Magnetism
Senior 2 · Physics
Magnetism
Lesson 4 of 4
25 min
The bell that ends your lesson, the crane that lifts scrap iron at a recycling yard, the relay that switches on a water pump, the lock on a security door and the MRI scanner in a hospital all use a magnet that can be switched on and off: an electromagnet. And when a sensitive instrument must be protected from stray magnetic fields, engineers wrap it in a magnetic shield. Both ideas are in this lesson.
In 1820 the Danish scientist Hans Christian Oersted noticed that a compass needle swung when a nearby wire carried a current. A current produces a magnetic field:
An electromagnet is a solenoid wound on a core of soft iron. When current flows, the soft iron becomes strongly magnetised and adds its field to the coil's, making the magnet hundreds of times stronger. When the current stops, soft iron loses its magnetism almost at once, so the magnet switches off.
The strength of an electromagnet can be increased by:
For coils of the same length on the same core, the strength depends on the product number of turns × current, called the ampere-turns.
Worked example 1. Coil A has 200 turns and carries 3.0 A. Coil B has 400 turns and carries 1.0 A. They are the same length, on identical cores. Which is the stronger electromagnet?
A: 200 × 3.0 = 600 ampere-turns. B: 400 × 1.0 = 400 ampere-turns. A is stronger, even though it has fewer turns.
For a long solenoid with an air core, the field inside is
B = μ₀NI / L
where N is the number of turns, I the current in amperes, L the length of the solenoid in metres, and μ₀ = 4π × 10⁻⁷ T·m/A (a constant called the permeability of free space).
Worked example 2. A solenoid 0.20 m long has 500 turns and carries 2.0 A.
B = 4π × 10⁻⁷ × 500 × 2.0 ÷ 0.20 ≈ 6.28 × 10⁻³ T ≈ 6.3 mT.
That is about the strength of a fridge magnet, and about 126 times the Earth's field (6.28 × 10⁻³ ÷ 5.0 × 10⁻⁵ ≈ 126). A soft-iron core would make it many times stronger again.
Open Faraday's Electromagnetic Lab and choose the Electromagnet screen. Drag the compass around the coil to see that the field looks like a bar magnet's. Then raise the battery voltage (more current) and add loops (more turns), and watch the field get stronger. Reverse the battery and watch the poles swap.

Look at the diagram. The bell uses a make-and-break circuit:
The core and the armature must be soft iron. If they were steel, they would stay magnetised when the current stopped, the armature would stay stuck to the magnet, and the bell would strike once and then fall silent.
Field lines pass far more easily through soft iron than through air. Place a hollow ring or box of soft iron in a magnetic field and the field lines crowd into the iron walls and travel round inside them, instead of crossing the space in the middle. The space inside the box is left almost free of magnetic field. This is magnetic shielding.
Shields protect sensitive instruments (such as meters and navigation compasses on ships), anti-magnetic watches (which have a soft-iron inner case), and the rooms around MRI scanners. The shield must be made of a magnetic material: a box of copper, aluminium, plastic or wood does not stop a steady magnetic field at all, because the field passes straight through non-magnetic materials.
Tip
Stronger electromagnet: "more Current, more Turns, iron Core." Compare coils by ampere-turns (turns × current).
Soft iron is chosen whenever something must let go: electromagnet cores, bell armatures, relay armatures and keepers. Soft iron is also the material for a magnetic shield, because field lines prefer to travel through it.
State three ways to make an electromagnet stronger.
Solution: Increase the current; increase the number of turns; use a soft-iron core.
Which is stronger: 100 turns carrying 5.0 A, or 250 turns carrying 1.5 A (same length and core)?
Solution: 100 × 5.0 = 500 ampere-turns; 250 × 1.5 = 375 ampere-turns. The 100-turn coil carrying 5.0 A is stronger.
A solenoid 0.50 m long has 1000 turns and carries 0.50 A. Find B inside it (μ₀ = 4π × 10⁻⁷ T·m/A). What happens to B if the number of turns is doubled?
Solution: B = 4π × 10⁻⁷ × 1000 × 0.50 ÷ 0.50 ≈ 1.26 × 10⁻³ T ≈ 1.3 mT. B is proportional to N, so doubling the turns doubles B to about 2.5 mT.
An electric bell rings once and then stays silent while the switch is held down. Suggest a fault.
Solution: Possible faults: the armature or core has been replaced by steel, which stays magnetised and holds the armature; or the contact screw is too far away, so the circuit is never made again after the first break.
Uwase wants to protect a sensitive meter from the magnetic field of a nearby motor. She has boxes made of aluminium, copper and soft iron. Which should she use, and why?
Solution: The soft-iron box. Field lines pass easily through soft iron and are guided round the walls, leaving the inside nearly field-free. Aluminium and copper are non-magnetic, so the field passes straight through them.
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