supplement objective is still in progress. Written practice is self-checked; it does not demonstrate supervised laboratory competence or award an official Cambridge grade.

Before you begin

  • Explain electromagnetic induction.
  • Distinguish open output e.m.f. from current in a closed load.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

Which changing condition can induce e.m.f. in a rotating coil?

What you will learn

  • Describe mechanical rotation changing the field linking a coil and producing alternating e.m.f. under a fixed terminal convention.
  • Explain a.c. generation through changing coil linking and mechanical input under a specified terminal and pole convention.
Original functional model connects externally maintained coil rotation, changing magnetic-field linking and alternating terminal e.m.f. A uniform field and constant speed give the simple sinusoidal model; open-output voltage does not imply load current.A rotating-coil generatorMechanical inputMaintains coil rotationNSChanging field linkingAlternating e.m.f.Closed load: alternating current
Original functional model connects externally maintained coil rotation, changing magnetic-field linking and alternating terminal e.m.f. A uniform field and constant speed give the simple sinusoidal model; open-output voltage does not imply load current.

Changing linking during a complete rotation

A simple rotating-coil a.c. generator has a coil turning between magnetic poles. The magnetic field goes from north toward south in the gap. As the coil changes orientation, the magnetic field linking its turns changes, inducing an e.m.f. An external mechanical input maintains rotation; the magnet’s presence is not an unlimited energy source.

After half a turn, the sides move across the field in the opposite senses from their positions half a turn earlier. Under unchanged terminal labels, the induced e.m.f. reverses. With a closed load it drives alternating current; an open output can have alternating e.m.f. without sustained external current.

State what the simple model assumes

For a uniform field and constant rotation speed, a simple coil gives an approximately sinusoidal e.m.f. graph. Field shape, geometry and speed variation can change the actual waveform. One mechanical revolution gives one electrical cycle in the simple two-pole arrangement; machines with more pole pairs require a different relationship.

A rotating coil needs suitable sliding electrical connections if it feeds a stationary load continuously. Two separate slip rings and stationary brushes provide this connection without swapping the output terminals every half-turn. Their role is developed in the next lesson; they do not create the induced voltage.

Sources for this lesson

Pause and explain

A simple generator output is open. Can it still have alternating e.m.f.?

Put the idea to work

Worked example

Explain why the output of a simple two-pole rotating-coil generator reverses after half a revolution.

Show the worked solution
  1. The coil changes orientation during rotation.
  2. Each active side’s cross-field movement reverses relative to half a turn earlier.
  3. With the same output terminals, the induced e.m.f. changes sign.

Answer Half-turn reversal of the cross-field movement reverses the terminal e.m.f.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Describe the field, moving part and external input of a rotating-coil generator.

Give me a hint

Separate magnetic geometry from the energy input.

Compare my reasoning
  1. A coil turns between magnetic poles.
  2. Its field linking changes during rotation.
  3. An external agent supplies mechanical work.

Mechanical rotation changes coil linking and induces e.m.f.

Look for these in your work

  • Name the changing condition.
  • Name the energy input.
2 · Independent

Explain why a half-turn reverses the output under fixed terminal labels.

Give me a hint

Compare each coil side with its earlier cross-field movement.

Compare my reasoning
  1. A half-turn changes the side positions.
  2. Their movement across the field reverses relative to the earlier state.
  3. The induced e.m.f. changes sign.

The fixed-terminal output alternates as the coil rotates.

Look for these in your work

  • Retain terminal labels.
  • Connect sign change to the motion.
3 · Transfer

A claim says any generator makes one electrical cycle per revolution and must have external current even with open terminals. Correct both parts.

Give me a hint

Identify the model boundary and the output path.

Compare my reasoning
  1. One cycle per revolution is for the simple two-pole arrangement.
  2. Other pole-pair counts change that relationship.
  3. Open terminals can have e.m.f. without sustained load current.

The cycle claim needs the specified two-pole model; an open output need not carry sustained load current.

Look for these in your work

  • State both limits.
  • Keep voltage separate from current.

Common mistakes

  • State the fixed terminal convention.
  • Voltage and load current are separate claims.
  • One cycle per revolution belongs to the stated two-pole model.
Recall without your notes

What can you explain now?

What supplies delivered energy in the maintained generator model?

Compare with the explanation

Mechanical input

External work maintains rotation while energy is transferred electrically to a connected load.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Explain a.c. generation through changing coil linking and mechanical input under a specified terminal and pole convention.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Sciences — Co-ordinated (Double)

Course scope and assessment

This 2028–2029 pathway maps all 152 detailed subject-content sections in the published 0654 syllabus to original teaching and staged practice. It adapts teaching from the related single-science pathways and excludes clear 0610-only topics such as classification systems, human excretion, tropic responses, food supply, population dynamics, detailed pollution and biotechnology. Some explanations may include wider single-science context. A 0654-specific objective-by-objective review, Core/Supplement audit, human subject-teacher review, supervised laboratory experience and cumulative assessment remain in progress. Written practice is self-checked and does not predict an official grade. The 2025–2027 syllabus has not been reconciled here; choose the 2028–2029 syllabus only.

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