Skip to topic
    ← Back to course topics

    Electromagnetic induction — Eduqas A-Level Physics

    Test yourself on Electromagnetic induction with EDUQAS A-Level practice questions.

    Start free

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    Electromagnetic induction explained

    This topic covers the principles of electromagnetic induction, starting with the definition of magnetic flux and flux linkage.

    Read the full explanation

    It explores Faraday's and Lenz's laws, applying them to linear conductors moving in magnetic fields and coils rotating within magnetic fields.

    What to demonstrate

    1. Definition of magnetic flux as Φ = AB cosθ
    2. Definition of flux linkage as NΦ
    3. Statement and application of Faraday's law
    Show all 6 objectives
    1. Statement and application of Lenz's law
    2. Calculation of induced emf in a linear conductor moving at right angles to a uniform magnetic field
    3. Qualitative description of induced emf in a rotating coil related to position, flux density, area, and angular velocity

    Electromagnetic induction exam tips

    Topic Overview

    Electromagnetic induction is a cornerstone of A-Level Physics, describing how a changing magnetic field can generate an electromotive force (EMF) in a conductor. This phenomenon, first discovered by Michael Faraday, is the principle behind generators, transformers, and many everyday devices. In the WJEC A-Level specification, you'll explore Faraday's law, Lenz's law, and their applications, linking magnetic flux, flux linkage, and induced EMF. Understanding this topic is essential for grasping how electrical energy is generated and distributed, and it connects deeply with concepts like energy conservation and alternating current.

    The topic builds on your knowledge of magnetic fields and forces, extending it to dynamic situations where fields change over time. You'll learn to calculate induced EMF for moving conductors and changing magnetic flux, using both mathematical and graphical approaches. Practical applications include the operation of dynamos, microphones, and induction cookers, making this a highly relevant area of physics. Mastery of electromagnetic induction also prepares you for more advanced topics like electromagnetic waves and AC circuits, which are crucial for engineering and technology courses.

    In the WJEC exam, questions often involve interpreting graphs of flux against time, applying Lenz's law to determine direction of induced current, and solving problems involving rotating coils in magnetic fields. A solid grasp of the underlying principles, combined with careful attention to sign conventions and units, will help you avoid common pitfalls. This topic not only tests your understanding of physics but also your ability to apply mathematical relationships to real-world scenarios, making it a key area for achieving top marks.

    Key Concepts
    • →Magnetic flux (Φ = BA cosθ) and flux linkage (NΦ) – understanding how the angle between the field and the normal to the coil affects the induced EMF.
    • →Faraday's law: the magnitude of induced EMF is equal to the rate of change of flux linkage (ε = -N dΦ/dt).
    • →Lenz's law: the direction of induced current opposes the change that produced it, ensuring energy conservation.
    • →Factors affecting induced EMF: strength of magnetic field, area of coil, number of turns, speed of motion, and angle of rotation.
    • →Applications: AC generators (alternators) and transformers – how they use electromagnetic induction to convert mechanical energy to electrical energy or change voltage levels.
    Marking Points
    • Definition of magnetic flux as Φ = AB cosθ
    • Definition of flux linkage as NΦ
    • Statement and application of Faraday's law
    • Statement and application of Lenz's law
    • Calculation of induced emf in a linear conductor moving at right angles to a uniform magnetic field
    • Qualitative description of induced emf in a rotating coil related to position, flux density, area, and angular velocity
    Examiner Tips
    • 💡Always check if the question asks for flux or flux linkage
    • 💡Use Lenz's law to determine the direction of induced current before calculating magnitude
    • 💡Ensure the angle used in Φ = AB cosθ is the angle between the normal to the coil and the magnetic field lines
    • 💡Practice sketching graphs of flux linkage and induced emf against time for a rotating coil
    • 💡Always include the negative sign in Faraday's law when writing the equation, and explain that it represents Lenz's law. This shows the examiner you understand the link between the two laws.
    • 💡When solving problems with rotating coils, sketch a graph of flux linkage against time and then deduce the induced EMF graph (the negative gradient). This visual approach often helps avoid sign errors.
    • 💡For transformer questions, remember that power is conserved (assuming 100% efficiency): VpIp = VsIs. Use this to relate currents and voltages, and don't forget to account for the turns ratio.
    Common Mistakes
    • Confusing magnetic flux (Φ) with flux linkage (NΦ)
    • Incorrectly applying Lenz's law direction
    • Forgetting the negative sign in Faraday's law (emf = - rate of change of flux linkage)
    • Misinterpreting the angle θ in the flux equation (angle between coil normal and field)
    • Misconception: Induced EMF only occurs when there is relative motion between a magnet and a coil. Correction: EMF is induced whenever the magnetic flux through a circuit changes, which can also happen by changing the magnetic field strength or the area of the coil, even without motion.
    • Misconception: Lenz's law is just a sign convention. Correction: Lenz's law is a physical consequence of energy conservation – the induced current creates a magnetic field that opposes the change, meaning work must be done to maintain the change, which is why generators require mechanical input.
    • Misconception: The induced EMF is proportional to the flux, not the rate of change. Correction: Faraday's law states that EMF is proportional to the rate of change of flux linkage, not the flux itself. A constant flux produces no EMF.
    Frequently Asked Questions
    What is the difference between magnetic flux and flux linkage?
    Magnetic flux (Φ) is the product of the magnetic flux density (B) and the area (A) perpendicular to the field, i.e., Φ = BA cosθ. Flux linkage (NΦ) is the total flux linking a coil of N turns, so it's N times the flux through one turn. In Faraday's law, the induced EMF depends on the rate of change of flux linkage, not just flux.
    How do I apply Lenz's law to find the direction of induced current?
    Lenz's law states that the induced current flows in a direction that opposes the change causing it. For example, if a magnet moves towards a coil, the induced current creates a magnetic field that repels the magnet (opposing the motion). To find the direction, use the right-hand grip rule: if the induced field opposes the change, the current direction is such that its field acts against the original field change.
    Why does a transformer only work with alternating current (AC)?
    A transformer relies on electromagnetic induction, which requires a changing magnetic flux. Direct current (DC) produces a constant magnetic field, so no EMF is induced in the secondary coil. With AC, the current continuously changes direction, causing a varying magnetic field that induces an alternating EMF in the secondary coil.
    What is the formula for induced EMF in a moving conductor?
    For a straight conductor of length L moving with velocity v perpendicular to a magnetic field B, the induced EMF is given by ε = B L v. This is derived from Faraday's law and is a special case where the rate of change of flux is due to the conductor cutting field lines.
    How does a generator produce electricity?
    A generator (alternator) consists of a coil rotating in a magnetic field. As the coil rotates, the magnetic flux through it changes sinusoidally, inducing an alternating EMF according to Faraday's law. The induced EMF drives current through an external circuit. The mechanical energy of rotation is converted into electrical energy.
    What is the significance of the negative sign in Faraday's law?
    The negative sign in ε = -N dΦ/dt represents Lenz's law, indicating that the induced EMF opposes the change in flux. It ensures energy conservation: if the sign were positive, the induced current would reinforce the change, leading to a runaway effect. The sign is crucial for determining the direction of induced current.