Know that the direction of an induced e.m.f. opposes the change causing it

4.5.1 Electromagnetic Induction

Electromagnetic induction is the process where a changing magnetic field creates an electric current in a conductor. The key idea you need to remember for the IGCSE is that the induced electromotive force (e.m.f.) always acts in a direction that opposes the change that produced it. This is known as Lenz’s Law and is mathematically expressed by Faraday’s law:

\$E = -\dfrac{d\Phi}{dt}\$

The negative sign is the clue: it tells us that the induced e.m.f. works against the change in magnetic flux, Φ, that created it.

Lenz’s Law in Plain English

Imagine you’re pushing a door open. The door resists because of the friction and the hinge’s tension. Similarly, when a magnetic field changes, the induced e.m.f. creates a magnetic field that resists the change. Think of it as the system’s way of saying, “I don’t want this to happen!”

Analogy: The “Squeezing a Sponge” Example ⚡️

• If you squeeze a sponge, it pushes back against the squeeze.

• In induction, when the magnetic flux through a coil increases (like squeezing the sponge), the induced current flows in a direction that creates a magnetic field opposing that increase.

• If the flux decreases (like releasing the squeeze), the induced current flows to try to keep the flux the same, again opposing the change.

Common Situations

  • Moving a magnet into or out of a coil.
  • Rotating a coil in a fixed magnetic field.
  • Changing the current in a nearby coil (mutual induction).

Quick Practice Questions 📚

  1. What happens to the induced e.m.f. if the magnetic field through a coil is increasing?
  2. Describe the direction of the induced current when a magnet is pulled out of a coil.
  3. Explain why a generator can produce electricity when its coil rotates in a magnetic field.

Summary Table of Induced e.m.f. Direction

SituationChange in FluxInduced e.m.f. DirectionResulting Current Flow
Magnet moving into coilIncreasing ΦOpposes increase (creates field outwards)Current flows to produce outward field
Magnet moving out of coilDecreasing ΦOpposes decrease (creates field inwards)Current flows to produce inward field
Coil rotating in fixed fieldΦ varies sinusoidallyAlternating e.m.f. (Lenz’s Law each half‑cycle)Alternating current (AC)