Electromagnetic induction

NUST NET Physics · Physics · Magnetism and alternating current. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

An EMF is induced in a circuit whenever the magnetic flux through it changes. It does not matter how the change is made: moving a magnet, moving a wire, turning a coil or changing a current nearby. A steady flux, however large, induces nothing.

Faraday's law gives the size of the EMF: the rate of change of flux linkage. Lenz's law gives its direction: the induced current always opposes the change that causes it, which is conservation of energy at work.

A changing current in a coil induces an EMF in the same coil (self-induction) or in a neighbouring coil (mutual induction). Generators and transformers rely on this, so a transformer works only on AC.

Rules to remember

Common mistake

Scaling transformer current the same way as voltage. Power is unchanged in an ideal transformer, so if the voltage is stepped up 5 times the current is stepped down 5 times.

Worked example

The current in a coil of self-inductance 0.40 H falls steadily from 5.0 A to 2.0 A in 0.060 s. What is the size of the induced EMF, and which way does it act?

  1. Change in current: ΔI = 5.0 − 2.0 = 3.0 A.
  2. Rate of change: ΔI/Δt = 3.0/0.060 = 50 A s−1.
  3. EMF = L × ΔI/Δt = 0.40 × 50 = 20 V.
  4. By Lenz's law it opposes the fall, so it acts in the direction of the current and tries to keep it flowing.

Answer: 20 V, acting in the same direction as the current.

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