Conceptly
LessonsFormulasPricing
Sign inStart free
Conceptly
TermsPrivacyRefundsPhysics tutoringGCSE PhysicsA-Level PhysicsAP Physics 1
© 2026 Conceptly Physics · Physics for everyone
  1. Home
  2. Lessons
  3. Electromagnetism
  4. Electromagnetic Induction
All lessons Electromagnetism26 min

Electromagnetic Induction

Complete each stage to unlock the next one.

On the syllabus: GCSE Physics · A-Level Physics

← Magnetic Fields and ForcesCapacitors →
01
Hook
02
Explore
03
Formalize
04
Practice
05
Challenge
Interactive simulation
01

Hook

Every time you charge your phone wirelessly, electricity is being created from nothing but a changing magnetic field — no battery-to-battery contact, no wires connecting charger to phone. How is it possible to push electrons through a circuit inside your phone using only a magnetic field outside it?

02

Explore

Complete previous stage
03

Formalize

Complete previous stage
04

Practice

Complete previous stage
05

Challenge

Complete previous stage

Electromagnetic Induction — the short version

The question

Every time you charge your phone wirelessly, electricity is being created from nothing but a changing magnetic field — no battery-to-battery contact, no wires connecting charger to phone. How is it possible to push electrons through a circuit inside your phone using only a magnetic field outside it?

Michael Faraday discovered in 1831 that a changing magnetic field induces a voltage. This single insight — that motion creates electricity — is the operating principle of every power station on Earth. Whether the source is a coal furnace, a nuclear reactor, or a wind turbine, the final step is always the same: spin a magnet near coils of wire.

The key idea

A changing magnetic flux through a coil induces an EMF (voltage). The induced EMF opposes the change that caused it — this is Lenz's Law. The faster the flux changes, or the more turns in the coil, the greater the induced EMF.

Lenz's Law is conservation of energy in disguise. If the induced current helped the flux change instead of opposing it, you'd get a self-accelerating system — free energy. Instead, moving a magnet into a coil induces a current that creates its own opposing magnetic field, making you do work to push the magnet in. That work is exactly the electrical energy generated. Transformers, generators, induction cooktops, wireless chargers, and metal detectors all operate on electromagnetic induction.

The formula

E=−NΔΦΔtΦ=BAcos⁡θE=−NΔtΔΦ​Φ=BAcosθ
  • ·EMF = induced electromotive force (volts)
  • ·N = number of turns in the coil
  • ·dΦ/dt = rate of change of magnetic flux (Wb/s = V)
  • ·Φ = magnetic flux (webers
  • ·Wb)
  • ·B = magnetic field (T)
  • ·A = coil area (m²)
  • ·θ = angle between B and the coil's normal vector. The minus sign is Lenz's Law: the induced current opposes the flux change.

Related lessons

All Electromagnetism lessons
  • Series and Parallel Circuits25 min
  • Lenz's Law24 min
  • Electric Current & Ohm's Law23 min
  • Electric Fields22 min