Electromagnetic Induction

Year 11 (IGCSE) ⚡ Electricity & Magnetism  Explain Faraday's law and Lenz's law; describe generators.

🔄 Faraday's Law of Induction

When the magnetic flux through a conductor changes, an EMF is induced. This is the reverse of the motor effect — instead of electricity creating motion, motion creates electricity!

🔄 Faraday's Law
$$\mathcal{E} = -N \frac{\Delta \Phi}{\Delta t} \qquad \Phi = BA$$

$\mathcal{E}$ = induced EMF (V)  ·  $N$ = number of turns  ·  $\Delta\Phi/\Delta t$ = rate of change of magnetic flux (Wb/s = V)

🔬 How to increase induced EMF:
• Move the magnet faster (↑ ΔΦ/Δt)
• Use a stronger magnet (↑ B)
• Increase number of coil turns (↑ N)
• Use a larger coil area (↑ A)

⚡ Lenz's Law

Lenz's Law states that the induced current always flows in a direction to oppose the change that caused it — this is a consequence of energy conservation.

🔄 Think of it as electromagnetic "stubbornness": the induced current always acts to resist the change. If you push a N pole into a coil, the coil becomes a N pole at that end (repelling your push). If you pull it out, the coil becomes a S pole (trying to hold it in)!
🔋 Why generators need energy: As current flows in the coil, it creates a force that opposes rotation (Lenz's Law) — you have to keep doing work to maintain the rotation. This is why power stations need fuel or wind or water!
⚡ Motional EMF
$$\mathcal{E} = BLv$$

A conductor of length $L$ moving at velocity $v$ perpendicular to field $B$

🔌 AC Generators

An AC generator (alternator) converts kinetic energy into electrical energy using electromagnetic induction.

🔩 Component📝 Function
Rotating coil (armature)Sweeps through magnetic field; flux changes continuously
Permanent magnets (stator)Provide the external magnetic field
Slip ringsMaintain electrical contact as the coil rotates (unlike commutator — allows AC output)
Carbon brushesPress against slip rings to collect current
🔌 UK mains electricity is AC at 50 Hz and 230 V (rms) — this comes from generators in power stations spinning at 3000 rpm (50 rotations per second)!
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