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Eduqas GCSE Physics (C420P) · Topic 8 — Magnetism and electromagnetism
Mini-Lesson

Magnetism & Electromagnetism

This mini-lesson walks you through the whole of Eduqas Topic 8: permanent & induced magnets and their fields, the magnetic effect of a current, the motor effect (F = BIL) and the d.c. motor, induced potential, the alternator and transformers, the National Grid, and how loudspeakers and microphones use these ideas.

current in a wire makes a field field + current makes a force electromagnetism the motor & generator effects

Work through each screen, answer the questions as you go (some are wordy, some are calculations) and collect ⭐ stars. Higher-tier-only ideas are flagged with a pink badge. Press Start when you're ready.

Permanent & induced magnetism

Two kinds of magnet

Every magnet has a north and a south pole, and exerts a non-contact force on other magnetic materials. The rule for poles:

  • Like poles repel (N–N or S–S push apart).
  • Opposite poles attract (N–S pull together).

The two kinds you must distinguish:

  • A permanent magnet is always magnetic and always has its own poles (e.g. a steel bar magnet).
  • An induced magnet is a magnetic material that becomes a magnet only while it sits in a magnetic field. Its domains line up in the field; remove the field and a soft material loses most of its magnetism. Iron, nickel and cobalt are the common magnetic materials.

Key fact: an induced magnet always attracts the magnet inducing it — induction never produces repulsion. That is the test that tells a magnet apart from an unmagnetised lump of iron.

Quick check

Permanent or induced?

?A steel paperclip is held under a strong magnet and becomes magnetic, but loses almost all its magnetism the moment the magnet is taken away. The paperclip is acting as a…
Magnetic fields

The field around a bar magnet

A magnetic field is the region where a magnetic force acts. We draw it with field lines. The crucial rule:

Outside the magnet, field lines run from North to South.

N S Lines are closest together at the poles — that is where the field is strongest.
Field lines always carry an arrow N → S outside the magnet. The denser the lines, the stronger the field — so the field is strongest at the poles.

You can reveal the pattern with iron filings (they line up along the lines) or trace the direction at each point with a small plotting compass. Where field lines are evenly spaced and parallel, the field is uniform.

Watch out: a very common error is drawing the arrows pointing S → N or with no arrows at all. Outside the magnet the direction is always N → S.

Quick check

Reading a field

?On a correctly drawn field diagram for a bar magnet, in which direction do the arrows point along the lines outside the magnet, and where are the lines closest together?
Magnetic effect of a current

A current makes a magnetic field

When a current flows through a wire it creates a magnetic field of concentric circles around the wire. Reverse the current and the field reverses; increase the current (or move closer) and the field gets stronger.

current OUT of page ⊙ field anticlockwise current INTO page ⊗ field clockwise
The dot ⊙ means current coming out of the page (field anticlockwise); the cross ⊗ means current going into the page (field clockwise). Reversing the current reverses the field.

Wind the wire into a coil (a solenoid) and the circular fields add together to give a strong, almost uniform field inside — just like a bar magnet, with a N pole at one end and a S pole at the other.

N S Outside the solenoid the field runs N → S, exactly like a bar magnet.
A solenoid behaves like a bar magnet. Add an iron core and switch the current on and off and you have an electromagnet.

An electromagnet (a solenoid with a soft-iron core) can be switched on and off and its strength varied — used in scrapyard cranes, relays, electric bells and circuit breakers.

Quick check

Which field shape?

?What is the shape of the magnetic field produced around a single straight wire carrying a current?
The motor effect

Force on a current in a field

Put a current-carrying wire across a magnetic field and the two fields interact, pushing the wire. This is the motor effect. The size of the force is:

F = B I Lforce (N) = magnetic flux density (T) × current (A) × length of wire in field (m)

The force is biggest when the wire is at 90° to the field, and zero when the wire lies along (parallel to) the field. Reverse either the current or the field and the force flips direction.

Watch out: if the wire runs parallel to the field there is no force at all — the two fields do not cut across each other. Maximum force needs the wire perpendicular to the field.

Worked example

A wire of length 0.20 m sits at 90° in a field of flux density 0.50 T and carries a current of 3.0 A.

F = B I L = 0.50 × 3.0 × 0.20 = 0.30 N

Calculate

Your turn — the motor effect

1A wire of length 0.40 m carries a current of 5.0 A at right angles to a magnetic field of flux density 0.30 T. Calculate the force on the wire.
N
Hint: F = B I L = 0.30 × 5.0 × 0.40.
Fleming's left-hand rule

Finding the direction of the force

To find which way the wire is pushed, use Fleming's left-hand rule. Hold the thumb and first two fingers of your left hand at right angles to each other:

  • ThuMbMotion (the force / push on the wire)
  • First finger → Field (points from N → S)
  • seCond finger → Current (conventional current, + to −)
Thumb = Force / Motion First finger = Field (N→S) seCond = Current All three are mutually perpendicular (at right angles to one another).
Use your left hand for the motor effect. (The right hand is for the generator effect.)
Quick check

Using the rule

?In Fleming's left-hand rule, which quantity does the first finger represent, and which way does it point?
The d.c. motor

Turning the force into spin

A d.c. motor uses the motor effect to make a coil spin. Current flows round a coil sitting between the poles of a magnet. By Fleming's left-hand rule, one side of the coil is pushed up and the other side is pushed down — so the coil turns.

N S force up force down split-ring commutator
One side up, one side down → the coil rotates. A split-ring commutator swaps the current every half-turn so the coil keeps spinning the same way.

To make the motor turn faster / with more force: increase the current, use a stronger magnet, or add more turns to the coil. To reverse the direction, reverse the current or swap the magnet's poles.

Sort it

Stronger turning force?

Tap the change that would make the motor's turning effect bigger in each pair.

Induced potential Higher tier

Moving a wire generates a voltage

The motor effect run in reverse is the generator effect. If a conductor cuts through magnetic field lines — or the field through a coil changes — a potential difference is induced across it. Connect a circuit and an induced current flows.

N S move → mV a voltage is induced — only while moving
Push the magnet in and the meter kicks one way; pull it out and it kicks the other way. Hold it still and the reading is zero.

Watch out: induction needs a changing field or relative motion. A magnet sitting still inside a coil — no matter how strong — induces no voltage. The faster the change, the bigger the induced p.d.

The size of the induced p.d. is increased by: moving faster, using a stronger magnet, and adding more turns to the coil. Reversing the motion reverses the induced p.d.

Quick check

When is a voltage induced?

?A strong bar magnet is left resting motionless inside a coil of wire connected to a sensitive voltmeter. What does the voltmeter read?
The alternator

The a.c. generator

An alternator generates alternating current (a.c.). A coil is rotated in a magnetic field; as it turns, each side cuts field lines, inducing a p.d. Every half-turn each side swaps from moving up to moving down, so the induced p.d. reverses direction — giving a smoothly alternating output.

p.d. time output reverses every half-turn → alternating current (a.c.)
The output is a sine wave: the p.d. reverses direction every half rotation. Slip rings (not a commutator) keep the coil connected without flipping the output.

The induced p.d. is increased by: spinning the coil faster, using a stronger magnet, adding more turns, or adding an iron core. (A d.c. generator / dynamo uses the same idea but a split-ring commutator to give one-way d.c.)

Match

Generator essentials

Tap a term on the left, then its correct match on the right.

Transformers

Changing the size of an a.c. voltage

A transformer changes the size of an alternating voltage. Two coils are wound on a soft-iron core. The a.c. in the primary makes a changing magnetic field; the core carries it to the secondary, where a changing field induces an a.c. voltage.

soft iron core primary Np turns, Vp a.c. in secondary Ns turns, Vs a.c. out
More turns on the secondary → a bigger output: a step-up transformer. Fewer turns → step-down.

The turns ratio sets the voltage ratio:

Vp / Vs = Np / Nsprimary p.d. ÷ secondary p.d. = primary turns ÷ secondary turns

If a transformer is 100% efficient, the power in equals the power out (P = VI), so:

Vp Ip = Vs Ispower into primary = power out of secondary (when 100% efficient)

Watch out: a transformer only works with alternating current. A steady d.c. current makes a steady field that does not change, so nothing is induced in the secondary. Stepping the voltage up steps the current down by the same factor.

Worked example

A transformer has 100 turns on the primary and 500 on the secondary, with 12 V a.c. in.

Vs = Vp × Ns/Np = 12 × 500/100 = 60 V (a step-up transformer).

Calculate

Your turn — transformer voltage

2A transformer has 800 turns on the primary and 200 turns on the secondary. The primary voltage is 240 V. Calculate the secondary voltage.
V
Hint: Vs = Vp × Ns/Np = 240 × 200/800.
Calculate Higher tier

Your turn — transformer current

3A 100%-efficient transformer has a primary supplied with 230 V at 2.0 A. The secondary output is 23 V. Calculate the current in the secondary coil.
A
Hint: VpIp = VsIs, so Is = (230 × 2.0) ÷ 23.
The National Grid

Why we transmit at high voltage

The National Grid carries electricity from power stations to homes. Transformers make this efficient. A step-up transformer raises the voltage to hundreds of thousands of volts for transmission; a step-down transformer lowers it again to a safe ~230 V for homes.

power station step-UP ↑V ↓I high-V power lines step-DOWN ↓V ↑I 🏠 High V means low I, so far less power is wasted heating the cables.
Transmitting at high voltage keeps the current low. Because power wasted as heat in the cables is I²R, a low current means a much smaller energy loss.

Key idea: for a fixed power, raising the voltage lowers the current (P = VI). The heat lost in the lines is I²R — so halving the current cuts the loss to a quarter. That is the whole reason the Grid runs at very high voltage.

Quick check

Why high voltage?

?Why does the National Grid transmit electricity at very high voltage rather than at mains voltage?
Microphones, speakers & oscillating currents

Sound and the motor / generator effect

These devices are just the motor and generator effects applied to sound:

  • A loudspeaker uses the motor effect. An oscillating (a.c.) current flows through a coil attached to a cone, sitting in a magnetic field. The varying current makes a varying force that pushes the cone in and out, squashing the air to make sound waves.
  • A microphone uses the generator effect — the reverse. Sound waves make a diaphragm (and the coil attached to it) vibrate in a magnetic field, inducing a varying current that matches the sound. The current's frequency matches the sound's frequency.
N/S coil + a.c. cone sound waves →
A loudspeaker turns an oscillating current into sound (motor effect). A microphone does the reverse — sound into a current (generator effect).
Quick check

Speaker or microphone?

?Which device uses the generator effect — converting movement caused by sound waves into a changing electrical current?
Recap

The facts & equations to know

Field lines: outside a magnet, run N → S; denser = stronger.

Around a wire: concentric circles; a solenoid = bar-magnet field.

Motor effect: F = B I L  (max at 90°, zero when ∥ to field).

Direction: Fleming's left hand — thuMb Motion, First Field (N→S), seCond Current.

Induction (HT): needs a changing field / motion; faster = bigger p.d.

Transformer: Vp/Vs = Np/Ns; and VpIp = VsIs (HT).

Grid: high V → low I → low I²R loss. Speakers = motor effect; mics = generator effect.

You've covered all four parts of Eduqas Topic 8 — magnets & fields, the magnetic effect of a current & the motor effect, induced potential & transformers, and microphones, speakers & oscillating currents. Press Finish to see your score.

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