Electromagnetic induction

Physics A2 · Magnetic fields. 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

Magnetic flux measures how much field passes through an area. It is the flux density multiplied by the area at right angles to the field. For a coil of N turns, the flux linkage is N times the flux through one turn.

An e.m.f. is induced whenever the flux linkage of a circuit changes: when a magnet moves near a coil, a coil turns, or the field changes. A steady flux, however large, induces nothing.

Faraday's law gives the size of the e.m.f. Lenz's law gives its direction: the induced current always acts to oppose the change that causes it. This follows from conservation of energy.

Rules to remember

Common mistake

An e.m.f. needs a CHANGE in flux linkage. A magnet at rest inside a coil, or a magnet and coil moving together, give zero e.m.f. Check also whether a given angle is to the plane of the coil or to its normal.

Worked example

A coil of 400 turns, each of area 5.0 × 10−4 m2, is perpendicular to a magnetic field. The flux density rises steadily from 0.10 T to 0.40 T in 0.20 s. What e.m.f. is induced?

  1. Change in flux density = 0.40 − 0.10 = 0.30 T.
  2. Change in flux linkage = NAΔB = 400 × 5.0 × 10−4 × 0.30 = 0.060 Wb.
  3. E = change in flux linkage ÷ time = 0.060 ÷ 0.20 = 0.30 V.

Answer: 0.30 V

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