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Electromagnetism notes and lesson for GCSE physics (free PDF download)

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Electromagnetism notes and lesson for GCSE physics (free PDF download)

Also, this physics grades 9-10 lesson on electromagnetism notes gives the key ideas first, then worked examples and diagrams. After that, practise with the worksheet on electromagnetism and check yourself with the quiz.

Quick answer: Electromagnetism links electricity and magnetism: a current produces a magnetic field, a current-carrying wire in a field feels a force F = B I L, and a changing magnetic field induces a voltage. Moreover, these effects drive motors, generators and transformers.

Level: Physics grades 9-10 (GCSE · IGCSE · O Level · Class 9-10) · Curriculum: HS-PS2-5, GCSE P7

Electromagnetism notes: the key ideas

What is a magnetic field and how do magnets behave?

In addition, every magnet has two poles, north and south. Like poles repel and unlike poles attract. Moreover, around a magnet there is a magnetic field, which you can map with plotting compasses or iron filings.

Definition

A magnetic field is a region in which a magnet, a piece of magnetic material or a current-carrying wire feels a force. Also, its strength B is measured in tesla (T).

Furthermore, field lines show the direction a free north pole would move: they leave the north pole and enter the south pole. Where the lines are crowded together the field is strong, as at the poles.

Bar magnet with red north pole on the right and blue south pole on the left, with curved field lines running from north to south above and belowSNField lines run from N to S outside the magnet and are closest at the poles
Magnetic field of a bar magnet: the lines leave the north pole and enter the south pole.

How does an electric current make a magnet?

A current in a straight wire is surrounded by circular field lines. Grip the wire with your right hand with the thumb along the conventional current: your fingers curl in the direction of the field. In addition, winding the wire into a coil, called a solenoid, makes the fields of all the turns add up. Also, the result looks like a bar magnet with a strong, nearly uniform field inside.

Solenoid with an iron core connected to a cell, conventional current marked, north pole at the right end and south at the left, field line looping over the top+INSsoft iron core inside the coil
An electromagnet: a current in the coil makes a field like a bar magnet’s, strengthened by a soft iron core.

An electromagnet gets stronger with a larger current, more turns of wire, and a core of soft iron. In addition, unlike a permanent magnet it can be switched off, which is why scrapyard cranes use them.

What is the motor effect and how do you calculate the force?

When a wire carrying a current lies across a magnetic field, its own field interacts with the magnet’s field and the wire feels a force. This is the motor effect. The force is greatest when the wire is at right angles to the field and zero when the wire is parallel to it.

Formula

F = B I L
F is the force in newtons (N), B is the magnetic field strength in tesla (T), I is the current in amperes (A) and L is the length of wire in the field in metres (m).

Key law: Fleming’s left-hand rule

Moreover, hold your left hand with the first finger, second finger and thumb at right angles. Furthermore, the first finger points along the field (N to S), the second finger along the current, and the thumb shows the direction of the force or motion.

Wire with current into the page between a north pole on the left and a south pole on the right, magnetic field pointing right and force on the wire pointing downNSFField B (from N to S)wire, current I into the page
A wire carrying current into the page between two poles feels a downward force.
Worked example 1: force

A 0.15 m length of wire carries 4.0 A at right angles to a field of 0.20 T. Find the force.
F = B I L = 0.20 × 4.0 × 0.15 = 0.12 N.

Worked example 2: field strength

A 0.060 m wire carrying 2.5 A feels a force of 0.030 N. Furthermore, find the field.
B = F ÷ (I L) = 0.030 ÷ (2.5 × 0.060) = 0.030 ÷ 0.15 = 0.20 T.

Moreover, in an electric motor a coil sits in the field. Also, the forces on its two sides point in opposite directions and turn the coil. A split-ring commutator reverses the current every half turn so that the coil keeps turning the same way.

How do generators produce a voltage?

If a wire cuts across magnetic field lines, or the magnetic field through a coil changes, a voltage is induced. If the circuit is complete, a current flows. This is electromagnetic induction. The induced voltage is bigger when the magnet moves faster, the magnet is stronger, or the coil has more turns. In addition, no movement and no change in the field means no voltage. A generator spins a coil in a field, so the voltage rises, falls and reverses with each half turn: this is alternating current.

DeviceEnergy inEnergy outKey idea
Motorelectricalkineticforce on a current in a field
Generatorkineticelectrical (a.c.)induction in a spinning coil
Transformera.c. at one voltagea.c. at another voltagechanging field in an iron core

How does a transformer change voltage?

A transformer has two coils wound on one iron core. An alternating current in the primary coil makes a changing field in the core, which induces an alternating voltage in the secondary coil. Moreover, more turns on the secondary give a higher voltage (step-up), fewer turns a lower one (step-down). Also, power stations use step-up transformers to send electricity along cables at very high voltage and low current, and step-down transformers near homes.

Formula

Vp ÷ Vs = Np ÷ Ns and, for an ideal transformer, Vp Ip = Vs Is
V is the voltage in volts (V), N the number of turns, I the current in amperes (A). Furthermore, the letters p and s mean primary and secondary.

Transformer diagram with an alternating supply connected to a primary coil on the left of an iron core and a voltmeter across the secondary coil on the right~VNpNsiron coreVpVs
Transformer: two coils on a laminated iron core. The primary coil is on the left, the secondary on the right.
Worked example 3: transformer

A phone charger steps 230 V down to 12 V. In addition, the primary has 2300 turns.
Ns = Np × Vs ÷ Vp = 2300 × 12 ÷ 230 = 120 turns.
If the output is 12 V at 2.0 A, the power is 24 W, so Ip = 24 ÷ 230 = 0.10 A.

Common mistake

A transformer does not make energy. A step-up transformer raises the voltage but lowers the current by the same factor. It also needs alternating current: a battery gives a steady field and no induced voltage.

Lina’s tip

Also, remember "left hand for motors": first finger = Field, second finger = Current, thumb = Motion. For a transformer, put the larger number of turns with the larger voltage.

Key points to remember
  • In addition, field lines run from north to south outside a magnet; strength B is in tesla (T).
  • Motor effect: F = B I L, direction from Fleming’s left-hand rule.
  • Furthermore, induction needs a changing field: faster, stronger or more turns means more voltage.
  • transformer: Vp ÷ Vs = Np ÷ Ns, and ideally Vp Ip = Vs Is.
  • Transformers work only with alternating current.

Magnets, motors, generators and transformers: frequently asked questions

What is the difference between a motor and a generator?

A motor transfers electrical energy to movement using the force on a current in a field. A generator does the opposite, using movement to induce a voltage.

Why does a transformer not work on direct current?

A steady current makes a steady field, so the field through the secondary coil does not change and no voltage is induced. Only a changing field induces a voltage.

How can you make an electromagnet stronger?

Furthermore, increase the current, add more turns of wire, or put a soft iron core inside the coil. Moreover, the iron becomes magnetised and strengthens the field.

What does the tesla measure?

Also, the tesla measures magnetic field strength. One tesla is the field that exerts a force of 1 N on 1 m of wire carrying 1 A at right angles to the field.

Why do power lines use very high voltage?

For the same power, a higher voltage means a smaller current. Heating losses in the cables depend on the square of the current, so far less energy is wasted.

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