Inductance, generators and transformers

MDCAT Physics · Physics · Electromagnetic induction. 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

A changing current in a coil changes the flux through the coil itself, so it induces an EMF that opposes the change. This is self-induction. A changing current in one coil can also induce an EMF in a coil nearby: mutual induction. An inductor carrying a current stores energy in its magnetic field.

In an AC generator a coil turns in a magnetic field and the induced EMF varies as a sine wave. It is greatest when the plane of the coil is parallel to the field, because the flux is then changing fastest.

A transformer uses mutual induction to change an alternating voltage. It does not work on steady DC, and it cannot give out more power than it takes in.

Rules to remember

Common mistake

Thinking a step-up transformer steps up the current too. When the voltage goes up the current goes down by the same factor, because the power stays the same.

Worked example

An ideal transformer has 500 turns on its primary coil and 2000 turns on its secondary. The primary is connected to 110 V AC and the secondary supplies 0.50 A. Find the secondary voltage and the primary current.

  1. Vs = Vp × Ns/Np = 110 × 2000 ÷ 500 = 440 V.
  2. Power out = VsIs = 440 × 0.50 = 220 W = power in.
  3. Ip = 220 ÷ 110 = 2.0 A.

Answer: 440 V and 2.0 A

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