From principles to machines
Transformers and other applications
Induction does not only produce current: it also transforms it and transmits it without contact. The major example is the transformer. Two coils share the same iron core. An alternating current in the first creates a varying flux; this varying flux, crossing the second coil, induces a voltage there. No electrical connection between the two — only the magnetic flux links them.
coil 1 (N₁ turns) ~~~ iron core ~~~ coil 2 (N₂ turns)
voltage U₁ varying flux voltage U₂
U₂ / U₁ = N₂ / N₁ (the turns ratio sets the voltage)
By choosing the number of turns, you step up or step down the voltage. This is essential to the grid: electricity is carried at very high voltage (fewer losses over long distances), then stepped down near homes. Without transformers, no modern grid.
Contactless induction is everywhere else:
induction hob -> a varying field heats the pan directly
wireless charger -> recharges a phone without wires
RFID badge / card -> the reader powers the chip from a distance
bike dynamo -> lights the lamp as you pedal
Each time, the same principle: a changing magnetic field induces a current or a voltage at a distance. From the power plant to the wireless charger, Faraday's law works away, discreet but ubiquitous, in almost every device around us.

