Cambridge IGCSE0972

Electromagnetic effects

Physics 0972 Chapter Notes

What this chapter covers

Electromagnetic effects - Electromagnetic inductionElectromagnetic effects - The a.c. generatorElectromagnetic effects - Magnetic effect of a currentElectromagnetic effects - Force on a current-carrying conductorElectromagnetic effects - The d.c. motorElectromagnetic effects - The transformer
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1. Magnetic Fields from Electric Currents

When an electric current flows through a wire, it creates a magnetic field around it. This is a fundamental principle of electromagnetism. For a long, straight wire, the magnetic field lines are concentric circles centred on the wire. The direction of this field can be found using the 'Right-Hand Grip Rule': if you point your thumb in the direction of the conventional current, your fingers curl in the direction of the magnetic field. For a coil of wire, called a solenoid, the magnetic field inside is strong, uniform, and very similar to the field of a bar magnet, with a clear north and south pole. The strength of the field from either a wire or a solenoid is increased by increasing the current. For a solenoid, the strength also increases with the number of turns of wire per unit length.

Key term

Solenoid: A long coil of wire that creates a strong and uniform magnetic field inside it when an electric current flows through.

Examiner insight

Examiners look for clear diagrams showing concentric circles for a straight wire and parallel, evenly spaced lines inside a solenoid to represent the field.

Common pitfall

Confusing the Right-Hand Grip Rule (for fields from currents) with Fleming's Left-Hand or Right-Hand Rules (for forces and induced currents).

Worked example 14 marks

The diagram shows a cardboard sheet with a wire passing through it. A current flows downwards through the wire.(a) On a copy of the diagram, draw three magnetic field lines to show the pattern and direction of the magnetic field produced.(b) State two ways to increase the strength of this magnetic field.

  1. 1

    Part (a): The field lines for a straight wire are concentric circles. Using the Right-Hand Grip Rule, point your thumb down (in the direction of the current). Your fingers curl in a clockwise direction. Therefore, draw at least two concentric circles with arrows pointing clockwise.

  2. 2

    Part(b) Step 1: The strength of the magnetic field is directly proportional to the current flowing through the wire. Therefore, one way to increase the field strength is to increase the current.

  3. 3

    Part(b) Step 2: The magnetic field is strongest close to the wire and gets weaker further away. While not a way to change the overall field, this is a property. The primary way to increase the strength at any point is increasing the current.

  4. 4

    Final Answer:(a) Concentric circles drawn on the card, centred on the wire, with arrows showing a clockwise direction.(b) 1. Increase the size of the current. 2. (For a solenoid) Add more turns, but for a straight wire, increasing current is the main method.

Recap

  • A current flowing in a conductor produces a magnetic field around it.
  • The magnetic field around a straight wire consists of concentric circles.
  • The Right-Hand Grip Rule is used to determine the direction of the magnetic field.
  • A solenoid is a coil of wire that produces a strong, uniform magnetic field inside it.
  • Increasing the current or the number of turns in a solenoid increases its magnetic field strength.

Quick check

  1. What is the name of the rule used to find the direction of the magnetic field around a current-carrying wire?1 mark
  2. What is a solenoid?1 mark

2. The Motor Effect: Force on a Current

When a wire carrying an electric current is placed in a magnetic field, it can experience a force. This is known as the motor effect. For this force to exist, the wire must not be parallel to the magnetic field lines; the force is maximum when the wire is perpendicular (at 90°) to the field. The magnitude of the force depends on three factors: the strength of the magnetic field (B), the size of the current (I), and the length of the wire within the field (L). The direction of the force is always perpendicular to both the direction of the current and the direction of the magnetic field. We can predict this direction using Fleming's Left-Hand Rule.

Force ∝ Magnetic Field Strength × Current × Length

F ∝ BIL

Key term

Fleming's Left-Hand Rule: A rule to determine the direction of the force (motion) on a current-carrying conductor in a magnetic field, using the thumb (Force), forefinger (Field), and second finger (Current).

Examiner insight

Candidates must be able to apply Fleming's Left-Hand Rule correctly in various orientations. Marks are often lost for incorrect finger alignment or for confusing it with the Right-Hand Rule.

Common pitfall

Forgetting that the force is zero if the current flows parallel to the magnetic field lines.

Fun fact

Maglev (magnetic levitation) trains use the motor effect on a massive scale, using powerful magnetic forces to levitate and propel the train at speeds over 600 km/h.

Worked example 12 marks

A horizontal wire is placed in the uniform magnetic field between the poles of a magnet, as shown. The magnetic field runs from North to South. When the switch is closed, a current flows from left to right in the wire. Determine the direction of the force on the wire.

  1. 1

    Step 1: Identify the directions of the magnetic field and the current.

  2. 2

    The magnetic field (B) goes from North to South, so it is directed downwards.

  3. 3

    The conventional current (I) flows from left to right.

  4. 4

    Step 2: Apply Fleming's Left-Hand Rule.

  5. 5

    Point your Forefinger (Field) downwards.

  6. 6

    Point your seCond finger (Current) from left to right.

  7. 7

    Your ThuMb (representing the force/Motion) will point out of the page.

  8. 8

    Conclusion: The wire will experience a force pushing it out of the page.

Recap

  • A current-carrying wire in a magnetic field experiences a force, which is called the motor effect.
  • The force is greatest when the wire and magnetic field are perpendicular.
  • Increasing the current, magnetic field strength, or length of the wire increases the force.
  • Fleming's Left-Hand Rule is used to predict the direction of the force (motion).
  • Reversing either the current or the magnetic field direction will reverse the direction of the force.

Quick check

  1. In Fleming's Left-Hand Rule, what do the thumb and forefinger represent?2 marks

3. DC Motors and Applications

The motor effect is cleverly used to convert electrical energy into rotational kinetic energy in a DC motor. A simple DC motor consists of a coil of wire free to rotate in a magnetic field. When current flows, the motor effect creates forces on the two sides of the coil in opposite directions (one up, one down), causing it to turn. To ensure the coil keeps spinning in the same direction, a 'split-ring commutator' is used. This special switch reverses the direction of the current in the coil every half-turn, which cleverly reverses the forces on the sides just as the coil passes the vertical position, providing a continuous turning effect. The speed of the motor can be increased by increasing the current, using a stronger magnet, or having more turns on the coil.

Key term

Split-ring commutator: A device in a DC motor that reverses the direction of the current in the coil every half turn to ensure continuous rotation in one direction.

Examiner insight

A clear, step-by-step explanation of how the split-ring commutator works to ensure continuous rotation is essential for high marks on questions about DC motors.

Common pitfall

Confusing the role of the split-ring commutator in a DC motor with the slip rings used in an AC generator.

Worked example 15 marks

The diagram shows a simple DC motor.(a) Explain why the coil starts to rotate when the switch is closed.(b) What is the purpose of the split-ring commutator?

  1. 1

    Part(a) Step 1: When the switch is closed, current flows into the coil. For example, into side X and out of side Y.

  2. 2

    Part(a) Step 2: Side X is in a magnetic field and carrying a current, so it experiences a force (motor effect). Using Fleming's Left-Hand Rule, this force is upwards.

  3. 3

    Part(a) Step 3: Side Y is carrying current in the opposite direction, so it experiences a downward force.

  4. 4

    Part(a) Step 4: The upward force on one side and downward force on the other create a turning effect, causing the coil to rotate.

  5. 5

    Part (b): The split-ring commutator's purpose is to reverse the direction of the current flowing through the coil every half rotation. This ensures the force on the side of the coil moving up is always upwards, and the force on the side moving down is always downwards, resulting in continuous rotation in the same direction.

Recap

  • A DC motor uses the motor effect to convert electrical energy into kinetic energy.
  • Opposite forces on the two sides of the coil cause it to rotate.
  • A split-ring commutator reverses the current every half turn for continuous rotation.
  • Carbon brushes connect the power supply to the moving commutator.
  • Motor speed can be increased with more current, a stronger magnet, or more turns on the coil.

Quick check

  1. What energy conversion takes place in an electric motor?1 mark
  2. State one way to make a DC motor spin faster.1 mark

4. Electromagnetic Induction

Electromagnetic induction is the process of generating a voltage (an electromotive force, or e.m.f.) in a wire or coil. This happens whenever a conductor and a magnetic field are moving relative to each other, causing the wire to 'cut' through magnetic field lines. It can also be induced by placing a coil in a magnetic field that is changing in strength. If the conductor is part of a complete circuit, this induced e.m.f. will cause an induced current to flow. The size of the induced e.m.f. can be increased by: 1. Moving the wire or magnet faster. 2. Using a stronger magnet. 3. Using a coil with more turns. Fleming's Right-Hand Rule is used to determine the direction of the induced current.

Key term

Electromagnetic Induction: The process of generating an electromotive force (e.m.f.) across an electrical conductor in a changing magnetic field or by moving it through a magnetic field.

Examiner insight

Students must be precise: it is the *change* in the magnetic field or the *cutting* of field lines that induces an e.m.f., not just the presence of a field.

Common pitfall

Mixing up Fleming's Left-Hand Rule (for motors) and Right-Hand Rule (for generators/induction). A good mnemonic is 'Right for R-IND-uction' or 'Right for Gene-R-ators'.

Worked example 14 marks

A bar magnet is pushed into a coil of wire connected to a sensitive ammeter, as shown. The ammeter deflects to the right.(a) What will be observed on the ammeter if the magnet is held stationary inside the coil?(b) What will be observed if the magnet is then pulled out of the coil?(c) State how the observation in(b) would change if the magnet were pulled out more quickly.

  1. 1

    Part (a): For induction to occur, there must be a change in the magnetic field. If the magnet is stationary, the magnetic field through the coil is not changing. Therefore, no e.m.f is induced, and the ammeter will read zero.

  2. 2

    Part (b): Pulling the magnet out reverses the direction of the change in the magnetic field. This will induce an e.m.f. and current in the opposite direction to the first case. Therefore, the ammeter will deflect to the left.

  3. 3

    Part (c): The size of the induced e.m.f. is proportional to the rate of change of the magnetic field. Pulling the magnet out more quickly means the magnetic field lines are cut at a faster rate. This will induce a larger e.m.f. and a larger current. Therefore, the ammeter will show a larger deflection to the left.

Recap

  • An e.m.f. is induced when a conductor cuts magnetic field lines or is in a changing magnetic field.
  • An induced current flows if the conductor is part of a complete circuit.
  • No e.m.f. is induced if the magnet and coil are stationary relative to each other.
  • The induced e.m.f. is larger for faster movement, a stronger magnet, or a coil with more turns.
  • Fleming's Right-Hand Rule gives the direction of the induced current.

Quick check

  1. State the three factors that affect the size of an induced e.m.f.3 marks

5. AC Generators

An AC generator (or alternator) is a device that converts mechanical energy into electrical energy using the principle of electromagnetic induction. It is built like a motor, with a coil of wire that is rotated inside a magnetic field. As the coil spins, its sides cut through the magnetic field lines, inducing an e.m.f. across its ends. During one half of the rotation, one side of the coil moves up through the field while the other moves down, inducing a current in one direction. In the next half of the rotation, the sides move in the opposite directions through the field, so the current is induced in the opposite direction. This process creates an alternating current (AC). The generator uses slip rings and carbon brushes to connect the rotating coil to the external circuit without the wires tangling.

Key term

Alternating Current (AC): An electric current that periodically reverses its direction, flowing back and forth in a circuit.

Fun fact

The electricity that powers your home is AC, and its direction flips back and forth 50 times every second (a frequency of 50 Hz) in the UK and many other countries.

Worked example 14 marks

The diagram shows the output voltage from a simple AC generator over time.(a) At which time(s) (A, B, C, D, or E) is the induced voltage at its maximum?(b) Describe the position of the generator coil at these times.(c) At which time(s) is the induced voltage zero?(d) Describe the position of the coil at these times.

  1. 1

    Part (a): The maximum (peak) voltage occurs at the highest and lowest points of the graph. This is at times B and D.

  2. 2

    Part (b): The voltage is maximum when the coil is cutting the magnetic field lines at the fastest rate. This happens when the coil is horizontal, so its sides are moving vertically straight up or down through the magnetic field.

  3. 3

    Part (c): The induced voltage is zero at times A, C, and E.

  4. 4

    Part (d): The voltage is zero when the coil is moving parallel to the magnetic field lines, and therefore not cutting them. This happens when the coil is in the vertical position.

Recap

  • An AC generator converts kinetic energy into electrical energy via electromagnetic induction.
  • It produces an alternating current (AC) which periodically reverses direction.
  • AC generators use slip rings and carbon brushes to make contact with the external circuit.
  • The output voltage is maximum when the coil is horizontal and cutting field lines most rapidly.
  • The output voltage is zero when the coil is vertical and moving parallel to field lines.

Quick check

  1. What is the name of the components that connect the rotating coil of an AC generator to the external circuit?1 mark

6. Transformers

A transformer is a static device that changes the voltage of an alternating current supply. A simple transformer has two coils of wire, the primary coil and the secondary coil, wrapped around a laminated soft iron core. Here's how it works: 1. An alternating voltage applied to the primary coil drives an alternating current through it. 2. This current produces a continuously changing magnetic field in the soft iron core. 3. The changing magnetic field is channelled through the core to the secondary coil. 4. The changing magnetic field passing through the secondary coil induces an alternating voltage across it. The ratio of the voltages is equal to the ratio of the number of turns on the coils. A step-up transformer has more turns on the secondary coil than the primary (Vs > Vp), while a step-down transformer has fewer (Vs < Vp). Transformers only work with AC, as DC would create a constant magnetic field, which cannot induce a voltage.

Vp / Vs = Np / Ns

Vp × Ip = Vs × Is (for a 100% efficient transformer)

Key term

Transformer: A device that uses electromagnetic induction between two coils on an iron core to change the voltage of an alternating current.

Examiner insight

Examiners require a step-by-step explanation for how a transformer works: AC in primary -> changing magnetic field in core -> changing field links to secondary -> induced AC voltage in secondary.

Worked example 15 marks

A transformer is used to step down a mains voltage of 230 V to 11.5 V for a lamp. The primary coil has 800 turns.(a) Calculate the number of turns on the secondary coil.(b) If the transformer is 100% efficient and the lamp draws a current of 2.0 A, calculate the current in the primary coil.

  1. 1

    Part(a) Step 1: Write down the transformer equation: Vp / Vs = Np / Ns.

  2. 2

    Part(a) Step 2: Substitute the known values: 230 / 11.5 = 800 / Ns.

  3. 3

    Part(a) Step 3: Rearrange to find Ns: Ns = 800 × (11.5 / 230).

  4. 4

    Part(a) Step 4: Calculate the result: Ns = 800 × 0.05 = 40 turns.

  5. 5

    Part(b) Step 1: Write down the power equation for a 100% efficient transformer: Vp × Ip = Vs × Is.

  6. 6

    Part(b) Step 2: Substitute the known values: 230 × Ip = 11.5 × 2.0.

  7. 7

    Part(b) Step 3: Rearrange to find Ip: Ip = (11.5 × 2.0) / 230.

  8. 8

    Part(b) Step 4: Calculate the result: Ip = 23 / 230 = 0.10 A.

Recap

  • A transformer changes an AC voltage using a primary coil, a secondary coil, and a soft iron core.
  • Step-up transformers increase voltage (Ns > Np).
  • Step-down transformers decrease voltage (Ns < Np).
  • The ratio of voltages equals the ratio of turns: Vp/Vs = Np/Ns.
  • Transformers require AC; they do not work with DC.
  • For an ideal transformer, input power (VpIp) equals output power (VsIs).

Quick check

  1. A transformer has a primary voltage of 12 V and a secondary voltage of 240 V. Is it a step-up or step-down transformer?1 mark
  2. Why is the core of a transformer made from soft iron?1 mark

7. Transmitting Electrical Power

Electrical power is transported from power stations to consumers through the National Grid, a vast network of cables and transformers. A major challenge is power loss in the transmission cables. The cables have resistance, and as current flows through them, energy is converted into heat and lost to the surroundings. The formula for this power loss is P = I²R, where I is the current and R is the resistance of the cable. This formula shows that the power loss is proportional to the square of the current. Therefore, to minimise heat loss, it is crucial to transmit the electricity with the lowest possible current. Since Power = Voltage × Current (P=VI), for a given amount of power, using a very high voltage allows for a very low current. This is why step-up transformers are used at power stations to increase the voltage to as high as 400,000 V. Near towns and homes, step-down transformers reduce this high voltage to a safe and usable level (e.g., 230 V).

P = VI (Power transmitted)

P = I²R (Power lost as heat in cables)

Key term

National Grid: The nationwide network of high-voltage transmission lines, power stations, and transformers used to deliver electricity from where it is generated to where it is needed.

Examiner insight

Top-level answers explicitly link high voltage to low current (for a given power using P=VI) and then link low current to reduced power loss (using P=I²R).

Worked example 15 marks

A power station generates 200 MW of electrical power. Explain, using calculations, why it is more efficient to transmit this power at 400 kV instead of 40 kV. Assume the transmission cables have a total resistance of 5 Ω.

  1. 1

    Step 1: Calculate the current at 400 kV. P = 200 × 10⁶ W, V = 400 × 10³ V. Using P=VI, I = P/V = (200 × 10⁶) / (400 × 10³) = 500 A.

  2. 2

    Step 2: Calculate the power loss at this current. Using P = I²R, Power Loss = (500)² × 5 = 250,000 × 5 = 1,250,000 W = 1.25 MW.

  3. 3

    Step 3: Calculate the current at 40 kV. P = 200 × 10⁶ W, V = 40 × 10³ V. Using P=VI, I = P/V = (200 × 10⁶) / (40 × 10³) = 5000 A.

  4. 4

    Step 4: Calculate the power loss at this current. Using P = I²R, Power Loss = (5000)² × 5 = 25,000,000 × 5 = 125,000,000 W = 125 MW.

  5. 5

    Step 5: Compare the results. Transmitting at 400 kV loses 1.25 MW, while transmitting at 40 kV loses 125 MW. The power loss is 100 times greater at the lower voltage. Therefore, high-voltage transmission is far more efficient.

Recap

  • Power is lost as heat in transmission cables due to their resistance.
  • The formula for power loss in a cable is P = I²R.
  • To minimise heat loss, the current (I) must be kept as small as possible.
  • Electricity is transmitted at very high voltages to keep the current low for a given power.
  • Step-up transformers increase voltage at power stations for transmission.
  • Step-down transformers decrease voltage near homes for safe use.

Quick check

  1. What is the main reason for using high voltage for long-distance power transmission?1 mark

End-of-chapter exercise

Test yourself on the whole chapter. Work through these before moving on.

  1. Describe how to use the right-hand grip rule to determine the direction of the magnetic field around a straight, current-carrying wire.2 marks
  2. A transformer has a primary coil of 400 turns and a secondary coil of 12,000 turns. An input voltage of 230 V AC is applied. Calculate the output voltage.3 marks
  3. Explain, with reference to the principles of electromagnetic induction, why a transformer will not work with a direct current (DC) supply.3 marks
  4. The diagram shows a simple DC motor with a coil, magnets, and a split-ring commutator. Explain the role of the split-ring commutator in the operation of the motor.4 marks
  5. A straight, horizontal wire is placed in a uniform magnetic field that is directed vertically upwards. When a current flows along the wire from East to West, a force acts on it. Use Fleming's Left-Hand Rule to determine the direction of this force.2 marks
  6. Explain, in terms of electromagnetic induction, how a simple AC generator produces an alternating current as its coil rotates in a magnetic field.4 marks
  7. A power station generates 150 MW of power. It is transmitted through cables with a total resistance of 4.0 Ω. (a) If the power is transmitted at 300 kV, calculate the current in the cables. (b) Using your answer to (a), calculate the power lost as heat in the cables.4 marks
  8. A student drops a bar magnet, south pole first, through a vertical coil of wire connected to a sensitive voltmeter. Describe and explain the reading on the voltmeter as the magnet enters the top of the coil and as it leaves the bottom of the coil.5 marks
  9. Explain how a moving-coil loudspeaker uses an alternating current and the motor effect to produce sound waves.4 marks
  10. State three key differences in the construction and output between a simple DC motor and a simple AC generator.3 marks

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