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The motor effect

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A wire carrying current in a magnetic field feels a force. This is how electric motors work.

The motor effect

When a current-carrying wire is in a magnetic field, the two fields interact and the wire feels a force.
The force is biggest when the wire is at right angles to the field. There is no force if the wire is parallel to the field.

Fleming's left-hand rule

First finger: Field (north to south).
Second finger: Current (positive to negative).
Thumb: Motion (the force).
Reversing the current or the field reverses the force.

Calculating the force (Higher)

F = B × I × l: force (N) = magnetic flux density (T) × current (A) × length of wire in the field (m).
In a motor, a coil feels forces in opposite directions on each side, so it turns. A split-ring commutator keeps it turning the same way.
Worked example

A 0.05 m wire carries 4 A at right angles to a 0.2 T field. Find the force.

  1. F = B × I × l
  2. F = 0.2 × 4 × 0.05

Answer: 0.04 N

Key idea

Current in a magnetic field gives a force. Fleming's left-hand rule gives the direction. F = BIl. Motors use the force to make a coil spin.

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